## Carrillo de la Plata, José Antonio

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 Author ID: carrillo.jose-antonio Published as: Carrillo, José A.; Carrillo, J. A.; Carrillo, José Antonio; Carrillo, Jose A.; Carrillo, José-Antonio; Carrillo, Jose Antonio; Carrillo de la Plata, José Antonio; Carrillo de la Plata, Jose A.; Carrillo, Jose-Antonio more...less Homepage: http://wwwf.imperial.ac.uk/~jcarrill/ External Links: MGP · ORCID · Wikidata · dblp · IdRef · theses.fr
 Documents Indexed: 255 Publications since 1995 5 Contributions as Editor · 1 Further Contribution Co-Authors: 244 Co-Authors with 256 Joint Publications 5,854 Co-Co-Authors
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### Co-Authors

 3 single-authored 19 Toscani, Giuseppe 15 Choi, Young-Pil 11 Shu, Chi-Wang 11 Soler, Juan S. 10 Vazquez, Juan Luis 9 Cáceres, María-José 9 Cañizo, José Alfredo 8 Martínez Gamba, Irene 7 Huang, Yanghong 7 Jüngel, Ansgar 6 Arnold, Anton 6 Blanchet, Adrien 6 Calvez, Vincent 6 Delgadino, Matias Gonzalo 6 Di Francesco, Marco 6 Goudon, Thierry 6 Hoffmann, Franca 6 Majorana, Armando 6 Patacchini, Francesco Saverio 6 Rosado, Jesús 6 Schmidtchen, Markus 5 Balagué, Daniel 5 Bostan, Mihai 5 Degond, Pierre 5 Dolbeault, Jean 5 Laurent, Thomas 5 Lisini, Stefano 5 Markowich, Peter Alexander 5 Slepčev, Dejan 5 Vecil, Francesco 5 Wolfram, Marie-Therese 4 Bolley, François 4 Desvillettes, Laurent 4 Fellner, Klemens 4 Ferreira, Lucas Catão de Freitas 4 Figalli, Alessio 4 Gualdani, Maria Pia 4 Gwiazda, Piotr 4 Kalliadasis, Serafim 4 Laurençot, Philippe 4 Martin, Stephan 4 Pareschi, Lorenzo 4 Perez, Sergio P. 4 Perthame, Benoît 4 Zatorska, Ewelina 3 Bailo, Rafael 3 Bisi, Marzia 3 Bonilla, Luis Lopez 3 Carlen, Eric Anders 3 Cordier, Stéphane 3 Craig, Katy 3 Mainini, Edoardo 3 Mancini, Simona 3 Pavliotis, Grigorios A. 3 Villani, Cédric 3 Volzone, Bruno 3 Wróblewska-Kamińska, Aneta 3 Yao, Yao 2 Barbaro, Alethea B. T. 2 Bobylev, Alexandre Vasiljévitch 2 Burger, Martin 2 Cuadrado, Sílvia 2 Düring, Bertram 2 Fagioli, Simone 2 Fornasier, Massimo 2 Frank, Rupert L. 2 Gómez-Castro, David 2 Grunert, Katrin 2 Gvalani, Rishabh S. 2 Ha, Seung-Yeal 2 Hauray, Maxime 2 Hittmeir, Sabine 2 Holden, Helge 2 Hopf, Katharina 2 Hu, Jingwei 2 Karper, Trygve Klovning 2 Klar, Axel 2 Labrunie, Simon 2 Lafitte, Pauline 2 Lattanzio, Corrado 2 Lederman, Claudia B. 2 Mantas Ruiz, José Miguel 2 Marciniak-Czochra, Anna K. 2 Mateu, Joan 2 Matthes, Daniel 2 McCann, Robert J. 2 Mora, Maria Giovanna 2 Murakawa, Hideki 2 Ortega Lopera, Julio 2 Raoul, Gaël 2 Rondi, Luca 2 Salem, Samir 2 Salueña, Clara 2 Santambrogio, Filippo 2 Santos, Matheus C. 2 Scardia, Lucia 2 Schonbek, Maria Elena 2 Sun, Zheng 2 Tadmor, Eitan 2 Tse, Oliver ...and 149 more Co-Authors
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### Serials

 19 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 Journal of Computational Physics 12 Kinetic and Related Models 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Communications in Mathematical Physics 7 Journal of Statistical Physics 7 Communications in Partial Differential Equations 6 Archive for Rational Mechanics and Analysis 6 Nonlinearity 6 Communications in Mathematical Sciences 5 Journal of Mathematical Analysis and Applications 5 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Calculus of Variations and Partial Differential Equations 4 Journal of Functional Analysis 4 Monatshefte für Mathematik 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Scientific Computing 4 SIAM Journal on Applied Mathematics 4 SIAM Journal on Scientific Computing 4 Discrete and Continuous Dynamical Systems 4 Multiscale Modeling & Simulation 3 Mathematical Methods in the Applied Sciences 3 SIAM Journal on Numerical Analysis 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications in Computational Physics 2 Journal of Mathematical Biology 2 Advances in Mathematics 2 Indiana University Mathematics Journal 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Physica D 2 European Journal of Applied Mathematics 2 Journal of Nonlinear Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 2 SIAM Journal on Applied Dynamical Systems 2 Oberwolfach Reports 2 Networks and Heterogeneous Media 2 Journal of Theoretical Biology 2 Nonlinear Analysis. Theory, Methods & Applications 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Fluid Mechanics 1 Mathematical Biosciences 1 Physics Letters. A 1 Transport Theory and Statistical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 International Journal of Parallel Programming 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 Proceedings of the National Academy of Sciences of the United States of America 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Communications in Analysis and Geometry 1 Vietnam Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Contemporary Mathematics 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Computational Methods in Sciences and Engineering 1 Rivista di Matematica della Università di Parma. Serie 7 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis and Applications (Singapore) 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Contemporary Mathematics 1 Lecture Notes in Mathematics 1 The Journal of Mathematical Neuroscience 1 Forum of Mathematics, Sigma 1 Advances in Nonlinear Analysis 1 Philosophical Transactions A. Royal Society of London 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Elliptic and Parabolic Equations 1 Modeling and Simulation in Science, Engineering and Technology
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### Fields

 201 Partial differential equations (35-XX) 96 Statistical mechanics, structure of matter (82-XX) 67 Biology and other natural sciences (92-XX) 58 Numerical analysis (65-XX) 55 Fluid mechanics (76-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 13 Integral equations (45-XX) 11 Mechanics of deformable solids (74-XX) 10 Probability theory and stochastic processes (60-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

234 Publications have been cited 5,416 times in 2,394 Documents Cited by Year
Asymptotic flocking dynamics for the kinetic Cucker-Smale model. Zbl 1223.35058
Carrillo, J. A.; Fornasier, M.; Rosado, J.; Toscani, G.
2010
Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates. Zbl 1073.35127
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
2003
Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
2006
Particle, kinetic, and hydrodynamic models of swarming. Zbl 1211.91213
Carrillo, José A.; Fornasier, Massimo; Toscani, Giuseppe; Vecil, Francesco
2010
A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005
Cañizo, J. A.; Carrillo, J. A.; Rosado, J.
2011
Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Zbl 0984.35027
Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A.
2001
Infinite time aggregation for the critical Patlak-Keller-Segel model in $$\mathbb R^2$$. Zbl 1155.35100
2008
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations. Zbl 1215.35045
Carrillo, J. A.; Difrancesco, M.; Figalli, A.; Laurent, T.; Slepčev, D.
2011
Asymptotic $$L^1$$-decay of solutions of the porous medium equation to self-similarity. Zbl 0963.35098
Carrillo, J. A.; Toscani, G.
2000
Volume effects in the Keller–Segel model: energy estimates preventing blow-up. Zbl 1116.35057
Calvez, Vincent; Carrillo, José A.
2006
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
2009
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. Zbl 1172.35035
Blanchet, Adrien; Carrillo, José A.; Laurençot, Philippe
2009
Double milling in self-propelled swarms from kinetic theory. Zbl 1195.92069
Carrillo, José A.; D’Orsogna, M. R.; Panferov, V.
2009
Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041
Bolley, François; Cañizo, José A.; Carrillo, José A.
2011
Convergence of the mass-transport steepest descent scheme for the subcritical Patlak-Keller-Segel model. Zbl 1205.65332
Blanchet, Adrien; Calvez, Vincent; Carrillo, José A.
2008
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077
Carrillo, José A.; Chertock, Alina; Huang, Yanghong
2015
On some properties of kinetic and hydrodynamic equations for inelastic interactions. Zbl 1056.76071
Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M.
2000
Dimensionality of local minimizers of the interaction energy. Zbl 1311.49053
Balagué, D.; Carrillo, J. A.; Laurent, T.; Raoul, G.
2013
Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model. Zbl 1237.35155
Blanchet, Adrien; Carlen, Eric A.; Carrillo, José A.
2012
Stability and asymptotic analysis of a fluid-particle interaction model. Zbl 1105.35088
Carrillo, José A.; Goudon, Thierry
2006
Self-propelled interacting particle systems with roosting force. Zbl 1197.92052
Carrillo, José A.; Klar, Axel; Martin, Stephan; Tiwari, Sudarshan
2010
A non-Maxwellian steady distribution for one-dimensional granular media. Zbl 0921.60057
Benedetto, D.; Caglioti, E.; Carrillo, J. A.; Pulvirenti, M.
1998
Nonlocal interactions by repulsive-attractive potentials: radial ins/stability. Zbl 1286.35038
Balagué, D.; Carrillo, J. A.; Laurent, T.; Raoul, G.
2013
Critical thresholds in 1D Euler equations with non-local forces. Zbl 1356.35174
Carrillo, José A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui
2016
Mean-field limit for the stochastic Vicsek model. Zbl 1239.91127
Bolley, François; Cañizo, José A.; Carrillo, José A.
2012
Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system. Zbl 1215.35127
Carrillo, José A.; Duan, Renjun; Moussa, Ayman
2011
Long-Time asymptotics for strong solutions of the thin film equation. Zbl 0990.35054
Carrillo, J. A.; Toscani, G.
2002
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît
2011
A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: Performance and comparisons with Monte Carlo methods. Zbl 1034.82063
Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang
2003
Sharp conditions to avoid collisions in singular Cucker-Smale interactions. Zbl 1383.34069
Carrillo, José A.; Choi, Young-Pil; Mucha, Piotr B.; Peszek, Jan
2017
Existence of compactly supported global minimisers for the interaction energy. Zbl 1317.82010
Cañizo, José A.; Carrillo, José A.; Patacchini, Francesco S.
2015
Regularity of local minimizers of the interaction energy via obstacle problems. Zbl 1337.49066
Carrillo, J. A.; Delgadino, M. G.; Mellet, A.
2016
A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity. Zbl 1252.35224
Carrillo, José A.; Ferreira, Lucas C. F.; Precioso, Juliana C.
2012
Contractive probability metrics and asymptotic behavior of dissipative kinetic equations. Zbl 1142.82018
Carrillo, J. A.; Toscani, G.
2007
Nonoscillatory interpolation methods applied to Vlasov-based models. Zbl 1151.35397
Carrillo, J. A.; Vecil, F.
2007
Numerical simulation of diffusive and aggregation phenomena in nonlinear continuity equations by evolving diffeomorphisms. Zbl 1205.65265
Carrillo, J. A.; Moll, J. S.
2009
Structured populations, cell growth and measure valued balance laws. Zbl 1250.47080
Carrillo, J. A.; Colombo, R. M.; Gwiazda, P.; Ulikowska, A.
2012
Fine asymptotics for fast diffusion equations. Zbl 1036.35100
Carrillo, José A.; Vázquez, Juan L.
2003
Sharp logarithmic Sobolev inequalities on gradient solitons and applications. Zbl 1197.53083
Carrillo, José A.; Ni, Lei
2009
Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations. Zbl 0922.35131
Carrillo, J. A.; Toscani, G.
1998
Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system. Zbl 0873.35066
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis
1996
Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109
Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C.
2004
Equilibria of homogeneous functionals in the fair-competition regime. Zbl 1373.35316
Calvez, V.; Carrillo, J. A.; Hoffmann, F.
2017
On the dynamics of a fluid-particle interaction model: the bubbling regime. Zbl 1214.35068
Carrillo, J. A.; Karper, T.; Trivisa, K.
2011
An analytical framework for consensus-based global optimization method. Zbl 1397.35311
Carrillo, José A.; Choi, Young-Pil; Totzeck, Claudia; Tse, Oliver
2018
On the analysis of a coupled kinetic-fluid model with local alignment forces. Zbl 1339.35233
Carrillo, José A.; Choi, Young-Pil; Karper, Trygve K.
2016
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows. Zbl 1256.42028
Carlen, Eric A.; Carrillo, José A.; Loss, Michael
2010
Stability analysis of flock and mill rings for second order models in swarming. Zbl 1305.37044
Albi, G.; Balagué, D.; Carrillo, J. A.; von Brecht, J.
2014
The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations. Zbl 1136.76052
Carrillo, José A.; Ferreira, Lucas C. F.
2008
Nonlinear mobility continuity equations and generalized displacement convexity. Zbl 1225.49043
Carrillo, J. A.; Lisini, S.; Savaré, G.; Slepčev, D.
2010
Phase transitions in a kinetic flocking model of Cucker-Smale type. Zbl 1356.35260
Barbaro, Alethea B. T.; Cañizo, José A.; Carrillo, José A.; Degond, Pierre
2016
Contractive metrics for a Boltzmann equation for granular gases: Diffusive equilibria. Zbl 1085.82008
Bisi, M.; Carrillo, J. A.; Toscani, G.
2005
Global weak solutions for the initial-boundary-value problems to the Vlasov-Poisson-Fokker-Planck system. Zbl 0910.35101
Carrillo, José A.
1998
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system. Zbl 1252.65157
Ayuso, Blanca; Carrillo, José A.; Shu, Chi-Wang
2011
Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics. Zbl 1427.35136
Carrillo, J. A.; Hittmeir, S.; Volzone, B.; Yao, Y.
2019
Ground states for diffusion dominated free energies with logarithmic interaction. Zbl 1323.35095
Carrillo, José Antonio; Castorina, Daniele; Volzone, Bruno
2015
A blob method for diffusion. Zbl 1442.35324
Carrillo, José Antonio; Craig, Katy; Patacchini, Francesco S.
2019
Measure solutions for some models in population dynamics. Zbl 1257.35185
2013
Wasserstein metric and large-time asymptotics of nonlinear diffusion equations. Zbl 1089.76055
Carrillo, J. A.; Toscani, G.
2005
Ground states in the diffusion-dominated regime. Zbl 1430.35122
Carrillo, José A.; Hoffmann, Franca; Mainini, Edoardo; Volzone, Bruno
2018
Contractivity of transport distances for the kinetic Kuramoto equation. Zbl 1303.82016
Carrillo, José A.; Choi, Young-Pil; Ha, Seung-Yeal; Kang, Moon-Jin; Kim, Yongduck
2014
On the initial value problem for the Vlasov-Poisson-Fokker-Planck system with initial data in $$L^ p$$ spaces. Zbl 0829.35096
Carrillo, José A.; Soler, Juan
1995
Mean-field limit for collective behavior models with sharp sensitivity regions. Zbl 1404.92222
Carrillo, José A.; Choi, Young-Pil; Hauray, Maxime; Salem, Samir
2019
Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382
Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E.
2013
Discontinuous Galerkin methods for the multi-dimensional Vlasov-Poisson problem. Zbl 1258.65084
De Dios, Blanca Ayuso; Carrillo, José A.; Shu, Chi-Wang
2012
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
2010
Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049
Carrillo, J. A.; Huang, Y.; Martin, S.
2014
Zoology of a nonlocal cross-diffusion model for two species. Zbl 1392.35179
Carrillo, José A.; Huang, Yanghong; Schmidtchen, Markus
2018
Uniqueness for Keller-Segel-type chemotaxis models. Zbl 1277.35009
Carrillo, José Antonio; Lisini, Stefano; Mainini, Edoardo
2014
Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms. Zbl 1373.82070
Carrillo, José A.; Ranetbauer, Helene; Wolfram, Marie-Therese
2016
2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods. Zbl 1098.82033
Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang
2006
Confinement for repulsive-attractive kernels. Zbl 1304.35703
Balagué, Daniel; Carrillo, José A.; Yao, Yao
2014
Long-time behavior for a nonlinear fourth-order parabolic equation. Zbl 1077.35028
Cáceres, María J.; Carrillo, J. A.; Toscani, G.
2005
On global minimizers of repulsive-attractive power-law interaction energies. Zbl 1353.49002
Carrillo, José Antonio; Chipot, Michel; Huang, Yanghong
2014
A hybrid variational principle for the Keller-Segel system in $$\mathbb{R}^{2}$$. Zbl 1334.35086
Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano
2015
Local well-posedness of the generalized Cucker-Smale model with singular kernels. Zbl 1356.35252
Carrillo, José A.; Choi, Young-Pil; Hauray, Maxime
2014
Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles. Zbl 1045.35094
Cáceres, Maria J.; Carrillo, José A.; Goudon, Thierry
2003
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. Zbl 1380.65287
Sun, Zheng; Carrillo, José A.; Shu, Chi-Wang
2018
Nonlinear stability of flock solutions in second-order swarming models. Zbl 1302.34082
Carrillo, J. A.; Huang, Yanghong; Martin, S.
2014
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332
Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier
2015
Splitting schemes and segregation in reaction cross-diffusion systems. Zbl 1402.35147
Carrillo, J. A.; Fagioli, S.; Santambrogio, F.; Schmidtchen, M.
2018
Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities. Zbl 1277.35051
Calvez, Vincent; Carrillo, José Antonio
2012
Simulation of fluid and particles flows: asymptotic preserving schemes for bubbling and flowing regimes. Zbl 1141.76050
Carrillo, José-Antonio; Goudon, Thierry; Lafitte, Pauline
2008
Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system. Zbl 0888.35018
Bonilla, L. L.; Carrillo, J. A.; Soler, J.
1997
Confinement in nonlocal interaction equations. Zbl 1233.35032
Carrillo, J. A.; Di Francesco, M.; Figalli, A.; Laurent, T.; Slepčev, D.
2012
On a nonlocal elliptic equation with decreasing nonlinearity arising in plasma physics and heat conduction. Zbl 0895.35037
Carrillo, J. A.
1998
The Filippov characteristic flow for the aggregation equation with mildly singular potentials. Zbl 1323.35005
Carrillo, J. A.; James, F.; Lagoutière, F.; Vauchelet, N.
2016
On the pressureless damped Euler-Poisson equations with quadratic confinement: critical thresholds and large-time behavior. Zbl 1349.35378
Carrillo, José A.; Choi, Young-Pil; Zatorska, Ewelina
2016
Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model. Zbl 1263.35131
Carrillo, José Antonio; Hittmeir, Sabine; Jüngel, Ansgar
2012
Decay rates in probability metrics towards homogeneous cooling states for the inelastic Maxwell model. Zbl 1135.82028
Bisi, M.; Carrillo, J. A.; Toscani, G.
2006
Nonlinear stability in $$L^p$$ for a confined system of charged particles. Zbl 1015.35015
Cáceres, María J.; Carrillo, José A.; Dolbeault, Jean
2002
The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime. Zbl 1384.35134
Calvez, Vincent; Carrillo, José Antonio; Hoffmann, Franca
2017
Geometry of minimizers for the interaction energy with mildly repulsive potentials. Zbl 1408.49035
Carrillo, J. A.; Figalli, A.; Patacchini, F. S.
2017
1D nonlinear Fokker-Planck equations for fermions and bosons. Zbl 1151.35044
Carrillo, J. A.; Rosado, J.; Salvarani, F.
2008
A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics. Zbl 1217.82062
Cáceres, María J.; Carrillo, José A.; Tao, Louis
2011
Uniqueness of bounded solutions to aggregation equations by optimal transport methods. Zbl 1198.35007
2010
Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G.
2002
Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D. Zbl 1316.35077
Bonaschi, Giovanni A.; Carrillo, José A.; Di Francesco, Marco; Peletier, Mark A.
2015
Numerical schemes of diffusion asymptotics and moment closures for kinetic equations. Zbl 1203.65015
Carrillo, J. A.; Goudon, T.; Lafitte, P.; Vecil, F.
2008
Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering. Zbl 1125.35053
Carrillo, J. A.; Di Francesco, M.; Toscani, G.
2007
Primal dual methods for Wasserstein gradient flows. Zbl 07533993
Carrillo, José A.; Craig, Katy; Wang, Li; Wei, Chaozhen
2022
Infinite-time concentration in aggregation-diffusion equations with a given potential. Zbl 1481.35048
Carrillo, Jose A.; Gómez-Castro, David; Vázquez, Juan Luis
2022
Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility. Zbl 1484.35283
Carrillo, J. A.; Gómez-Castro, D.; Vázquez, J. L.
2022
Boltzmann to Landau from the gradient flow perspective. Zbl 07499494
Carrillo, José A.; Delgadino, Matias G.; Wu, Jeremy
2022
A consensus-based global optimization method for high dimensional machine learning problems. Zbl 1480.60195
Carrillo, José A.; Jin, Shi; Li, Lei; Zhu, Yuhua
2021
Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations. Zbl 1466.35343
Carrillo, J. A.; Vaes, U.
2021
Lagrangian schemes for Wasserstein gradient flows. Zbl 1473.65185
Carrillo, Jose A.; Matthes, Daniel; Wolfram, Marie-Therese
2021
Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability. Zbl 1464.35013
Carrillo, Jose A.; Li, Jingyu; Wang, Zhi-An
2021
Mean-field limits: from particle descriptions to macroscopic equations. Zbl 1478.35170
Carrillo, José A.; Choi, Young-Pil
2021
Uniqueness of stationary states for singular Keller-Segel type models. Zbl 1458.35004
Calvez, Vincent; Carrillo, José Antonio; Hoffmann, Franca
2021
Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces. Zbl 1483.35267
Carrillo, José A.; Choi, Young-Pil; Jung, Jinwook
2021
The equilibrium measure for an anisotropic nonlocal energy. Zbl 1469.31005
Carrillo, J. A.; Mateu, J.; Mora, M. G.; Rondi, L.; Scardia, L.; Verdera, J.
2021
High-order well-balanced finite-volume schemes for hydrodynamic equations with nonlocal free energy. Zbl 1469.65138
Carrillo, José A.; Castro, Manuel J.; Kalliadasis, Serafim; Perez, Sergio P.
2021
Variational asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system. Zbl 1467.82071
Carrillo, Jose A.; Wang, Li; Xu, Wuzhe; Yan, Ming
2021
Phase transitions for nonlinear nonlocal aggregation-diffusion equations. Zbl 1461.35134
Carrillo de la Plata, José Antonio; Gvalani, Rishabh S.
2021
A finite-volume method for fluctuating dynamical density functional theory. Zbl 07511405
Russo, Antonio; Perez, Sergio P.; Durán-Olivencia, Miguel A.; Yatsyshin, Peter; Carrillo, José A.; Kalliadasis, Serafim
2021
Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025
Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A.
2020
Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces. Zbl 1440.35322
Carrillo, José A.; Choi, Young-Pil
2020
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion. Zbl 1443.76155
Carrillo, José A.; Filbet, Francis; Schmidtchen, Markus
2020
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. Zbl 1475.35036
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu
2020
Relative entropy method for the relaxation limit of hydrodynamic models. Zbl 1455.35181
Carrillo, José Antonio; Peng, Yingping; Wróblewska-Kamińska, Aneta
2020
Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure. Zbl 1467.35317
Bailo, Rafael; Carrillo, José A.; Hu, Jingwei
2020
The ellipse law: Kirchhoff meets dislocations. Zbl 07160967
Carrillo, J. A.; Mateu, J.; Mora, M. G.; Rondi, L.; Scardia, L.; Verdera, J.
2020
Well-balanced finite-volume schemes for hydrodynamic equations with general free energy. Zbl 1434.82098
Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P.; Shu, Chi-Wang
2020
Segregation effects and gap formation in cross-diffusion models. Zbl 1445.35048
Burger, Martin; Carrillo, José A.; Pietschmann, Jan-Frederik; Schmidtchen, Markus
2020
On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift. Zbl 1433.35408
Carrillo, José A.; Hopf, Katharina; Rodrigo, José L.
2020
Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions. Zbl 1441.35103
Carrillo, José Antonio; Di Francesco, Marco; Esposito, Antonio; Fagioli, Simone; Schmidtchen, Markus
2020
The role of a strong confining potential in a nonlinear Fokker-Planck equation. Zbl 1442.35023
Alasio, Luca; Bruna, Maria; Carrillo, José Antonio
2020
A $$\lambda$$-convexity based proof for the propagation of chaos for weakly interacting stochastic particles. Zbl 1459.60005
Carrillo, J. A.; Delgadino, M. G.; Pavliotis, G. A.
2020
Special issue on mathematical models for collective dynamics. Zbl 07291680
2020
A Lipschitz metric for the Camassa-Holm equation. Zbl 1442.35371
Carrillo, José A.; Grunert, Katrin; Holden, Helge
2020
Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations. Zbl 1460.65160
Bailo, Rafael; Carrillo, José A.; Murakawa, Hideki; Schmidtchen, Markus
2020
Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics. Zbl 1427.35136
Carrillo, J. A.; Hittmeir, S.; Volzone, B.; Yao, Y.
2019
A blob method for diffusion. Zbl 1442.35324
Carrillo, José Antonio; Craig, Katy; Patacchini, Francesco S.
2019
Mean-field limit for collective behavior models with sharp sensitivity regions. Zbl 1404.92222
Carrillo, José A.; Choi, Young-Pil; Hauray, Maxime; Salem, Samir
2019
Aggregation-diffusion equations: dynamics, asymptotics, and singular limits. Zbl 1451.76117
Carrillo, José A.; Craig, Katy; Yao, Yao
2019
A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation. Zbl 1414.92133
Carrillo, Jose A.; Murakawa, Hideki; Sato, Makoto; Togashi, Hideru; Trush, Olena
2019
Structure preserving schemes for the continuum Kuramoto model: phase transitions. Zbl 1416.65028
Carrillo, José A.; Choi, Young-Pil; Pareschi, Lorenzo
2019
Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces. Zbl 1470.35267
Carrillo, José A.; Choi, Young-Pil; Tse, Oliver
2019
Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties. Zbl 1434.35230
Carrillo, José Antonio; Zanella, Mattia
2019
Existence of ground states for aggregation-diffusion equations. Zbl 1433.35417
Carrillo, J. A.; Delgadino, M. G.; Patacchini, F. S.
2019
Propagation of chaos for the Vlasov-Poisson-Fokker-Planck equation with a polynomial cut-off. Zbl 1417.35201
Carrillo, José A.; Choi, Young-Pil; Salem, Samir
2019
An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems. Zbl 1420.65095
Sun, Zheng; Carrillo, José A.; Shu, Chi-Wang
2019
On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions. Zbl 1411.35224
Carrillo, José A.; Wróblewska-Kamińska, Aneta; Zatorska, Ewelina
2019
Reverse Hardy-Littlewood-Sobolev inequalities. Zbl 1442.35011
Carrillo, José A.; Delgadino, Matías G.; Dolbeault, Jean; Frank, Rupert L.; Hoffmann, Franca
2019
A Lipschitz metric for the Hunter-Saxton equation. Zbl 1420.35305
Carrillo, José Antonio; Grunert, Katrin; Holden, Helge
2019
Hydrodynamic limits for kinetic flocking models of Cucker-Smale type. Zbl 1470.92398
Aceves-Sánchez, Pedro; Bostan, Mihai; Carrillo, Jose-Antonio; Degond, Pierre
2019
Stability analysis of line patterns of an anisotropic interaction model. Zbl 1430.35026
Carrillo, José A.; Düring, Bertram; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane
2019
Exponential equilibration of genetic circuits using entropy methods. Zbl 1414.35233
Cañizo, José A.; Carrillo, José A.; Pájaro, Manuel
2019
The escalator boxcar train method for a system of age-structured equations in the space of measures. Zbl 1426.65150
Carrillo, José Antonio; Gwiazda, Piotr; Kropielnicka, Karolina; Marciniak-Czochra, Anna K.
2019
Uniform in time $$L^{\infty }$$-estimates for nonlinear aggregation-diffusion equations. Zbl 1423.35168
Carrillo, Jose A.; Wang, Jinhuan
2019
Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations. Zbl 1423.60119
Carrillo, José A.; Jüngel, Ansgar; Santos, Matheus C.
2019
A hybrid mass transport finite element method for Keller-Segel type systems. Zbl 1457.65100
Carrillo, J. A.; Kolbe, N.; Lukáčová-Medvid&rsquo;ová, M.
2019
An analytical framework for consensus-based global optimization method. Zbl 1397.35311
Carrillo, José A.; Choi, Young-Pil; Totzeck, Claudia; Tse, Oliver
2018
Ground states in the diffusion-dominated regime. Zbl 1430.35122
Carrillo, José A.; Hoffmann, Franca; Mainini, Edoardo; Volzone, Bruno
2018
Zoology of a nonlocal cross-diffusion model for two species. Zbl 1392.35179
Carrillo, José A.; Huang, Yanghong; Schmidtchen, Markus
2018
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. Zbl 1380.65287
Sun, Zheng; Carrillo, José A.; Shu, Chi-Wang
2018
Splitting schemes and segregation in reaction cross-diffusion systems. Zbl 1402.35147
Carrillo, J. A.; Fagioli, S.; Santambrogio, F.; Schmidtchen, M.
2018
A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes. Zbl 1404.65083
Carrillo, José A.; Düring, Bertram; Matthes, Daniel; McCormick, David S.
2018
Adhesion and volume constraints via nonlocal interactions determine cell organisation and migration profiles. Zbl 1397.92092
Carrillo, José Antonio; Colombi, Annachiara; Scianna, Marco
2018
Convergence of a linearly transformed particle method for aggregation equations. Zbl 1408.65066
Campos Pinto, Martin; Carrillo, José A.; Charles, Frédérique; Choi, Young-Pil
2018
Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions. Zbl 1382.82028
Barré, Julien; Carrillo, J. A.; Degond, P.; Peurichard, Diane; Zatorska, E.
2018
Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime. Zbl 1428.35618
Carrillo, José A.; Sugiyama, Yoshie
2018
$$L^\infty$$ estimates for the JKO scheme in parabolic-elliptic Keller-Segel systems. Zbl 1391.35197
Carrillo, José-Antonio; Santambrogio, Filippo
2018
Pedestrian models based on rational behaviour. Zbl 1410.91376
Bailo, Rafael; Carrillo, José A.; Degond, Pierre
2018
Sharp conditions to avoid collisions in singular Cucker-Smale interactions. Zbl 1383.34069
Carrillo, José A.; Choi, Young-Pil; Mucha, Piotr B.; Peszek, Jan
2017
Equilibria of homogeneous functionals in the fair-competition regime. Zbl 1373.35316
Calvez, V.; Carrillo, J. A.; Hoffmann, F.
2017
The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime. Zbl 1384.35134
Calvez, Vincent; Carrillo, José Antonio; Hoffmann, Franca
2017
Geometry of minimizers for the interaction energy with mildly repulsive potentials. Zbl 1408.49035
Carrillo, J. A.; Figalli, A.; Patacchini, F. S.
2017
Numerical study of a particle method for gradient flows. Zbl 1354.65180
Carrillo, José Antonio; Huang, Yanghong; Patacchini, Francesco Saverio; Wolansky, Gershon
2017
Explicit equilibrium solutions for the aggregation equation with power-law potentials. Zbl 1354.45001
Carrillo, José A.; Huang, Yanghong
2017
Weak solutions for Euler systems with non-local interactions. Zbl 1375.35341
Carrillo, José A.; Feireisl, Eduard; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka
2017
Reduced fluid models for self-propelled particles interacting through alignment. Zbl 1372.92117
Bostan, Mihai; Carrillo, Jose Antonio
2017
Critical thresholds in 1D Euler equations with non-local forces. Zbl 1356.35174
Carrillo, José A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui
2016
Regularity of local minimizers of the interaction energy via obstacle problems. Zbl 1337.49066
Carrillo, J. A.; Delgadino, M. G.; Mellet, A.
2016
On the analysis of a coupled kinetic-fluid model with local alignment forces. Zbl 1339.35233
Carrillo, José A.; Choi, Young-Pil; Karper, Trygve K.
2016
Phase transitions in a kinetic flocking model of Cucker-Smale type. Zbl 1356.35260
Barbaro, Alethea B. T.; Cañizo, José A.; Carrillo, José A.; Degond, Pierre
2016
Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms. Zbl 1373.82070
Carrillo, José A.; Ranetbauer, Helene; Wolfram, Marie-Therese
2016
The Filippov characteristic flow for the aggregation equation with mildly singular potentials. Zbl 1323.35005
Carrillo, J. A.; James, F.; Lagoutière, F.; Vauchelet, N.
2016
On the pressureless damped Euler-Poisson equations with quadratic confinement: critical thresholds and large-time behavior. Zbl 1349.35378
Carrillo, José A.; Choi, Young-Pil; Zatorska, Ewelina
2016
An improved version of the Hughes model for pedestrian flow. Zbl 1337.35152
Carrillo, Jose A.; Martin, Stephan; Wolfram, Marie-Therese
2016
Nonlocal-interaction equations on uniformly prox-regular sets. Zbl 1353.35110
Wu, Lijiang; Slepčev, Dejan; Carrillo, José A.
2016
Convergence of a particle method for diffusive gradient flows in one dimension. Zbl 1357.65146
Carrillo, J. A.; Patacchini, F. S.; Sternberg, P.; Wolansky, G.
2016
Single to double mill small noise transition via semi-Lagrangian finite volume methods. Zbl 1348.92171
Carrillo, José A.; Klar, Axel; Roth, Andreas
2016
Condensation phenomena in nonlinear drift equations. Zbl 1355.35134
Carrillo, José A.; Di Francesco, Marco; Toscani, Giuseppe
2016
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009
Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A.
2016
The Fokker-Planck equation for bosons in 2D: well-posedness and asymptotic behavior. Zbl 1339.35321
Cañizo, José A.; Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús
2016
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077
Carrillo, José A.; Chertock, Alina; Huang, Yanghong
2015
Existence of compactly supported global minimisers for the interaction energy. Zbl 1317.82010
Cañizo, José A.; Carrillo, José A.; Patacchini, Francesco S.
2015
Ground states for diffusion dominated free energies with logarithmic interaction. Zbl 1323.35095
Carrillo, José Antonio; Castorina, Daniele; Volzone, Bruno
2015
A hybrid variational principle for the Keller-Segel system in $$\mathbb{R}^{2}$$. Zbl 1334.35086
Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano
2015
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332
Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier
2015
Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D. Zbl 1316.35077
Bonaschi, Giovanni A.; Carrillo, José A.; Di Francesco, Marco; Peletier, Mark A.
2015
Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure. Zbl 1307.35311
Carrillo, J. A.; Huang, Y.; Santos, M. C.; Vázquez, J. L.
2015
Non-local kinetic and macroscopic models for self-organised animal aggregations. Zbl 1330.35465
Carrillo, José A.; Eftimie, Raluca; Hoffmann, Franca
2015
Some free boundary problems involving non-local diffusion and aggregation. Zbl 1353.35320
Carrillo, José Antonio; Vázquez, Juan Luis
2015
Stability analysis of flock and mill rings for second order models in swarming. Zbl 1305.37044
Albi, G.; Balagué, D.; Carrillo, J. A.; von Brecht, J.
2014
Contractivity of transport distances for the kinetic Kuramoto equation. Zbl 1303.82016
Carrillo, José A.; Choi, Young-Pil; Ha, Seung-Yeal; Kang, Moon-Jin; Kim, Yongduck
2014
Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049
Carrillo, J. A.; Huang, Y.; Martin, S.
2014
Uniqueness for Keller-Segel-type chemotaxis models. Zbl 1277.35009
Carrillo, José Antonio; Lisini, Stefano; Mainini, Edoardo
2014
...and 134 more Documents
all top 5

### Cited by 2,338 Authors

 169 Carrillo de la Plata, José Antonio 90 Ha, Seung-Yeal 53 Choi, Young-Pil 48 Toscani, Giuseppe 41 Dolbeault, Jean 38 Degond, Pierre 31 Perthame, Benoît 31 Vazquez, Juan Luis 26 Liu, Jianguo 24 Soler, Juan S. 23 Pareschi, Lorenzo 22 Martínez Gamba, Irene 22 Kim, Jeongho 22 Winkler, Michael 21 Jüngel, Ansgar 21 Matthes, Daniel 20 Shu, Chi-Wang 19 Jin, Shi 19 Vauchelet, Nicolas 19 Zhang, Xiongtao 18 Goudon, Thierry 17 Cañizo, José Alfredo 16 Cáceres, María-José 16 Calvez, Vincent 16 Di Francesco, Marco 15 Bellomo, Nicola 15 Fetecau, Razvan C. 15 Filbet, Francis 15 Liu, Hailiang 15 Tadmor, Eitan 14 Blanchet, Adrien 14 Fellner, Klemens 14 Ko, Dongnam 14 Mischler, Stéphane 14 Zanella, Mattia 13 Chen, Li 13 Haskovec, Jan 13 Jung, Jinwook 13 Kim, Doheon 13 McCann, Robert J. 13 Qiu, Jingmei 13 Shvydkoy, Roman V. 13 Tosin, Andrea 12 Bertozzi, Andrea Louise 12 Cheng, Yingda 12 Ferreira, Lucas Catão de Freitas 12 Fornasier, Massimo 12 Guillin, Arnaud 12 Kang, Moon-Jin 12 Klar, Axel 12 Park, Jinyeong 12 Tse, Oliver 11 Albi, Giacomo 11 Bolley, François 11 Burger, Martin 11 Carlen, Eric Anders 11 Granero Belinchón, Rafael 11 Gwiazda, Piotr 11 Huang, Yanghong 11 Laurençot, Philippe 11 Li, Wuchen 11 Peletier, Mark Adriaan 11 Piccoli, Benedetto 11 Savaré, Giuseppe 11 Schmidtchen, Markus 11 Tan, Changhui 11 Zatorska, Ewelina 10 Agueh, Martial 10 Arnold, Anton 10 Bisi, Marzia 10 Desvillettes, Laurent 10 Fagioli, Simone 10 Gentil, Ivan 10 Göttlich, Simone 10 Herty, Michael Matthias 10 Liu, Chun 10 Markowich, Peter Alexander 10 Patacchini, Francesco Saverio 10 Peszek, Jan 10 Totzeck, Claudia 10 Wang, Li 10 Wang, Zhian 10 Wolfram, Marie-Therese 10 Zheng, Jiashan 10 Zinsl, Jonathan 9 Bonforte, Matteo 9 Bostan, Mihai 9 Cancès, Clément 9 Carlier, Guillaume 9 Colombi, Annachiara 9 Dong, Jiu-Gang 9 Esteban, Maria J. 9 Kim, Dohyun 9 Loss, Michael 9 Motsch, Sébastien 9 Mouhot, Clément 9 Romano, Vittorio 9 Rossi, Francesco 9 Saintier, Nicolas 9 Schmeiser, Christian ...and 2,238 more Authors
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### Cited in 291 Serials

 150 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 127 Journal of Differential Equations 102 Journal of Computational Physics 80 SIAM Journal on Mathematical Analysis 78 Journal of Statistical Physics 72 Kinetic and Related Models 68 Archive for Rational Mechanics and Analysis 65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 62 Journal of Mathematical Analysis and Applications 55 Discrete and Continuous Dynamical Systems 40 Journal of Functional Analysis 39 Calculus of Variations and Partial Differential Equations 35 Journal of Scientific Computing 35 Communications in Partial Differential Equations 33 Journal of Mathematical Physics 33 Discrete and Continuous Dynamical Systems. Series B 29 Journal of Mathematical Biology 28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 27 Communications in Mathematical Physics 27 SIAM Journal on Numerical Analysis 27 Applied Mathematics Letters 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 Acta Applicandae Mathematicae 25 Physica D 25 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Multiscale Modeling & Simulation 22 Networks and Heterogeneous Media 21 Nonlinearity 20 SIAM Journal on Applied Mathematics 19 Quarterly of Applied Mathematics 19 Nonlinear Analysis. Real World Applications 19 SIAM Journal on Applied Dynamical Systems 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Computers & Mathematics with Applications 18 Journal of Nonlinear Science 18 SIAM Journal on Scientific Computing 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Numerische Mathematik 14 Advances in Mathematics 14 Proceedings of the American Mathematical Society 14 Transactions of the American Mathematical Society 13 Applicable Analysis 13 Stochastic Processes and their Applications 13 Communications on Pure and Applied Analysis 12 Applied Mathematics and Computation 12 Mathematical Biosciences and Engineering 11 Mathematical Methods in the Applied Sciences 11 Transport Theory and Statistical Physics 11 The Annals of Applied Probability 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Journal of Mathematical Fluid Mechanics 11 Journal of Evolution Equations 10 Bulletin of Mathematical Biology 10 Chinese Annals of Mathematics. Series B 10 European Journal of Applied Mathematics 10 Electronic Journal of Probability 10 Discrete and Continuous Dynamical Systems. Series S 9 Mathematical and Computer Modelling 9 Journal of Theoretical Biology 8 Computer Methods in Applied Mechanics and Engineering 8 Mathematics of Computation 8 Probability Theory and Related Fields 8 Revista Matemática Iberoamericana 8 Journal of Dynamics and Differential Equations 8 Communications in Computational Physics 7 Computers and Fluids 7 Journal of Fluid Mechanics 7 Monatshefte für Mathematik 7 SIAM Journal on Control and Optimization 7 Applied Mathematical Modelling 7 NoDEA. Nonlinear Differential Equations and Applications 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Analysis and Applications (Singapore) 7 Séminaire Laurent Schwartz. EDP et Applications 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 6 Physica A 6 Inventiones Mathematicae 6 Memoirs of the American Mathematical Society 6 Applied Numerical Mathematics 6 Journal of Mathematical Sciences (New York) 6 Communications in Contemporary Mathematics 6 Analysis & PDE 6 Science China. Mathematics 5 The Annals of Probability 5 Applied Mathematics and Optimization 5 Manuscripta Mathematica 5 Mathematics and Computers in Simulation 5 Pacific Journal of Mathematics 5 Annals of Global Analysis and Geometry 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Communications in Nonlinear Science and Numerical Simulation 5 Advanced Nonlinear Studies 5 Journal of Statistical Mechanics: Theory and Experiment 5 Mathematical Modelling of Natural Phenomena 4 Journal of the Franklin Institute 4 Automatica 4 Duke Mathematical Journal 4 Indiana University Mathematics Journal 4 Journal of Computational and Applied Mathematics 4 Journal für die Reine und Angewandte Mathematik ...and 191 more Serials
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### Cited in 48 Fields

 1,684 Partial differential equations (35-XX) 648 Biology and other natural sciences (92-XX) 598 Statistical mechanics, structure of matter (82-XX) 526 Fluid mechanics (76-XX) 405 Numerical analysis (65-XX) 253 Probability theory and stochastic processes (60-XX) 157 Calculus of variations and optimal control; optimization (49-XX) 122 Ordinary differential equations (34-XX) 87 Systems theory; control (93-XX) 86 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 80 Dynamical systems and ergodic theory (37-XX) 74 Integral equations (45-XX) 71 Operator theory (47-XX) 65 Operations research, mathematical programming (90-XX) 57 Real functions (26-XX) 56 Global analysis, analysis on manifolds (58-XX) 56 Mechanics of particles and systems (70-XX) 53 Functional analysis (46-XX) 51 Mechanics of deformable solids (74-XX) 47 Differential geometry (53-XX) 31 Optics, electromagnetic theory (78-XX) 28 Computer science (68-XX) 27 Statistics (62-XX) 26 Measure and integration (28-XX) 22 Information and communication theory, circuits (94-XX) 21 Quantum theory (81-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 Classical thermodynamics, heat transfer (80-XX) 13 Geophysics (86-XX) 12 Approximations and expansions (41-XX) 11 Potential theory (31-XX) 10 Difference and functional equations (39-XX) 9 General and overarching topics; collections (00-XX) 9 Combinatorics (05-XX) 9 Astronomy and astrophysics (85-XX) 8 Special functions (33-XX) 8 Relativity and gravitational theory (83-XX) 7 General topology (54-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Convex and discrete geometry (52-XX) 4 Integral transforms, operational calculus (44-XX) 3 Functions of a complex variable (30-XX) 2 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX)

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