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Kinetic and Related Models

Short Title: Kinet. Relat. Models
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 1937-5093; 1937-5077/e
Online: https://www.aimsciences.org/krm
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 657 Publications (since 2008)
References Indexed: 398 Publications with 12,058 References.
all top 5

Authors

14 Ha, Seung-Yeal
13 Carrillo de la Plata, José Antonio
12 Herty, Michael Matthias
10 Degond, Pierre
9 Bobylev, Alexandre Vasiljévitch
9 Jin, Shi
9 Schmeiser, Christian
9 Toscani, Giuseppe
9 Xu, Chao-Jiang
9 Yang, Tong
8 Bisi, Marzia
8 Guo, Yan
8 Morimoto, Yoshinori
8 Nouri, Anne
7 Alexandre, Radjesvarane
7 Aoki, Kazuo
7 Brull, Stephane
7 Esposito, Raffaele
7 Tan, Zhong
6 Arkeryd, Leif O.
6 Burger, Martin
6 Choi, Young-Pil
6 Fan, Jishan
6 Golse, François
6 Pankavich, Stephen
6 Spiga, Giampiero
6 Zhao, Huijiang
5 Ben Abdallah, Naoufel
5 Crouseilles, Nicolas
5 Desvillettes, Laurent
5 Groppi, Maria
5 Haskovec, Jan
5 Illner, Reinhard
5 Jüngel, Ansgar
5 Kawashima, Shuichi
5 Kim, Jeongho
5 Komorowski, Tomasz
5 Lemou, Mohammed
5 Liu, Jianguo
5 Marra, Rossana
5 Nakamura, Tohru
5 Strauss, Walter Alexander
5 Tosin, Andrea
5 Ukai, Seiji
5 Wagner, Wolfgang
4 Arnold, Anton
4 Bernhoff, Niclas
4 Caprino, Silvia
4 Cho, Yong-Kum
4 Dolbeault, Jean
4 Duan, Renjun
4 Frank, Martin
4 Martínez Gamba, Irene
4 Goudon, Thierry
4 He, Lingbing
4 Klar, Axel
4 Li, Fucai
4 Marchioro, Carlo
4 Markowich, Peter Alexander
4 Méhats, Florian
4 Negulescu, Claudia
4 Nguyen, Toan Trong
4 Perthame, Benoît
4 Pulvirenti, Mario
4 Salvarani, Francesco
4 Schaeffer, Jack W.
4 Schneider, Florian H.
4 Strain, Robert M.
4 Wolfram, Marie-Therese
4 Yun, Seok-Bae
4 Zhang, Xiongtao
4 Zhong, Mingying
4 Zlotnik, Alexander A.
4 Zumbrun, Kevin R.
3 Armbruster, Dieter
3 Bal, Guillaume
3 Banasiak, Jacek
3 Bao, Weizhu
3 Bardos, Claude Williams
3 Barletti, Luigi
3 Bellomo, Nicola
3 Calvez, Vincent
3 Carlen, Eric Anders
3 Chen, Hua
3 Chertock, Alina E.
3 Fournier, Nicolas
3 Giovangigli, Vincent
3 Giri, Ankik Kumar
3 Göttlich, Simone
3 Guo, Boling
3 Hittmeir, Sabine
3 Hu, Jingwei
3 Kumar, Jitendra
3 Li, Hailiang
3 Liu, Shuangqian
3 Liu, Yongqin
3 Lods, Bertrand
3 Mouhot, Clément
3 Nguyen, Truyen Van
3 Niethammer, Barbara
...and 799 more Authors
all top 5

Fields

510 Partial differential equations (35-XX)
306 Statistical mechanics, structure of matter (82-XX)
231 Fluid mechanics (76-XX)
100 Numerical analysis (65-XX)
79 Biology and other natural sciences (92-XX)
49 Probability theory and stochastic processes (60-XX)
28 Ordinary differential equations (34-XX)
27 Integral equations (45-XX)
27 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
26 Operator theory (47-XX)
23 Quantum theory (81-XX)
21 Mechanics of particles and systems (70-XX)
19 Dynamical systems and ergodic theory (37-XX)
18 Classical thermodynamics, heat transfer (80-XX)
17 Operations research, mathematical programming (90-XX)
15 Mechanics of deformable solids (74-XX)
14 Optics, electromagnetic theory (78-XX)
12 Relativity and gravitational theory (83-XX)
10 Astronomy and astrophysics (85-XX)
9 Real functions (26-XX)
9 Approximations and expansions (41-XX)
9 Functional analysis (46-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
5 Measure and integration (28-XX)
5 Differential geometry (53-XX)
4 History and biography (01-XX)
4 Difference and functional equations (39-XX)
4 Computer science (68-XX)
3 General and overarching topics; collections (00-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Systems theory; control (93-XX)
3 Information and communication theory, circuits (94-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

Publications by Year

Citations contained in zbMATH Open

522 Publications have been cited 5,171 times in 3,680 Documents Cited by Year
From particle to kinetic and hydrodynamic descriptions of flocking. Zbl 1402.76108
Ha, Seung-Yeal; Tadmor, Eitan
298
2008
Mathematical theory and numerical methods for Bose-Einstein condensation. Zbl 1266.82009
Bao, Weizhu; Cai, Yongyong
237
2013
Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076
Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
150
2011
Double milling in self-propelled swarms from kinetic theory. Zbl 1195.92069
Carrillo, José A.; D’Orsogna, M. R.; Panferov, V.
114
2009
On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033
Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping
75
2012
A review of the mean field limits for Vlasov equations. Zbl 1318.35129
Jabin, Pierre-Emmanuel
65
2014
Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system. Zbl 1215.35127
Carrillo, José A.; Duan, Renjun; Moussa, Ayman
62
2011
Cucker-Smale model with normalized communication weights and time delay. Zbl 1357.34024
Choi, Young-Pil; Haskovec, Jan
61
2017
The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440
Jiu, Quansen; Xin, Zhouping
50
2008
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
47
2013
Uniform stability of the Cucker-Smale model and its application to the mean-field limit. Zbl 1409.34046
Ha, Seung-Yeal; Kim, Jeongho; Zhang, Xiongtao
46
2018
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
45
2019
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
42
2008
Optimal time decay of the non cut-off Boltzmann equation in the whole space. Zbl 1383.76414
Strain, Robert M.
40
2012
Fluid dynamic limit to the Riemann solutions of Euler equations. I: Superposition of rarefaction waves and contact discontinuity. Zbl 1209.35098
Huang, Feimin; Wang, Yi; Yang, Tong
40
2010
Entropy and chaos in the Kac model. Zbl 1186.76675
Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric
40
2010
Regularity criteria for the 3D MHD equations via partial derivatives. II. Zbl 1304.35549
Jia, Xuanji; Zhou, Yong
39
2014
An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations: diffusion and high-field scaling limits. Zbl 1222.82077
Crouseilles, Nicolas; Lemou, Mohammed
39
2011
Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force. Zbl 1292.35295
Duan, Renjun; Liu, Shuangqian
37
2013
Regularity criteria for the 3D MHD equations via partial derivatives. Zbl 1254.35192
Jia, Xuanji; Zhou, Yong
34
2012
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357
Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo
32
2008
Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476
Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang
30
2013
Kinetic limits for waves in a random medium. Zbl 1221.60095
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
30
2010
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system. Zbl 1252.65157
Ayuso, Blanca; Carrillo, José A.; Shu, Chi-Wang
29
2011
Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics. Zbl 1372.76090
Russo, Giovanni; Filbet, Francis
29
2009
A review of Boltzmann equation with singular kernels. Zbl 1193.35121
Alexandre, Radjesvarane
29
2009
Global existence and steady states of a two competing species Keller-Segel chemotaxis model. Zbl 1320.92035
Wang, Qi; Zhang, Lu; Yang, Jingyue; Hu, Jia
28
2015
Diffusion asymptotics of a kinetic model for gaseous mixtures. Zbl 1260.35100
Boudin, Laurent; Grec, Bérénice; Pavić, Milana; Salvarani, Francesco
27
2013
Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates. Zbl 1270.35095
Balagué, Daniel; Cañizo, José A.; Gabriel, Pierre
27
2013
Decay property for a plate equation with memory-type dissipation. Zbl 1225.35150
Liu, Yongqin; Kawashima, Shuichi
27
2011
Local Hilbert expansion for the Boltzmann equation. Zbl 1372.76089
Guo, Yan; Jang, Juhi; Jiang, Ning
27
2009
Vision-based macroscopic pedestrian models. Zbl 1426.76051
Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy
26
2013
Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
26
2017
Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles. Zbl 1317.65212
Crestetto, Anaïs; Crouseilles, Nicolas; Lemou, Mohammed
26
2012
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
26
2010
Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. Zbl 1357.35244
Fan, Jishan; Huang, Shuxiang; Li, Fucai
25
2017
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François
25
2011
Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model. Zbl 1189.35250
Fan, Jishan; Ozawa, Tohru
25
2009
A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods. Zbl 1304.35475
Koellermeier, Julian; Schaerer, Roman Pascal; Torrilhon, Manuel
24
2014
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
24
2013
A consistent kinetic model for a two-component mixture with an application to plasma. Zbl 1352.82009
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
24
2017
Orientation waves in a director field with rotational inertia. Zbl 1180.35010
Alì, Giuseppe; Hunter, John K.
24
2009
A kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles. Zbl 1434.35248
Kim, Daewa; Quaini, Annalisa
24
2019
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
24
2010
Some a priori estimates for the homogeneous Landau equation with soft potentials. Zbl 1320.35104
Alexandre, Radjesvarane; Liao, Jie; Lin, Chunjin
23
2015
Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics. Zbl 1227.35073
Suzuki, Masahiro
23
2011
Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos. Zbl 1358.65073
Huang, Hui; Liu, Jian-Guo
22
2016
Coordinates in the relativistic Boltzmann theory. Zbl 1429.76094
Strain, Robert M.
22
2011
A logistic equation with nonlocal interactions. Zbl 1356.35261
Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico
21
2017
Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach. Zbl 1242.76304
Ben Abdallah, Naoufel; Mellet, Antoine; Puel, Marjolaine
21
2011
Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations. Zbl 1282.35296
Fan, Jishan; Fukumoto, Yasuhide; Zhou, Yong
21
2013
On hyperbolicity of 13-moment system. Zbl 1304.82063
Cai, Zhenning; Fan, Yuwei; Li, Ruo
20
2014
Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension. Zbl 1284.35257
Kato, Masakazu; Wang, Yu-Zhu; Kawashima, Shuichi
20
2013
Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac’s equation. Zbl 1194.35089
Lekrine, Nadia; Xu, Chao-Jiang
20
2009
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
19
2013
Time asymptotics for a critical case in fragmentation and growth-fragmentation equations. Zbl 1332.35365
Doumic, Marie; Escobedo, Miguel
19
2016
Explicit equilibrium solutions for the aggregation equation with power-law potentials. Zbl 1354.45001
Carrillo, José A.; Huang, Yanghong
19
2017
On interfaces between cell populations with different mobilities. Zbl 1359.35204
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît
19
2017
Numerical study of a particle method for gradient flows. Zbl 1354.65180
Carrillo, José Antonio; Huang, Yanghong; Patacchini, Francesco Saverio; Wolansky, Gershon
19
2017
A general consistent BGK model for gas mixtures. Zbl 1405.76042
Bobylev, Alexander V.; Bisi, Marzia; Groppi, Maria; Spiga, Giampiero; Potapenko, Irina F.
19
2018
Large-time decay of the soft potential relativistic Boltzmann equation in \(\mathbb{R}^3_x\). Zbl 1247.76071
Strain, Robert M.; Zhu, Keya
19
2012
Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148
Jüngel, Ansgar; Milišić, Josipa-Pina
19
2011
Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators. Zbl 1282.35270
Lerner, Nicolas; Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang
19
2013
On the plasma-charge model. Zbl 1193.82045
Caprino, Silvia; Marchioro, Carlo
19
2010
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
18
2011
Spectral decompositions and \(\mathbb{L}^2\)-operator norms of toy hypocoercive semi-groups. Zbl 1262.35134
Gadat, Sébastien; Miclo, Laurent
18
2013
Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type. Zbl 1208.92096
Agueh, Martial; Illner, Reinhard; Richardson, Ashlin
18
2011
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
18
2009
Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime. Zbl 1462.34100
Haskovec, Jan; Markou, Ioannis
18
2020
Time decay of solutions to the compressible Euler equations with damping. Zbl 1318.35072
Chen, Qing; Tan, Zhong
17
2014
Confinement by biased velocity jumps: aggregation of Escherichia coli. Zbl 1337.35155
Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian
17
2015
Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction. Zbl 1330.35339
Pu, Xueke; Guo, Boling
17
2016
A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation. Zbl 1284.35102
Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang
17
2013
A remark on Cannone-Karch solutions to the homogeneous Boltzmann equation for Maxwellian molecules. Zbl 1255.35177
Morimoto, Yoshinori
17
2012
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts. Zbl 1420.35431
Bernard, Étienne; Doumic, Marie; Gabriel, Pierre
17
2019
Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064
Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric
17
2011
Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics. Zbl 1376.80002
Bisi, Marzia; Ruggeri, Tommaso; Spiga, Giampiero
17
2018
A kinetic theory description of liquid menisci at the microscale. Zbl 1362.82044
Barbante, Paolo; Frezzotti, Aldo; Gibelli, Livio
16
2015
Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1361.35075
Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno
16
2017
A degenerate \(p\)-Laplacian Keller-Segel model. Zbl 1364.35162
Cong, Wenting; Liu, Jian-Guo
16
2016
The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks. Zbl 1366.35083
Fellner, Klemens; Prager, Wolfang; Tang, Bao Q.
16
2017
Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356
Degond, Pierre; Delitala, Marcello
16
2008
Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior. Zbl 1250.35166
Schaeffer, Jack
16
2012
Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Zbl 1195.82087
Philippe, Ghendrih; Maxime, Hauray; Nouri, Anne
16
2009
Non-existence and non-uniqueness for multidimensional sticky particle systems. Zbl 1311.35192
Bressan, Alberto; Nguyen, Truyen
15
2014
A realizability-preserving high-order kinetic scheme using WENO reconstruction for entropy-based moment closures of linear kinetic equations in slab geometry. Zbl 1326.65115
Schneider, Florian; Kall, Jochen; Alldredge, Graham
15
2016
The Cauchy problem for the Vlasov-Dirac-Benney equation and related issues in fluid mechanics and semi-classical limits. Zbl 1292.35293
Bardos, Claude; Besse, Nicolas
15
2013
Approximating the \(M_2\) method by the extended quadrature method of moments for radiative transfer in slab geometry. Zbl 1333.78018
Alldredge, Graham W.; Li, Ruo; Li, Weiming
15
2016
Propagation of Gevrey regularity for solutions of Landau equations. Zbl 1157.35328
Chen, Hua; Li, Wei-Xi; Xu, Chao-Jiang
15
2008
Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Zbl 1255.82065
Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella
15
2012
Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006
Frank, Martin; Hauck, Cory D.; Olbrant, Edgar
15
2013
On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow. Zbl 1420.35240
Hillairet, Matthieu; Moussa, Ayman; Sueur, Franck
15
2019
Kinetic methods for inverse problems. Zbl 1420.35417
Herty, Michael; Visconti, Giuseppe
15
2019
Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Zbl 1328.35144
Escobedo, Miguel; Tran, Minh-Binh
14
2015
Global nonlinear stability of rarefaction waves for compressible Navier-Stokes equations with temperature and density dependent transport coefficients. Zbl 1360.35130
Huang, Bingkang; Wang, Lusheng; Xiao, Qinghua
14
2016
Entropy production for ellipsoidal BGK model of the Boltzmann equation. Zbl 1358.35083
Yun, Seok-Bae
14
2016
Global solution to the 3-D inhomogeneous incompressible MHD system with discontinuous density. Zbl 1410.35110
Chen, Fei; Guo, Boling; Zhai, Xiaoping
14
2019
On a relativistic Fokker-Planck equation in kinetic theory. Zbl 1219.35312
Alcántara, José Antonio; Calogero, Simone
14
2011
The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292
Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre
14
2009
Sedimentation of particles in Stokes flow. Zbl 1420.35254
Mecherbet, Amina
14
2019
Decay estimates for the \(3D\) relativistic and non-relativistic Vlasov-Poisson systems. Zbl 1515.35276
Wang, Xuecheng
5
2023
Linearized Boltzmann collision operator. II: Polyatomic molecules modeled by a continuous internal energy variable. Zbl 1519.82103
Bernhoff, Niclas
2
2023
Derivation of wealth distributions from biased exchange of money. Zbl 1519.91189
Cao, Fei; Motsch, Sebastien
2
2023
Nonlocal cross-interaction systems on graphs: energy landscape and dynamics. Zbl 1522.35533
Heinze, Georg; Pietschmann, Jan-Frederik; Schmidtchen, Markus
1
2023
The stochastic delayed Cucker-Smale system in a harmonic potential field. Zbl 1514.34082
Du, Linglong; Zhou, Xinyun
1
2023
Global existence of strong solutions to the kinetic Cucker-Smale model coupled with the two dimensional incompressible Navier-Stokes equations. Zbl 07705736
Jin, Chunyin
1
2023
Sufficient conditions for asymptotic phase-locking to the generalized Kuramoto model. Zbl 1514.34088
Min, Chanho; Ahn, Hyunjin; Ha, Seung-Yeal; Kang, Myeongju
1
2023
A simple proof of non-explosion for measure solutions of the Keller-Segel equation. Zbl 1518.35215
Fournier, Nicolas; Tardy, Yoan
1
2023
About Lanford’s theorem in the half-space with specular reflection. Zbl 1514.35305
Dolmaire, Théophile
1
2023
Structured derivation of moment equations and stable boundary conditions with an introduction to symmetric, trace-free tensors. Zbl 1517.76057
Bünger, Jonas; Christhuraj, Edilbert; Hanke, Andrea; Torrilhon, Manuel
1
2023
Macroscopic limits of non-local kinetic descriptions of vehicular traffic. Zbl 1514.35303
Chiarello, Felisia Angela; Tosin, Andrea
1
2023
Energy-Casimir method for the dynamical systems with modified gravitational potential. Zbl 1514.35433
Salnikova, Tatiana
1
2023
Analysis of kinetic models for label switching and stochastic gradient descent. Zbl 1524.35499
Burger, Martin; Rossi, Alex
1
2023
Propagation of chaos: a review of models, methods and applications. I: Models and methods. Zbl 1496.82016
Chaintron, Louis-Pierre; Diez, Antoine
6
2022
Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus. Zbl 1491.35411
Jang, Jin Woo; Strain, Robert M.; Wong, Tak Kwong
2
2022
A neural network closure for the Euler-Poisson system based on kinetic simulations. Zbl 1483.35158
Bois, Léo; Franck, Emmanuel; Navoret, Laurent; Vigon, Vincent
2
2022
Propagation of chaos: a review of models, methods and applications. II: Applications. Zbl 1496.82017
Chaintron, Louis-Pierre; Diez, Antoine
2
2022
The inviscid limit for the 2D Navier-Stokes equations in bounded domains. Zbl 1497.35339
Bardos, Claude W.; Nguyen, Trinh T.; Nguyen, Toan T.; Titi, Edriss S.
2
2022
Kinetic Fokker-Planck and Landau equations with specular reflection boundary condition. Zbl 1498.35542
Dong, Hongjie; Guo, Yan; Yastrzhembskiy, Timur
2
2022
Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D. Zbl 1491.35410
Jonov, Boyan; Kessenich, Paul; Sideris, Thomas C.
1
2022
The Einstein-Vlasov system in maximal areal coordinates-local existence and continuation. Zbl 1491.35416
Günther, Sebastian; Rein, Gerhard
1
2022
Global hypocoercivity of kinetic Fokker-Planck-alignment equations. Zbl 1486.35386
Shvydkoy, Roman
1
2022
Diffusion limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system. Zbl 1486.76117
Zhong, Mingying
1
2022
Sharp decay estimates for the Vlasov-Poisson and Vlasov-Yukawa systems with small data. Zbl 1483.35268
Duan, Xianglong
1
2022
Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit. Zbl 1496.82020
Favre, Gianluca; Pirner, Marlies; Schmeiser, Christian
1
2022
Large friction-high force fields limit for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 1497.35453
Carrillo, José A.; Choi, Young-Pil; Peng, Yingping
1
2022
Glassey-Strauss representation of Vlasov-Maxwell systems in a half space. Zbl 1498.35526
Cao, Yunbai; Kim, Chanwoo
1
2022
Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds. Zbl 1476.35190
Ahn, Hyunjin; Ha, Seung-Yeal; Shim, Woojoo
11
2021
Diffusion limit of the Vlasov-Poisson-Boltzmann system. Zbl 1479.76121
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
5
2021
Global strong solutions in \(\mathbb{R}^3\) for ionic Vlasov-Poisson systems. Zbl 1476.35274
Griffin-Pickering, Megan; Iacobelli, Mikaela
4
2021
Boltzmann-type equations for multi-agent systems with label switching. Zbl 1476.35164
Loy, Nadia; Tosin, Andrea
4
2021
Relativistic BGK model for massless particles in the FLRW spacetime. Zbl 1484.76096
Hwang, Byung-Hoon; Lee, Ho; Yun, Seok-Bae
4
2021
BGK model of the multi-species Uehling-Uhlenbeck equation. Zbl 1471.82016
Bae, Gi-Chan; Klingenberg, Christian; Pirner, Marlies; Yun, Seok-Bae
4
2021
Opinion formation systems via deterministic particles approximation. Zbl 1489.35285
Fagioli, Simone; Radici, Emanuela
4
2021
Superposition principle and schemes for measure differential equations. Zbl 1475.35379
Camilli, Fabio; Cavagnari, Giulia; Maio, Raul De; Piccoli, Benedetto
4
2021
A general way to confined stationary Vlasov-Poisson plasma configurations. Zbl 1476.35273
Belyaeva, Yulia O.; Gebhard, Björn; Skubachevskii, Alexander L.
3
2021
Incompressible Navier-Stokes-Fourier limit from the Landau equation. Zbl 1476.35165
Rachid, Mohamad
3
2021
Projective integration schemes for hyperbolic moment equations. Zbl 1479.76070
Koellermeier, Julian; Samaey, Giovanni
2
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A mean-field limit of the particle swarmalator model. Zbl 1483.92165
Ha, Seung-Yeal; Jung, Jinwook; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao
2
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A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving. Zbl 1476.65205
Emako, Casimir; Kanbar, Farah; Klingenberg, Christian; Tang, Min
2
2021
BGK models for inert mixtures: comparison and applications. Zbl 1490.76185
Boscarino, Sebastiano; Cho, Seung Yeon; Groppi, Maria; Russo, Giovanni
2
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The delayed Cucker-Smale model with short range communication weights. Zbl 1497.34106
Chen, Zili; Yin, Xiuxia
2
2021
Collisional sheath solutions of a bi-species Vlasov-Poisson-Boltzmann boundary value problem. Zbl 1471.35272
Badsi, Mehdi
2
2021
Navier-Stokes limit of globally hyperbolic moment equations. Zbl 1471.35238
Ma, Zhiting
2
2021
Mathematical modelling of charge transport in graphene heterojunctions. Zbl 1476.82009
Barletti, Luigi; Nastasi, Giovanni; Negulescu, Claudia; Romano, Vittorio
1
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On group symmetries of the hydrodynamic equations for rarefied gas. Zbl 1476.35194
Bobylev, Alexander V.; Meleshko, Sergey V.
1
2021
Polytropic gas modelling at kinetic and macroscopic levels. Zbl 1479.76089
Djordjić, Vladimir; Pavić-Čolić, Milana; Spasojević, Nikola
1
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A model of cultural evolution in the context of strategic conflict. Zbl 1492.91239
Perepelitsa, Misha
1
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Density dependent diffusion models for the interaction of particle ensembles with boundaries. Zbl 1502.35181
Weissen, Jennifer; Göttlich, Simone; Armbruster, Dieter
1
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Lower bound for the Boltzmann equation whose regularity grows tempered with time. Zbl 1476.35163
He, Ling-Bing; Ji, Jie; Shao, Ling-Xuan
1
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A spectral study of the linearized Boltzmann operator in \(L^2\)-spaces with polynomial and Gaussian weights. Zbl 1477.35112
Gervais, Pierre
1
2021
Heterogeneous discrete kinetic model and its diffusion limit. Zbl 1476.35278
Kim, Ho-Youn; Kim, Yong-Jung; Lim, Hyun-Jin
1
2021
Towards a further understanding of the dynamics in the excitatory NNLIF neuron model: blow-up and global existence. Zbl 1505.35338
Roux, Pierre; Salort, Delphine
1
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The fragmentation equation with size diffusion: small and large size behavior of stationary solutions. Zbl 1484.45007
Laurençot, Philippe; Walker, Christoph
1
2021
Kinetic modelling of colonies of myxobacteria. Zbl 1471.92061
Hittmeir, Sabine; Kanzler, Laura; Manhart, Angelika; Schmeiser, Christian
1
2021
Evolutionary game theory in mixed strategies: from microscopic interactions to kinetic equations. Zbl 1471.91038
Pinasco, Juan Pablo; Cartabia, Mauro Rodriguez; Saintier, Nicolas
1
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Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime. Zbl 1462.34100
Haskovec, Jan; Markou, Ioannis
18
2020
The BGK approximation of kinetic models for traffic. Zbl 1437.90042
Herty, Michael; Puppo, Gabriella; Roncoroni, Sebastiano; Visconti, Giuseppe
14
2020
A semigroup approach to the convergence rate of a collisionless gas. Zbl 1464.35277
Bernou, Armand
11
2020
Local well-posedness of the Boltzmann equation with polynomially decaying initial data. Zbl 1442.35288
Henderson, Christopher; Snelson, Stanley; Tarfulea, Andrei
11
2020
Hypocoercivity of linear kinetic equations via Harris’s theorem. Zbl 1434.35032
Cañizo, José A.; Cao, Chuqi; Evans, Josephine; Yoldaş, Havva
9
2020
Cercignani-Lampis boundary in the Boltzmann theory. Zbl 1447.76029
Chen, Hongxu
8
2020
Global existence theorem for a model governing the motion of two cell populations. Zbl 1458.35084
Price, Brock C.; Xu, Xiangsheng
7
2020
Diffusion and kinetic transport with very weak confinement. Zbl 1434.35237
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
6
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A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators. Zbl 1447.58032
Patie, Pierre; Vaidyanathan, Aditya
5
2020
On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non-isothermal setting. Zbl 1434.82067
Anwasia, B.; Bisi, M.; Salvarani, F.; Soares, A. J.
4
2020
Confined steady states of the relativistic Vlasov-Maxwell system in an infinitely long cylinder. Zbl 1453.35164
Weber, Jörg
3
2020
Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria. Zbl 1458.35413
Nguyen, Trinh T.
3
2020
An anisotropic interaction model with collision avoidance. Zbl 1458.93018
Totzeck, Claudia
3
2020
Stochastic Cucker-Smale flocking dynamics of jump-type. Zbl 1437.35661
Friesen, Martin; Kutoviy, Oleksandr
3
2020
On Fokker-Planck equations with in- and outflow of mass. Zbl 1437.35666
Burger, Martin; Humpert, Ina; Pietschmann, Jan-Frederik
3
2020
The Neumann numerical boundary condition for transport equations. Zbl 1437.65093
Coulombel, Jean-François; Lagoutière, Frédéric
3
2020
A kinetic approach of the bi-temperature Euler model. Zbl 1434.82033
Brull, Stéphane; Dubroca, Bruno; Prigent, Corentin
3
2020
Global analytic solutions of the semiconductor Boltzmann-Dirac-Benney equation with relaxation time approximation. Zbl 1434.35031
Braukhoff, Marcel
3
2020
On the transport operators arising from linearizing the Vlasov-Poisson or Einstein-Vlasov system about isotropic steady states. Zbl 1446.85001
Rein, Gerhard; Straub, Christopher
3
2020
Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules. Zbl 1451.35154
Morimoto, Yoshinori; Xu, Chao-Jiang
3
2020
Stability of a non-local kinetic model for cell migration with density dependent orientation bias. Zbl 1448.35355
Loy, Nadia; Preziosi, Luigi
3
2020
A moment closure based on a projection on the boundary of the realizability domain: 1D case. Zbl 1458.35350
Pichard, Teddy
2
2020
Trend to the equilibrium for the Fokker-Planck system with an external magnetic field. Zbl 1473.35572
Karaki, Zeinab
2
2020
Kinetic models of conservative economies with need-based transfers as welfare. Zbl 1434.35247
Kayser, Kirk; Armbruster, Dieter; Herty, Michael
2
2020
Kinetic formulation of a \(2 \times 2\) hyperbolic system arising in gas chromatography. Zbl 1451.35088
Bourdarias, Christian; Gisclon, Marguerite; Junca, Stéphane
2
2020
A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions. Zbl 1446.65128
Hu, Jingwei; Shen, Jie; Wang, Yingwei
2
2020
Strong solutions for the Alber equation and stability of unidirectional wave spectra. Zbl 1441.35191
Athanassoulis, Agissilaos G.; Athanassoulis, Gerassimos A.; Ptashnyk, Mariya; Sapsis, Themistoklis
2
2020
On the entropic property of the ellipsoidal statistical model with the Prandtl number below 2/3. Zbl 1453.76197
Takata, Shigeru; Hattori, Masanari; Miyauchi, Takumu
1
2020
Asymptotic behavior of a second-order swarm sphere model and its kinetic limit. Zbl 1469.34053
Kim, Dohyun
1
2020
Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium. Zbl 1434.35229
Bernier, Joackim; Mehrenberger, Michel
1
2020
On the generic complete synchronization of the discrete Kuramoto model. Zbl 1451.92037
Shim, Woojoo
1
2020
Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off. Zbl 1451.35101
Li, Wei-Xi; Liu, Lvqiao
1
2020
High order approximation for the Boltzmann equation without angular cutoff under moderately soft potentials. Zbl 1442.35291
Yao, Zheng-an; Zhou, Yu-Long
1
2020
Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons. Zbl 1441.35235
Carrillo, José A.; Hopf, Katharina; Wolfram, Marie-Therese
1
2020
Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions. Zbl 1441.35230
Bostan, Mihaï
1
2020
The Vlasov-Maxwell-Boltzmann system near Maxwellians with strong background magnetic field. Zbl 1442.35290
Lei, Yuanjie; Zhao, Huijiang
1
2020
Solvability and blow-up criterion of the thermomechanical Cucker-Smale-Navier-Stokes equations in the whole domain. Zbl 1450.76006
Kim, Jeongho; Zou, Weiyuan
1
2020
On the Cucker-Smale ensemble with \(q\)-closest neighbors under time-delayed communications. Zbl 1459.34174
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
1
2020
Slow flocking dynamics of the Cucker-Smale ensemble with a chemotactic movement in a temperature field. Zbl 1441.35243
Ha, Seung-Yeal; Kim, Doheon; Zou, Weiyuan
1
2020
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
45
2019
A kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles. Zbl 1434.35248
Kim, Daewa; Quaini, Annalisa
24
2019
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts. Zbl 1420.35431
Bernard, Étienne; Doumic, Marie; Gabriel, Pierre
17
2019
On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow. Zbl 1420.35240
Hillairet, Matthieu; Moussa, Ayman; Sueur, Franck
15
2019
Kinetic methods for inverse problems. Zbl 1420.35417
Herty, Michael; Visconti, Giuseppe
15
2019
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Cited by 3,490 Authors

108 Ha, Seung-Yeal
66 Carrillo de la Plata, José Antonio
48 Choi, Young-Pil
36 Bellomo, Nicola
35 Yun, Seok-Bae
34 Degond, Pierre
30 Yang, Tong
27 Jin, Shi
26 Herty, Michael Matthias
26 Kim, Jeongho
26 Klar, Axel
26 Zhao, Huijiang
25 Toscani, Giuseppe
24 Liu, Jianguo
23 Duan, Renjun
23 Fan, Jishan
23 Morimoto, Yoshinori
22 Bao, Weizhu
22 Pareschi, Lorenzo
22 Zhou, Yong
21 Gala, Sadek
20 Dimarco, Giacomo
20 Jüngel, Ansgar
20 Kang, Moon-Jin
20 Wang, Yi
20 Zhang, Xiongtao
19 Antoine, Xavier
19 Perthame, Benoît
19 Yamazaki, Kazuo
19 Zanella, Mattia
19 Zhang, Xianwen
18 Filbet, Francis
18 Tosin, Andrea
17 Bisi, Marzia
17 Brull, Stephane
17 Desvillettes, Laurent
17 Jung, Jinwook
17 Kim, Doheon
17 Liu, Shuangqian
17 Ragusa, Maria Alessandra
17 Tadmor, Eitan
17 Tan, Changhui
17 Zlotnik, Alexander A.
16 Salvarani, Francesco
16 Wang, Qi
16 Xiao, Qinghua
15 Cañizo, José Alfredo
15 Crouseilles, Nicolas
15 Guo, Yan
15 Han-Kwan, Daniel
15 Hu, Yanbo
15 Jabin, Pierre-Emmanuel
15 Lods, Bertrand
15 Tang, Qinglin
15 Wang, Tingchun
14 Cai, Yongyong
14 Dolbeault, Jean
14 Kim, Chanwoo
14 Li, Yeping
14 Liu, Yicheng
14 Soler, Juan S.
14 Tan, Zhong
14 Tiwari, Sudarshan
14 Wang, Yuzhu
14 Wolfram, Marie-Therese
13 Ahn, Hyunjin
13 Göttlich, Simone
13 Li, Haoguang
13 Li, Ruo
13 Mischler, Stéphane
13 Schneider, Florian H.
13 Xu, Chao-Jiang
13 Zhu, Mingxuan
12 Albi, Giacomo
12 Fellner, Klemens
12 Gabriel, Pierre
12 Martínez Gamba, Irene
12 Goudon, Thierry
12 Knopoff, Damian A.
12 Li, Fucai
12 Lian, Ruxu
12 Liu, Lvqiao
12 Pinaud, Olivier
12 Ruggeri, Tommaso
12 Shim, Woojoo
12 Strain, Robert M.
12 Vasseur, Alexis F.
12 Vauchelet, Nicolas
12 Visconti, Giuseppe
12 Zhang, Yinghui
11 Bae, Hyeong-Ohk
11 Calvez, Vincent
11 Haskovec, Jan
11 Kawashima, Shuichi
11 Kim, Dohyun
11 Lachowicz, Mirosław
11 Lei, Yuanjie
11 Li, Hailiang
11 Li, Qin
11 Liao, Jie
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Cited in 350 Journals

215 Kinetic and Related Models
190 Journal of Differential Equations
163 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
144 Journal of Computational Physics
128 SIAM Journal on Mathematical Analysis
111 Journal of Mathematical Analysis and Applications
105 Journal of Statistical Physics
85 Archive for Rational Mechanics and Analysis
77 ZAMP. Zeitschrift für angewandte Mathematik und Physik
76 Journal of Mathematical Physics
67 Nonlinear Analysis. Real World Applications
62 Discrete and Continuous Dynamical Systems. Series B
60 Communications in Mathematical Physics
56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
53 Applied Mathematics Letters
51 Discrete and Continuous Dynamical Systems
40 Acta Applicandae Mathematicae
40 Multiscale Modeling & Simulation
39 Computers & Mathematics with Applications
38 Networks and Heterogeneous Media
37 Applied Mathematics and Computation
35 Journal of Functional Analysis
35 Communications on Pure and Applied Analysis
34 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
34 Physica D
34 SIAM Journal on Scientific Computing
33 Nonlinearity
33 SIAM Journal on Applied Mathematics
33 Journal of Mathematical Fluid Mechanics
31 Mathematical Methods in the Applied Sciences
30 Journal of Scientific Computing
29 SIAM Journal on Numerical Analysis
28 Communications in Partial Differential Equations
26 Applicable Analysis
25 Journal de Mathématiques Pures et Appliquées. Neuvième Série
24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
23 Journal of Mathematical Biology
22 Journal of Nonlinear Science
22 Calculus of Variations and Partial Differential Equations
22 Science China. Mathematics
21 Journal of Fluid Mechanics
21 Boundary Value Problems
20 Physica A
20 Journal of Computational and Applied Mathematics
20 Acta Mathematica Scientia. Series B. (English Edition)
19 Quarterly of Applied Mathematics
19 Communications in Computational Physics
16 Advances in Mathematics
16 Applied Numerical Mathematics
16 SIAM Journal on Applied Dynamical Systems
16 Analysis and Applications (Singapore)
16 Journal of Hyperbolic Differential Equations
16 Mathematical Biosciences and Engineering
15 Journal of Evolution Equations
14 Mathematics of Computation
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Séminaire Laurent Schwartz. EDP et Applications
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
12 Mathematics and Computers in Simulation
12 The Annals of Applied Probability
12 NoDEA. Nonlinear Differential Equations and Applications
12 Annals of PDE
11 Bulletin of Mathematical Biology
11 Proceedings of the American Mathematical Society
11 Acta Mathematicae Applicatae Sinica. English Series
11 Stochastic Processes and their Applications
11 Journal of Dynamics and Differential Equations
11 Journal of Computational and Theoretical Transport
10 Numerische Mathematik
10 Numerical Methods for Partial Differential Equations
10 International Journal of Computer Mathematics
10 Annales Henri Poincaré
10 Oberwolfach Reports
10 Communications in Applied and Industrial Mathematics
10 SN Partial Differential Equations and Applications
9 Computers and Fluids
9 Ricerche di Matematica
9 SIAM Journal on Control and Optimization
9 Mathematical and Computer Modelling
9 European Journal of Applied Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Journal of Physics A: Mathematical and Theoretical
9 Advances in Mathematical Physics
9 AIMS Mathematics
8 Computer Methods in Applied Mechanics and Engineering
8 The Annals of Probability
8 Mathematische Nachrichten
8 Communications in Nonlinear Science and Numerical Simulation
8 Discrete and Continuous Dynamical Systems. Series S
8 Journal of Theoretical Biology
7 Applied Mathematics and Optimization
7 Chinese Annals of Mathematics. Series B
7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
7 Continuum Mechanics and Thermodynamics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Electronic Journal of Probability
7 Journal de l’École Polytechnique – Mathématiques
6 Transactions of the American Mathematical Society
6 Asymptotic Analysis
6 The Journal of Geometric Analysis
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Cited in 51 Fields

2,773 Partial differential equations (35-XX)
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667 Numerical analysis (65-XX)
601 Biology and other natural sciences (92-XX)
277 Probability theory and stochastic processes (60-XX)
175 Ordinary differential equations (34-XX)
153 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
150 Quantum theory (81-XX)
107 Integral equations (45-XX)
107 Operator theory (47-XX)
104 Dynamical systems and ergodic theory (37-XX)
101 Calculus of variations and optimal control; optimization (49-XX)
100 Operations research, mathematical programming (90-XX)
92 Optics, electromagnetic theory (78-XX)
80 Mechanics of deformable solids (74-XX)
77 Classical thermodynamics, heat transfer (80-XX)
74 Mechanics of particles and systems (70-XX)
74 Systems theory; control (93-XX)
59 Real functions (26-XX)
50 Relativity and gravitational theory (83-XX)
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