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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/journal/1937-5093
http://aimsciences.org/journals/home.jsp?journalID=16
Comments: Indexed cover-to-cover
Documents Indexed: 589 Publications (since 2008)
References Indexed: 330 Publications with 9,732 References.
all top 5

Authors

12 Carrillo de la Plata, José Antonio
12 Ha, Seung-Yeal
11 Herty, Michael Matthias
9 Degond, Pierre
9 Jin, Shi
9 Toscani, Giuseppe
9 Xu, Chao-Jiang
9 Yang, Tong
8 Bisi, Marzia
8 Bobylev, Alexandre Vasiljévitch
8 Morimoto, Yoshinori
8 Nouri, Anne
8 Schmeiser, Christian
7 Alexandre, Radjesvarane
7 Aoki, Kazuo
7 Brull, Stephane
7 Esposito, Raffaele
7 Tan, Zhong
6 Arkeryd, Leif O.
6 Fan, Jishan
6 Spiga, Giampiero
6 Zhao, Huijiang
5 Ben Abdallah, Naoufel
5 Burger, Martin
5 Crouseilles, Nicolas
5 Desvillettes, Laurent
5 Golse, François
5 Groppi, Maria
5 Guo, Yan
5 Illner, Reinhard
5 Jüngel, Ansgar
5 Kawashima, Shuichi
5 Komorowski, Tomasz
5 Lemou, Mohammed
5 Marra, Rossana
5 Nakamura, Tohru
5 Ukai, Seiji
5 Wagner, Wolfgang
4 Caprino, Silvia
4 Cho, Yong-Kum
4 Dolbeault, Jean
4 Duan, Renjun
4 Frank, Martin
4 Martínez Gamba, Irene
4 Goudon, Thierry
4 Haskovec, Jan
4 He, Lingbing
4 Kim, Jeongho
4 Klar, Axel
4 Li, Fucai
4 Liu, Jianguo
4 Marchioro, Carlo
4 Markowich, Peter Alexander
4 Méhats, Florian
4 Negulescu, Claudia
4 Pankavich, Stephen
4 Perthame, Benoît
4 Salvarani, Francesco
4 Schneider, Florian H.
4 Tosin, Andrea
4 Wolfram, Marie-Therese
4 Yun, Seok-Bae
4 Zhang, Xiongtao
4 Zlotnik, Alexander A.
3 Armbruster, Dieter
3 Arnold, Anton
3 Bal, Guillaume
3 Banasiak, Jacek
3 Bao, Weizhu
3 Barletti, Luigi
3 Bellomo, Nicola
3 Bernhoff, Niclas
3 Calvez, Vincent
3 Carlen, Eric Anders
3 Chen, Hua
3 Chertock, Alina E.
3 Choi, Young-Pil
3 Fournier, Nicolas G.
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
3 Pareschi, Lorenzo
3 Parisot, Martin
3 Puel, Marjolaine
3 Pulvirenti, Mario
3 Puppo, Gabriella
3 Ricci, Valeria
3 Ringhofer, Christian A.
3 Schaeffer, Jack W.
...and 714 more Authors
all top 5

Fields

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

Publications by Year

Citations contained in zbMATH Open

457 Publications have been cited 4,045 times in 2,934 Documents Cited by Year
From particle to kinetic and hydrodynamic descriptions of flocking. Zbl 1402.76108
Ha, Seung-Yeal; Tadmor, Eitan
240
2008
Mathematical theory and numerical methods for Bose-Einstein condensation. Zbl 1266.82009
Bao, Weizhu; Cai, Yongyong
188
2013
Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076
Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
120
2011
Double milling in self-propelled swarms from kinetic theory. Zbl 1195.92069
Carrillo, José A.; D’Orsogna, M. R.; Panferov, V.
97
2009
On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033
Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping
67
2012
Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system. Zbl 1215.35127
Carrillo, José A.; Duan, Renjun; Moussa, Ayman
49
2011
A review of the mean field limits for Vlasov equations. Zbl 1318.35129
Jabin, Pierre-Emmanuel
49
2014
The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440
Jiu, Quansen; Xin, Zhouping
42
2008
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
41
2013
Cucker-Smale model with normalized communication weights and time delay. Zbl 1357.34024
Choi, Young-Pil; Haskovec, Jan
40
2017
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
40
2008
Entropy and chaos in the Kac model. Zbl 1186.76675
Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric
37
2010
Optimal time decay of the non cut-off Boltzmann equation in the whole space. Zbl 1383.76414
Strain, Robert M.
35
2012
Regularity criteria for the 3D MHD equations via partial derivatives. II. Zbl 1304.35549
Jia, Xuanji; Zhou, Yong
34
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
34
2011
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
31
2010
Regularity criteria for the 3D MHD equations via partial derivatives. Zbl 1254.35192
Jia, Xuanji; Zhou, Yong
31
2012
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
29
2013
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357
Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo
29
2008
Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics. Zbl 1372.76090
Russo, Giovanni; Filbet, Francis
27
2009
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
27
2018
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system. Zbl 1252.65157
Ayuso, Blanca; Carrillo, José A.; Shu, Chi-Wang
27
2011
A review of Boltzmann equation with singular kernels. Zbl 1193.35121
Alexandre, Radjesvarane
26
2009
Kinetic limits for waves in a random medium. Zbl 1221.60095
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
25
2010
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
24
2015
Vision-based macroscopic pedestrian models. Zbl 1426.76051
Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy
24
2013
Decay property for a plate equation with memory-type dissipation. Zbl 1225.35150
Liu, Yongqin; Kawashima, Shuichi
24
2011
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
24
2010
Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476
Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang
24
2013
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
24
2019
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
22
2013
Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model. Zbl 1189.35250
Fan, Jishan; Ozawa, Tohru
21
2009
Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. Zbl 1357.35244
Fan, Jishan; Huang, Shuxiang; Li, Fucai
20
2017
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
Orientation waves in a director field with rotational inertia. Zbl 1180.35010
Alì, Giuseppe; Hunter, John K.
20
2009
Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations. Zbl 1282.35296
Fan, Jishan; Fukumoto, Yasuhide; Zhou, Yong
20
2013
Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles. Zbl 1317.65212
Crestetto, Anaïs; Crouseilles, Nicolas; Lemou, Mohammed
20
2012
Time asymptotics for a critical case in fragmentation and growth-fragmentation equations. Zbl 1332.35365
Doumic, Marie; Escobedo, Miguel
19
2016
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François
19
2011
Coordinates in the relativistic Boltzmann theory. Zbl 1429.76094
Strain, Robert M.
19
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
19
2016
Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics. Zbl 1227.35073
Suzuki, Masahiro
19
2011
Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac’s equation. Zbl 1194.35089
Lekrine, Nadia; Xu, Chao-Jiang
19
2009
Local Hilbert expansion for the Boltzmann equation. Zbl 1372.76089
Guo, Yan; Jang, Juhi; Jiang, Ning
19
2009
Diffusion asymptotics of a kinetic model for gaseous mixtures. Zbl 1260.35100
Boudin, Laurent; Grec, Bérénice; Pavić, Milana; Salvarani, Francesco
19
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
Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
18
2017
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
18
2013
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
18
2010
Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach. Zbl 1242.76304
Ben Abdallah, Naoufel; Mellet, Antoine; Puel, Marjolaine
18
2011
Some a priori estimates for the homogeneous Landau equation with soft potentials. Zbl 1320.35104
Alexandre, Radjesvarane; Liao, Jie; Lin, Chunjin
17
2015
Numerical study of a particle method for gradient flows. Zbl 1354.65180
Carrillo, José Antonio; Huang, Yanghong; Patacchini, Francesco Saverio; Wolansky, Gershon
16
2017
On hyperbolicity of 13-moment system. Zbl 1304.82063
Cai, Zhenning; Fan, Yuwei; Li, Ruo
16
2014
A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods. Zbl 1304.35475
Koellermeier, Julian; Schaerer, Roman Pascal; Torrilhon, Manuel
16
2014
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
16
2013
Large-time decay of the soft potential relativistic Boltzmann equation in \(\mathbb{R}^3_x\). Zbl 1247.76071
Strain, Robert M.; Zhu, Keya
16
2012
Spectral decompositions and \(\mathbb{L}^2\)-operator norms of toy hypocoercive semi-groups. Zbl 1262.35134
Gadat, Sébastien; Miclo, Laurent
16
2013
Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064
Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric
15
2011
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
15
2009
A remark on Cannone-Karch solutions to the homogeneous Boltzmann equation for Maxwellian molecules. Zbl 1255.35177
Morimoto, Yoshinori
15
2012
Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior. Zbl 1250.35166
Schaeffer, Jack
15
2012
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
15
2011
A logistic equation with nonlocal interactions. Zbl 1356.35261
Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico
14
2017
On interfaces between cell populations with different mobilities. Zbl 1359.35204
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît
14
2017
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
14
2016
Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics. Zbl 1376.80002
Bisi, Marzia; Ruggeri, Tommaso; Spiga, Giampiero
14
2018
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.
14
2017
Confinement by biased velocity jumps: aggregation of Escherichia coli. Zbl 1337.35155
Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian
14
2015
Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Zbl 1195.82087
Philippe, Ghendrih; Maxime, Hauray; Nouri, Anne
14
2009
On the plasma-charge model. Zbl 1193.82045
Caprino, Silvia; Marchioro, Carlo
14
2010
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
14
2013
Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Zbl 1255.82065
Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella
14
2012
Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356
Degond, Pierre; Delitala, Marcello
14
2008
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
13
2017
A consistent kinetic model for a two-component mixture with an application to plasma. Zbl 1352.82009
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
13
2017
A kinetic theory description of liquid menisci at the microscale. Zbl 1362.82044
Barbante, Paolo; Frezzotti, Aldo; Gibelli, Livio
13
2015
Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction. Zbl 1330.35339
Pu, Xueke; Guo, Boling
13
2016
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
13
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
13
2013
On a relativistic Fokker-Planck equation in kinetic theory. Zbl 1219.35312
Alcántara, José Antonio; Calogero, Simone
13
2011
On Villani’s conjecture concerning entropy production for the Kac master equation. Zbl 1335.82023
Einav, Amit
13
2011
The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292
Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre
13
2009
Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006
Frank, Martin; Hauck, Cory D.; Olbrant, Edgar
13
2013
Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148
Jüngel, Ansgar; Milišić, Josipa-Pina
13
2011
Explicit equilibrium solutions for the aggregation equation with power-law potentials. Zbl 1354.45001
Carrillo, José A.; Huang, Yanghong
12
2017
Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Zbl 1328.35144
Escobedo, Miguel; Tran, Minh-Binh
12
2015
Entropy production for ellipsoidal BGK model of the Boltzmann equation. Zbl 1358.35083
Yun, Seok-Bae
12
2016
A degenerate \(p\)-Laplacian Keller-Segel model. Zbl 1364.35162
Cong, Wenting; Liu, Jian-Guo
12
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
12
2013
A kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles. Zbl 1434.35248
Kim, Daewa; Quaini, Annalisa
12
2019
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
11
2016
Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
11
2011
A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror. Zbl 1364.82061
Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo
11
2016
First-order quarter- and mixed-moment realizability theory and Kershaw closures for a Fokker-Planck equation in two space dimensions. Zbl 1364.35370
Schneider, Florian; Roth, Andreas; Kall, Jochen
11
2017
Time decay of solutions to the compressible Euler equations with damping. Zbl 1318.35072
Chen, Qing; Tan, Zhong
11
2014
On kinetic flux vector splitting schemes for quantum Euler equations. Zbl 1220.35128
Hu, Jingwei; Jin, Shi
11
2011
A Boltzmann-like equation for choice formation. Zbl 1180.35402
Comincioli, Valeriano; Della Croce, Lucia; Toscani, Giuseppe
11
2009
Time evolution of a Vlasov-Poisson plasma with magnetic confinement. Zbl 1263.82052
Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo
11
2012
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
11
2019
Second order all speed method for the isentropic Euler equations. Zbl 1366.76065
Tang, Min
11
2012
Opinion formation systems via deterministic particles approximation. Zbl 07411816
Fagioli, Simone; Radici, Emanuela
3
2021
Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds. Zbl 1476.35190
Ahn, Hyunjin; Ha, Seung-Yeal; Shim, Woojoo
3
2021
Relativistic BGK model for massless particles in the FLRW spacetime. Zbl 1484.76096
Hwang, Byung-Hoon; Lee, Ho; Yun, Seok-Bae
2
2021
Superposition principle and schemes for measure differential equations. Zbl 1475.35379
Camilli, Fabio; Cavagnari, Giulia; Maio, Raul De; Piccoli, Benedetto
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
2021
Collisional sheath solutions of a bi-species Vlasov-Poisson-Boltzmann boundary value problem. Zbl 1471.35272
Badsi, Mehdi
1
2021
Diffusion limit of the Vlasov-Poisson-Boltzmann system. Zbl 1479.76121
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
1
2021
A general way to confined stationary Vlasov-Poisson plasma configurations. Zbl 1476.35273
Belyaeva, Yulia O.; Gebhard, Björn; Skubachevskii, Alexander L.
1
2021
Projective integration schemes for hyperbolic moment equations. Zbl 1479.76070
Koellermeier, Julian; Samaey, Giovanni
1
2021
On group symmetries of the hydrodynamic equations for rarefied gas. Zbl 1476.35194
Bobylev, Alexander V.; Meleshko, Sergey V.
1
2021
Incompressible Navier-Stokes-Fourier limit from the Landau equation. Zbl 1476.35165
Rachid, Mohamad
1
2021
A spectral study of the linearized Boltzmann operator in \(L^2\)-spaces with polynomial and Gaussian weights. Zbl 1477.35112
Gervais, Pierre
1
2021
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
1
2021
Boltzmann-type equations for multi-agent systems with label switching. Zbl 1476.35164
Loy, Nadia; Tosin, Andrea
1
2021
BGK models for inert mixtures: comparison and applications. Zbl 07451612
Boscarino, Sebastiano; Cho, Seung Yeon; Groppi, Maria; Russo, Giovanni
1
2021
The BGK approximation of kinetic models for traffic. Zbl 1437.90042
Herty, Michael; Puppo, Gabriella; Roncoroni, Sebastiano; Visconti, Giuseppe
9
2020
Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime. Zbl 1462.34100
Haskovec, Jan; Markou, Ioannis
9
2020
Local well-posedness of the Boltzmann equation with polynomially decaying initial data. Zbl 1442.35288
Henderson, Christopher; Snelson, Stanley; Tarfulea, Andrei
7
2020
Diffusion and kinetic transport with very weak confinement. Zbl 1434.35237
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
5
2020
Cercignani-Lampis boundary in the Boltzmann theory. Zbl 1447.76029
Chen, Hongxu
4
2020
Hypocoercivity of linear kinetic equations via Harris’s theorem. Zbl 1434.35032
Cañizo, José A.; Cao, Chuqi; Evans, Josephine; Yoldaş, Havva
3
2020
A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators. Zbl 1447.58032
Patie, Pierre; Vaidyanathan, Aditya
3
2020
A semigroup approach to the convergence rate of a collisionless gas. Zbl 1464.35277
Bernou, Armand
3
2020
The Neumann numerical boundary condition for transport equations. Zbl 1437.65093
Coulombel, Jean-François; Lagoutière, Frédéric
2
2020
A kinetic approach of the bi-temperature Euler model. Zbl 1434.82033
Brull, Stéphane; Dubroca, Bruno; Prigent, Corentin
2
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.
2
2020
Kinetic models of conservative economies with need-based transfers as welfare. Zbl 1434.35247
Kayser, Kirk; Armbruster, Dieter; Herty, Michael
2
2020
Global analytic solutions of the semiconductor Boltzmann-Dirac-Benney equation with relaxation time approximation. Zbl 1434.35031
Braukhoff, Marcel
2
2020
Stochastic Cucker-Smale flocking dynamics of jump-type. Zbl 1437.35661
Friesen, Martin; Kutoviy, Oleksandr
2
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
2
2020
Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules. Zbl 1451.35154
Morimoto, Yoshinori; Xu, Chao-Jiang
2
2020
Confined steady states of the relativistic Vlasov-Maxwell system in an infinitely long cylinder. Zbl 1453.35164
Weber, Jörg
2
2020
Global existence theorem for a model governing the motion of two cell populations. Zbl 1458.35084
Price, Brock C.; Xu, Xiangsheng
2
2020
Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria. Zbl 1458.35413
Nguyen, Trinh T.
2
2020
An anisotropic interaction model with collision avoidance. Zbl 1458.93018
Totzeck, Claudia
2
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 Fokker-Planck equations with in- and outflow of mass. Zbl 1437.35666
Burger, Martin; Humpert, Ina; Pietschmann, Jan-Frederik
1
2020
Trend to the equilibrium for the Fokker-Planck system with an external magnetic field. Zbl 1473.35572
Karaki, Zeinab
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
A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions. Zbl 1446.65128
Hu, Jingwei; Shen, Jie; Wang, Yingwei
1
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
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
Kinetic formulation of a \(2 \times 2\) hyperbolic system arising in gas chromatography. Zbl 1451.35088
Bourdarias, Christian; Gisclon, Marguerite; Junca, Stéphane
1
2020
Stability of a non-local kinetic model for cell migration with density dependent orientation bias. Zbl 1448.35355
Loy, Nadia; Preziosi, Luigi
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
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
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
24
2019
A kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles. Zbl 1434.35248
Kim, Daewa; Quaini, Annalisa
12
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
11
2019
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts. Zbl 1420.35431
Bernard, Étienne; Doumic, Marie; Gabriel, Pierre
10
2019
Kinetic methods for inverse problems. Zbl 1420.35417
Herty, Michael; Visconti, Giuseppe
10
2019
Global solution to the 3-D inhomogeneous incompressible MHD system with discontinuous density. Zbl 1410.35110
Chen, Fei; Guo, Boling; Zhai, Xiaoping
10
2019
Stationary solutions to the boundary value problem for the relativistic BGK model in a slab. Zbl 1420.35171
Hwang, Byung-Hoon; Yun, Seok-Bae
8
2019
Sedimentation of particles in Stokes flow. Zbl 1420.35254
Mecherbet, Amina
8
2019
On the blow-up criterion and global existence of a nonlinear PDE system in biological transport networks. Zbl 1420.35440
Li, Bin
8
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
7
2019
Cucker-Smale flocking particles with multiplicative noises: stochastic mean-field limit and phase transition. Zbl 1420.60066
Choi, Young-Pil; Salem, Samir
6
2019
Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation. Zbl 1420.35177
Wang, Teng; Wang, Yi
6
2019
Sonic-supersonic solutions for the two-dimensional pseudo-steady full Euler equations. Zbl 1437.35487
Hu, Yanbo; Li, Tong
6
2019
Convergence of a vector-BGK approximation for the incompressible Navier-Stokes equations. Zbl 1410.35093
Bianchini, Roberta; Natalini, Roberto
5
2019
Emergence of aggregation in the swarm sphere model with adaptive coupling laws. Zbl 1421.82019
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun
4
2019
Semiconductor Boltzmann-Dirac-Benney equation with a BGK-type collision operator: existence of solutions vs. ill-posedness. Zbl 1428.35264
Braukhoff, Marcel
4
2019
Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations. Zbl 1420.35413
Herda, Maxime; Rodrigues, Luis Miguel
4
2019
Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case. Zbl 1420.35111
Cattiaux, Patrick; Nasreddine, Elissar; Puel, Marjolaine
4
2019
Differentiability in perturbation parameter of measure solutions to perturbed transport equation. Zbl 1420.35448
Gwiazda, Piotr; Hille, Sander C.; Łyczek, Kamila; Świerczewska-Gwiazda, Agnieszka
4
2019
An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027
Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur
4
2019
Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation. Zbl 1434.65183
Henning, Patrick; Wärnegård, Johan
4
2019
Multiple large-time behavior of nonlocal interaction equations with quadratic diffusion. Zbl 1421.35026
Di Francesco, Marco; Jaafra, Yahya
3
2019
A global existence of classical solutions to the two-dimensional Vlasov-Fokker-Planck and magnetohydrodynamics equations with large initial data. Zbl 1428.35362
Huang, Bingkang; Zhang, Lan
3
2019
A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598
Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw
3
2019
Spectral convergence of the stochastic Galerkin approximation to the Boltzmann equation with multiple scales and large random perturbation in the collision kernel. Zbl 1420.65104
Daus, Esther S.; Jin, Shi; Liu, Liu
3
2019
Diffusion limit for a kinetic equation with a thermostatted interface. Zbl 1420.60043
Basile, Giada; Komorowski, Tomasz; Olla, Stefano
3
2019
Mean-field limit of a spatially-extended Fitzhugh-Nagumo neural network. Zbl 1432.92003
Crevat, Joachim
3
2019
Evaluating high order discontinuous Galerkin discretization of the Boltzmann collision integral in \(\mathcal{O}(N^2)\) operations using the discrete Fourier transform. Zbl 1421.76201
Alekseenko, Alexander; Limbacher, Jeffrey
2
2019
Well-posedness of Cauchy problem for Landau equation in critical Besov space. Zbl 1420.35076
Cao, Hongmei; Li, Hao-Guang; Xu, Chao-Jiang; Xu, Jiang
2
2019
Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws. Zbl 1421.35214
Nakamura, Kenta; Nakamura, Tohru; Kawashima, Shuichi
2
2019
A probabilistic approach for the mean-field limit to the Cucker-Smale model with a singular communication. Zbl 1421.70024
Ha, Seung-Yeal; Kim, Jeongho; Pickl, Peter; Zhang, Xiongtao
2
2019
Uniform estimates on the Fisher information for solutions to Boltzmann and Landau equations. Zbl 1420.35170
Alonso, Ricardo J.; Bagland, Véronique; Lods, Bertrand
2
2019
Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks. Zbl 07027327
Pogan, Alin; Zumbrun, Kevin
2
2019
A stochastic algorithm without time discretization error for the Wigner equation. Zbl 1410.82024
Muscato, Orazio; Wagner, Wolfgang
2
2019
Kinetic models and intrinsic timescales: simulation comparison for a 2nd order queueing model. Zbl 1406.60126
Armbruster, Dieter; Wienke, Matthew
2
2019
Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D. Zbl 1420.35412
Hauray, Maxime; Salem, Samir
1
2019
On a Boltzmann equation for Haldane statistics. Zbl 1421.82018
Arkeryd, Leif; Nouri, Anne
1
2019
Non-uniqueness of weak solutions of the quantum-hydrodynamic system. Zbl 1421.35004
Markowich, Peter; Sierra, Jesús
1
2019
Fully conservative spectral Galerkin-Petrov method for the inhomogeneous Boltzmann equation. Zbl 1421.82032
Keßler, Torsten; Rjasanow, Sergej
1
2019
The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation. Zbl 1423.34020
Banasiak, Jacek; Joel, Luke O.; Shindin, Sergey
1
2019
Numerical solutions for multidimensional fragmentation problems using finite volume methods. Zbl 1407.45007
Saha, Jitraj; Das, Nilima; Kumar, Jitendra; Bück, Andreas
1
2019
Memory effects in measure transport equations. Zbl 1430.35247
Camilli, Fabio; De Maio, Raul
1
2019
A note on two species collisional plasma in bounded domains. Zbl 1434.35033
Cao, Yunbai
1
2019
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
27
2018
Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics. Zbl 1376.80002
Bisi, Marzia; Ruggeri, Tommaso; Spiga, Giampiero
14
2018
Local sensitivity analysis for the Cucker-Smale model with random inputs. Zbl 1457.92198
Ha, Seung-Yeal; Jin, Shi
10
2018
A general consistent BGK model for gas mixtures. Zbl 1405.76042
Bobylev, Alexander V.; Bisi, Marzia; Groppi, Maria; Spiga, Giampiero; Potapenko, Irina F.
10
2018
Regularity theorems for a biological network formulation model in two space dimensions. Zbl 1408.35200
Xu, Xiangsheng
8
2018
Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030
Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo
8
2018
A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation. Zbl 1405.35239
Barik, Prasanta Kumar; Giri, Ankik Kumar
8
2018
A derivation of the Vlasov-Stokes system for aerosol flows from the kinetic theory of binary gas mixtures. Zbl 1375.35297
Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria
7
2018
Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. Zbl 1407.82039
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L.
7
2018
On multi-dimensional hypocoercive BGK models. Zbl 1405.82023
Achleitner, Franz; Arnold, Anton; Carlen, Eric A.
7
2018
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Cited by 2,816 Authors

92 Ha, Seung-Yeal
53 Carrillo de la Plata, José Antonio
40 Choi, Young-Pil
31 Bellomo, Nicola
31 Yun, Seok-Bae
30 Degond, Pierre
28 Yang, Tong
24 Zhao, Huijiang
23 Fan, Jishan
23 Jin, Shi
23 Morimoto, Yoshinori
23 Zhou, Yong
21 Duan, Renjun
21 Liu, Jianguo
20 Kim, Jeongho
20 Klar, Axel
20 Toscani, Giuseppe
19 Herty, Michael Matthias
19 Zhang, Xiongtao
18 Antoine, Xavier
18 Bao, Weizhu
18 Gala, Sadek
18 Pareschi, Lorenzo
18 Wang, Yi
17 Dimarco, Giacomo
17 Kang, Moon-Jin
17 Kim, Doheon
17 Yamazaki, Kazuo
16 Jüngel, Ansgar
16 Liu, Shuangqian
16 Xiao, Qinghua
15 Brull, Stephane
15 Perthame, Benoît
15 Ragusa, Maria Alessandra
15 Tadmor, Eitan
15 Xu, Chao-Jiang
14 Bisi, Marzia
14 Crouseilles, Nicolas
14 Desvillettes, Laurent
14 Han-Kwan, Daniel
14 Tosin, Andrea
14 Wang, Yuzhu
14 Zanella, Mattia
14 Zhang, Xianwen
14 Zlotnik, Alexander A.
13 Dolbeault, Jean
13 Hu, Yanbo
13 Jabin, Pierre-Emmanuel
13 Salvarani, Francesco
13 Soler, Juan S.
13 Tan, Zhong
13 Wolfram, Marie-Therese
13 Zhu, Mingxuan
12 Cai, Yongyong
12 Cañizo, José Alfredo
12 Filbet, Francis
12 Goudon, Thierry
12 Jung, Jinwook
12 Knopoff, Damian A.
12 Lian, Ruxu
12 Lods, Bertrand
12 Ruggeri, Tommaso
12 Tan, Changhui
12 Tang, Qinglin
12 Vauchelet, Nicolas
12 Wang, Tingchun
11 Gabriel, Pierre
11 Göttlich, Simone
11 Kawashima, Shuichi
11 Liu, Lvqiao
11 Mischler, Stéphane
11 Pu, Xueke
11 Tran, Minh-Binh
11 Wang, Yinxia
11 Zhang, Zujin
11 Zhao, Xiaofei
10 Bae, Hyeong-Ohk
10 Fellner, Klemens
10 Frank, Martin
10 Martínez Gamba, Irene
10 Kim, Dohyun
10 Lachowicz, Mirosław
10 Lemou, Mohammed
10 Li, Fucai
10 Li, Haoguang
10 Li, Ruo
10 Li, Yeping
10 Marchioro, Carlo
10 Muscato, Orazio
10 Pinaud, Olivier
10 Samaey, Giovanni
10 Schneider, Florian H.
10 Shim, Woojoo
10 Strain, Robert M.
10 Tiwari, Sudarshan
10 Vasseur, Alexis F.
9 Albi, Giacomo
9 Chae, Dongho
9 Dong, Jiu-Gang
9 Fournier, Nicolas G.
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Cited in 310 Journals

178 Kinetic and Related Models
160 Journal of Differential Equations
138 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
113 Journal of Computational Physics
104 SIAM Journal on Mathematical Analysis
95 Journal of Mathematical Analysis and Applications
87 Journal of Statistical Physics
72 Archive for Rational Mechanics and Analysis
58 ZAMP. Zeitschrift für angewandte Mathematik und Physik
58 Nonlinear Analysis. Real World Applications
53 Communications in Mathematical Physics
53 Journal of Mathematical Physics
48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
46 Discrete and Continuous Dynamical Systems
45 Applied Mathematics Letters
42 Discrete and Continuous Dynamical Systems. Series B
35 Computers & Mathematics with Applications
35 Multiscale Modeling & Simulation
34 Acta Applicandae Mathematicae
31 Applied Mathematics and Computation
29 Journal of Functional Analysis
29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
29 Physica D
29 Communications on Pure and Applied Analysis
28 SIAM Journal on Scientific Computing
28 Journal of Mathematical Fluid Mechanics
28 Networks and Heterogeneous Media
27 Journal of Scientific Computing
25 SIAM Journal on Applied Mathematics
23 Nonlinearity
22 Applicable Analysis
22 Journal of Mathematical Biology
22 Mathematical Methods in the Applied Sciences
22 SIAM Journal on Numerical Analysis
21 Communications in Partial Differential Equations
21 Journal de Mathématiques Pures et Appliquées. Neuvième Série
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
19 Journal of Fluid Mechanics
19 Calculus of Variations and Partial Differential Equations
18 Quarterly of Applied Mathematics
18 Communications in Computational Physics
18 Science China. Mathematics
17 Journal of Nonlinear Science
16 Boundary Value Problems
15 Journal of Computational and Applied Mathematics
15 Journal of Hyperbolic Differential Equations
15 Mathematical Biosciences and Engineering
15 Séminaire Laurent Schwartz. EDP et Applications
14 Physica A
14 Advances in Mathematics
14 Applied Numerical Mathematics
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Analysis and Applications (Singapore)
13 Journal of Evolution Equations
12 NoDEA. Nonlinear Differential Equations and Applications
12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
12 SIAM Journal on Applied Dynamical Systems
11 Mathematics and Computers in Simulation
10 Numerische Mathematik
10 Acta Mathematicae Applicatae Sinica. English Series
9 Mathematics of Computation
9 Ricerche di Matematica
9 Mathematical and Computer Modelling
9 The Annals of Applied Probability
9 Journal of Dynamics and Differential Equations
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Communications in Applied and Industrial Mathematics
9 Annals of PDE
9 Journal of Computational and Theoretical Transport
8 Bulletin of Mathematical Biology
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Discrete and Continuous Dynamical Systems. Series S
8 Advances in Mathematical Physics
7 Computers and Fluids
7 The Annals of Probability
7 Proceedings of the American Mathematical Society
7 Stochastic Processes and their Applications
7 Continuum Mechanics and Thermodynamics
7 Journal of Theoretical Biology
7 AIMS Mathematics
7 SN Partial Differential Equations and Applications
6 Computer Methods in Applied Mechanics and Engineering
6 SIAM Journal on Control and Optimization
6 International Journal of Computer Mathematics
6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Abstract and Applied Analysis
6 Communications in Nonlinear Science and Numerical Simulation
6 Annales Henri Poincaré
6 Oberwolfach Reports
6 Journal de l’École Polytechnique – Mathématiques
6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Annales Polonici Mathematici
5 Chinese Annals of Mathematics. Series B
5 Numerical Methods for Partial Differential Equations
5 The Journal of Geometric Analysis
5 Applied Mathematical Modelling
5 European Journal of Mechanics. B. Fluids
5 SIAM/ASA Journal on Uncertainty Quantification
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Cited in 50 Fields

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870 Statistical mechanics, structure of matter (82-XX)
539 Numerical analysis (65-XX)
473 Biology and other natural sciences (92-XX)
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134 Ordinary differential equations (34-XX)
117 Quantum theory (81-XX)
115 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
88 Dynamical systems and ergodic theory (37-XX)
88 Operator theory (47-XX)
87 Integral equations (45-XX)
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79 Operations research, mathematical programming (90-XX)
67 Mechanics of deformable solids (74-XX)
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49 Systems theory; control (93-XX)
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