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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: http://aimsciences.org/journals/home.jsp?journalID=16 Comments: Indexed cover-to-cover
 Documents Indexed: 546 Publications (since 2008) References Indexed: 287 Publications with 8,320 References.
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#### Latest Issues

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#### Authors

 11 Carrillo de la Plata, José Antonio 10 Herty, Michael Matthias 10 Xu, Chao-Jiang 9 Degond, Pierre 9 Ha, Seung-Yeal 9 Jin, Shi 9 Toscani, Giuseppe 8 Bisi, Marzia 8 Morimoto, Yoshinori 8 Nouri, Anne 8 Schmeiser, Christian 8 Yang, Tong 7 Alexandre, Radjesvarane 7 Aoki, Kazuo 7 Bobylev, Alexandre Vasiljévitch 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 Crouseilles, Nicolas 5 Desvillettes, Laurent 5 Golse, François 5 Guo, Yan 5 Illner, Reinhard 5 Kawashima, Shuichi 5 Komorowski, Tomasz 5 Lemou, Mohammed 5 Marra, Rossana 5 Nakamura, Tohru 5 Ukai, Seiji 5 Wagner, Wolfgang 4 Burger, Martin 4 Caprino, Silvia 4 Cho, Yong-Kum 4 Dolbeault, Jean 4 Duan, Renjun 4 Frank, Martin 4 Martínez Gamba, Irene 4 Goudon, Thierry 4 Groppi, Maria 4 Haskovec, Jan 4 Jüngel, Ansgar 4 Klar, Axel 4 Li, Fucai 4 Liu, Jianguo 4 Marchioro, Carlo 4 Markowich, Peter Alexander 4 Méhats, Florian 4 Pankavich, Stephen 4 Perthame, Benoît 4 Salvarani, Francesco 4 Schneider, Florian H. 4 Wolfram, Marie-Therese 4 Zlotnik, Alexander A. 3 Arnold, Anton 3 Bao, Weizhu 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 Guo, Boling 3 He, Lingbing 3 Hittmeir, Sabine 3 Hu, Jingwei 3 Kim, Jeongho 3 Kumar, Jitendra 3 Liu, Shuangqian 3 Liu, Yongqin 3 Lods, Bertrand 3 Mouhot, Clément 3 Negulescu, Claudia 3 Nguyen, Truyen Van 3 Niethammer, Barbara 3 Pareschi, Lorenzo 3 Puel, Marjolaine 3 Pulvirenti, Mario 3 Puppo, Gabriella 3 Ricci, Valeria 3 Ringhofer, Christian A. 3 Schaeffer, Jack W. 3 Sentis, Remi 3 Soares, Ana Jacinta 3 Sparber, Christof 3 Strain, Robert M. 3 Strauss, Walter Alexander 3 Suzuki, Masahiro 3 Tosin, Andrea 3 Vauchelet, Nicolas 3 Velázquez, Juan J. L. 3 Visconti, Giuseppe 3 Wang, Yi ...and 660 more Authors
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#### Fields

 421 Partial differential equations (35-XX) 254 Statistical mechanics, structure of matter (82-XX) 203 Fluid mechanics (76-XX) 89 Numerical analysis (65-XX) 61 Biology and other natural sciences (92-XX) 42 Probability theory and stochastic processes (60-XX) 22 Integral equations (45-XX) 22 Operator theory (47-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Quantum theory (81-XX) 19 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Mechanics of particles and systems (70-XX) 14 Mechanics of deformable solids (74-XX) 14 Operations research, mathematical programming (90-XX) 13 Optics, electromagnetic theory (78-XX) 10 Relativity and gravitational theory (83-XX) 9 Approximations and expansions (41-XX) 9 Astronomy and astrophysics (85-XX) 8 Real functions (26-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) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-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)

#### Citations contained in zbMATH Open

421 Publications have been cited 3,520 times in 2,575 Documents Cited by Year
From particle to kinetic and hydrodynamic descriptions of flocking. Zbl 1402.76108
Ha, Seung-Yeal; Tadmor, Eitan
2008
Mathematical theory and numerical methods for Bose-Einstein condensation. Zbl 1266.82009
Bao, Weizhu; Cai, Yongyong
2013
Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076
Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2011
Double milling in self-propelled swarms from kinetic theory. Zbl 1195.92069
Carrillo, José A.; D’Orsogna, M. R.; Panferov, V.
2009
On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033
Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping
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
The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440
Jiu, Quansen; Xin, Zhouping
2008
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
2013
A review of the mean field limits for Vlasov equations. Zbl 1318.35129
Jabin, Pierre-Emmanuel
2014
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
2008
Entropy and chaos in the Kac model. Zbl 1186.76675
Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric
2010
Optimal time decay of the non cut-off Boltzmann equation in the whole space. Zbl 1383.76414
Strain, Robert M.
2012
Regularity criteria for the 3D MHD equations via partial derivatives. II. Zbl 1304.35549
Jia, Xuanji; Zhou, Yong
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
2011
Cucker-Smale model with normalized communication weights and time delay. Zbl 1357.34024
Choi, Young-Pil; Haskovec, Jan
2017
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
2010
Regularity criteria for the 3D MHD equations via partial derivatives. Zbl 1254.35192
Jia, Xuanji; Zhou, Yong
2012
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357
Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo
2008
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
2013
Decay property for a plate equation with memory-type dissipation. Zbl 1225.35150
Liu, Yongqin; Kawashima, Shuichi
2011
Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476
Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang
2013
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
2010
A review of Boltzmann equation with singular kernels. Zbl 1193.35121
2009
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system. Zbl 1252.65157
Ayuso, Blanca; Carrillo, José A.; Shu, Chi-Wang
2011
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
2018
Vision-based macroscopic pedestrian models. Zbl 1426.76051
Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy
2013
Kinetic limits for waves in a random medium. Zbl 1221.60095
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
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
2015
Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-$$\alpha$$-MHD model. Zbl 1189.35250
Fan, Jishan; Ozawa, Tohru
2009
Orientation waves in a director field with rotational inertia. Zbl 1180.35010
Alì, Giuseppe; Hunter, John K.
2009
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
2013
Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations. Zbl 1282.35296
Fan, Jishan; Fukumoto, Yasuhide; Zhou, Yong
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
2013
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
2019
Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type. Zbl 1208.92096
Agueh, Martial; Illner, Reinhard; Richardson, Ashlin
2011
Diffusion asymptotics of a kinetic model for gaseous mixtures. Zbl 1260.35100
Boudin, Laurent; Grec, Bérénice; Pavić, Milana; Salvarani, Francesco
2013
Time asymptotics for a critical case in fragmentation and growth-fragmentation equations. Zbl 1332.35365
Doumic, Marie; Escobedo, Miguel
2016
Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac’s equation. Zbl 1194.35089
Lekrine, Nadia; Xu, Chao-Jiang
2009
Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics. Zbl 1227.35073
Suzuki, Masahiro
2011
Coordinates in the relativistic Boltzmann theory. Zbl 1429.76094
Strain, Robert M.
2011
Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles. Zbl 1317.65212
Crestetto, Anaïs; Crouseilles, Nicolas; Lemou, Mohammed
2012
Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics. Zbl 1372.76090
Russo, Giovanni; Filbet, Francis
2009
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François
2011
Local Hilbert expansion for the Boltzmann equation. Zbl 1372.76089
Guo, Yan; Jang, Juhi; Jiang, Ning
2009
Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach. Zbl 1242.76304
Ben Abdallah, Naoufel; Mellet, Antoine; Puel, Marjolaine
2011
Some a priori estimates for the homogeneous Landau equation with soft potentials. Zbl 1320.35104
Alexandre, Radjesvarane; Liao, Jie; Lin, Chunjin
2015
Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior. Zbl 1250.35166
Schaeffer, Jack
2012
Spectral decompositions and $$\mathbb{L}^2$$-operator norms of toy hypocoercive semi-groups. Zbl 1262.35134
Gadat, Sébastien; Miclo, Laurent
2013
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
2010
Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
2013
Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. Zbl 1357.35244
Fan, Jishan; Huang, Shuxiang; Li, Fucai
2017
Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064
Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric
2011
Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Zbl 1255.82065
Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella
2012
A remark on Cannone-Karch solutions to the homogeneous Boltzmann equation for Maxwellian molecules. Zbl 1255.35177
Morimoto, Yoshinori
2012
Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356
Degond, Pierre; Delitala, Marcello
2008
On hyperbolicity of 13-moment system. Zbl 1304.82063
Cai, Zhenning; Fan, Yuwei; Li, Ruo
2014
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
2016
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
2011
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.
2017
On the plasma-charge model. Zbl 1193.82045
Caprino, Silvia; Marchioro, Carlo
2010
Large-time decay of the soft potential relativistic Boltzmann equation in $$\mathbb{R}^3_x$$. Zbl 1247.76071
Strain, Robert M.; Zhu, Keya
2012
Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148
Jüngel, Ansgar; Milišić, Josipa-Pina
2011
Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction. Zbl 1330.35339
Pu, Xueke; Guo, Boling
2016
On a relativistic Fokker-Planck equation in kinetic theory. Zbl 1219.35312
Alcántara, José Antonio; Calogero, Simone
2011
A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods. Zbl 1304.35475
Koellermeier, Julian; Schaerer, Roman Pascal; Torrilhon, Manuel
2014
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
2009
Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Zbl 1195.82087
Philippe, Ghendrih; Maxime, Hauray; Nouri, Anne
2009
Numerical study of a particle method for gradient flows. Zbl 1354.65180
Carrillo, José Antonio; Huang, Yanghong; Patacchini, Francesco Saverio; Wolansky, Gershon
2017
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
2013
Confinement by biased velocity jumps: aggregation of Escherichia coli. Zbl 1337.35155
Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian
2015
A kinetic theory description of liquid menisci at the microscale. Zbl 1362.82044
Barbante, Paolo; Frezzotti, Aldo; Gibelli, Livio
2015
Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Zbl 1328.35144
Escobedo, Miguel; Tran, Minh-Binh
2015
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
2016
On Villani’s conjecture concerning entropy production for the Kac master equation. Zbl 1335.82023
Einav, Amit
2011
Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006
Frank, Martin; Hauck, Cory D.; Olbrant, Edgar
2013
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
2013
The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292
Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre
2009
A logistic equation with nonlocal interactions. Zbl 1356.35261
Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico
2017
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
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
2013
A Boltzmann-like equation for choice formation. Zbl 1180.35402
Comincioli, Valeriano; Della Croce, Lucia; Toscani, Giuseppe
2009
Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables. Zbl 1140.92002
Bournaveas, Nikolaos; Calvez, Vincent
2008
Discrete transparent boundary conditions for the Schrödinger equation – a compact higher order scheme. Zbl 1145.65058
Schulte, Maike; Arnold, Anton
2008
Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics. Zbl 1376.80002
Bisi, Marzia; Ruggeri, Tommaso; Spiga, Giampiero
2018
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
2017
On interfaces between cell populations with different mobilities. Zbl 1359.35204
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît
2017
A consistent kinetic model for a two-component mixture with an application to plasma. Zbl 1352.82009
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
2017
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
2013
Fast diffusion equations: matching large time asymptotics by relative entropy methods. Zbl 1252.35065
Dolbeault, Jean; Toscani, Giuseppe
2011
On kinetic flux vector splitting schemes for quantum Euler equations. Zbl 1220.35128
Hu, Jingwei; Jin, Shi
2011
Time evolution of a Vlasov-Poisson plasma with magnetic confinement. Zbl 1263.82052
Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo
2012
From individual to collective behaviour of coupled velocity jump processes: a locust example. Zbl 1397.60077
2012
On a family of finite-difference schemes with approximate transparent boundary conditions for a generalized 1D Schrödinger equation. Zbl 1195.65106
Ducomet, Bernard; Zlotnik, Alexander; Zlotnik, Ilya
2009
Approximate models for stochastic dynamic systems with velocities on the sphere and associated Fokker-Planck equations. Zbl 1306.82012
Klar, Axel; Schneider, Florian; Tse, Oliver
2014
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
2016
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
2016
A degenerate $$p$$-Laplacian Keller-Segel model. Zbl 1364.35162
Cong, Wenting; Liu, Jian-Guo
2016
Numerical simulation of a kinetic model for chemotaxis. Zbl 1215.92007
Vauchelet, Nicolas
2010
One-dimensional compressible Navier-Stokes equations with large density oscillation. Zbl 1283.35095
Wang, Tao; Zhao, Huijiang; Zou, Qingyang
2013
Evolutionary game theory in mixed strategies: from microscopic interactions to kinetic equations. Zbl 1471.91038
Pinasco, Juan Pablo; Cartabia, Mauro Rodriguez; Saintier, Nicolas
2021
The BGK approximation of kinetic models for traffic. Zbl 1437.90042
Herty, Michael; Puppo, Gabriella; Roncoroni, Sebastiano; Visconti, Giuseppe
2020
Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime. Zbl 1462.34100
Haskovec, Jan; Markou, Ioannis
2020
A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators. Zbl 1447.58032
Patie, Pierre; Vaidyanathan, Aditya
2020
Local well-posedness of the Boltzmann equation with polynomially decaying initial data. Zbl 1442.35288
Henderson, Christopher; Snelson, Stanley; Tarfulea, Andrei
2020
Global existence theorem for a model governing the motion of two cell populations. Zbl 1458.35084
Price, Brock C.; Xu, Xiangsheng
2020
Hypocoercivity of linear kinetic equations via Harris’s theorem. Zbl 1434.35032
Cañizo, José A.; Cao, Chuqi; Evans, Josephine; Yoldaş, Havva
2020
Kinetic models of conservative economies with need-based transfers as welfare. Zbl 1434.35247
Kayser, Kirk; Armbruster, Dieter; Herty, Michael
2020
Global analytic solutions of the semiconductor Boltzmann-Dirac-Benney equation with relaxation time approximation. Zbl 1434.35031
Braukhoff, Marcel
2020
Diffusion and kinetic transport with very weak confinement. Zbl 1434.35237
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria. Zbl 1458.35413
Nguyen, Trinh T.
2020
An anisotropic interaction model with collision avoidance. Zbl 1458.93018
Totzeck, Claudia
2020
The Neumann numerical boundary condition for transport equations. Zbl 1437.65093
Coulombel, Jean-François; Lagoutière, Frédéric
2020
A kinetic approach of the bi-temperature Euler model. Zbl 1434.82033
Brull, Stéphane; Dubroca, Bruno; Prigent, Corentin
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.
2020
Stochastic Cucker-Smale flocking dynamics of jump-type. Zbl 1437.35661
Friesen, Martin; Kutoviy, Oleksandr
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
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
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
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
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
2020
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
2019
A kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles. Zbl 1434.35248
Kim, Daewa; Quaini, Annalisa
2019
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts. Zbl 1420.35431
Bernard, Étienne; Doumic, Marie; Gabriel, Pierre
2019
On the blow-up criterion and global existence of a nonlinear PDE system in biological transport networks. Zbl 1420.35440
Li, Bin
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
2019
Sedimentation of particles in Stokes flow. Zbl 1420.35254
Mecherbet, Amina
2019
Global solution to the 3-D inhomogeneous incompressible MHD system with discontinuous density. Zbl 1410.35110
Chen, Fei; Guo, Boling; Zhai, Xiaoping
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
2019
Kinetic methods for inverse problems. Zbl 1420.35417
Herty, Michael; Visconti, Giuseppe
2019
Convergence of a vector-BGK approximation for the incompressible Navier-Stokes equations. Zbl 1410.35093
Bianchini, Roberta; Natalini, Roberto
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
2019
Semiconductor Boltzmann-Dirac-Benney equation with a BGK-type collision operator: existence of solutions vs. ill-posedness. Zbl 1428.35264
Braukhoff, Marcel
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
Differentiability in perturbation parameter of measure solutions to perturbed transport equation. Zbl 1420.35448
Gwiazda, Piotr; Hille, Sander C.; Łyczek, Kamila; Świerczewska-Gwiazda, Agnieszka
2019
Sonic-supersonic solutions for the two-dimensional pseudo-steady full Euler equations. Zbl 1437.35487
Hu, Yanbo; Li, Tong
2019
Mean-field limit of a spatially-extended Fitzhugh-Nagumo neural network. Zbl 1432.92003
Crevat, Joachim
2019
Cucker-Smale flocking particles with multiplicative noises: stochastic mean-field limit and phase transition. Zbl 1420.60066
Choi, Young-Pil; Salem, Samir
2019
Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations. Zbl 1420.35413
Herda, Maxime; Rodrigues, Luis Miguel
2019
Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation. Zbl 1420.35177
Wang, Teng; Wang, Yi
2019
Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case. Zbl 1420.35111
Cattiaux, Patrick; Nasreddine, Elissar; Puel, Marjolaine
2019
Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation. Zbl 1434.65183
Henning, Patrick; Wärnegård, Johan
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
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
2019
A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598
Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw
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
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
2019
Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws. Zbl 1421.35214
Nakamura, Kenta; Nakamura, Tohru; Kawashima, Shuichi
2019
Diffusion limit for a kinetic equation with a thermostatted interface. Zbl 1420.60043
Basile, Giada; Komorowski, Tomasz; Olla, Stefano
2019
Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks. Zbl 07027327
Pogan, Alin; Zumbrun, Kevin
2019
A stochastic algorithm without time discretization error for the Wigner equation. Zbl 1410.82024
Muscato, Orazio; Wagner, Wolfgang
2019
Kinetic models and intrinsic timescales: simulation comparison for a 2nd order queueing model. Zbl 1406.60126
Armbruster, Dieter; Wienke, Matthew
2019
Memory effects in measure transport equations. Zbl 1430.35247
Camilli, Fabio; De Maio, Raul
2019
Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D. Zbl 1420.35412
Hauray, Maxime; Salem, Samir
2019
Multiple large-time behavior of nonlocal interaction equations with quadratic diffusion. Zbl 1421.35026
Di Francesco, Marco; Jaafra, Yahya
2019
On a Boltzmann equation for Haldane statistics. Zbl 1421.82018
Arkeryd, Leif; Nouri, Anne
2019
Non-uniqueness of weak solutions of the quantum-hydrodynamic system. Zbl 1421.35004
Markowich, Peter; Sierra, Jesús
2019
Fully conservative spectral Galerkin-Petrov method for the inhomogeneous Boltzmann equation. Zbl 1421.82032
Keßler, Torsten; Rjasanow, Sergej
2019
The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation. Zbl 1423.34020
Banasiak, Jacek; Joel, Luke O.; Shindin, Sergey
2019
Uniform estimates on the Fisher information for solutions to Boltzmann and Landau equations. Zbl 1420.35170
Alonso, Ricardo J.; Bagland, Véronique; Lods, Bertrand
2019
Numerical solutions for multidimensional fragmentation problems using finite volume methods. Zbl 1407.45007
Saha, Jitraj; Das, Nilima; Kumar, Jitendra; Bück, Andreas
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
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
2018
Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics. Zbl 1376.80002
Bisi, Marzia; Ruggeri, Tommaso; Spiga, Giampiero
2018
Local sensitivity analysis for the Cucker-Smale model with random inputs. Zbl 1457.92198
Ha, Seung-Yeal; Jin, Shi
2018
Regularity theorems for a biological network formulation model in two space dimensions. Zbl 1408.35200
Xu, Xiangsheng
2018
A general consistent BGK model for gas mixtures. Zbl 1405.76042
Bobylev, Alexander V.; Bisi, Marzia; Groppi, Maria; Spiga, Giampiero; Potapenko, Irina F.
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
2018
Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030
Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo
2018
Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. Zbl 1407.82039
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L.
2018
On multi-dimensional hypocoercive BGK models. Zbl 1405.82023
Achleitner, Franz; Arnold, Anton; Carlen, Eric A.
2018
Non-contraction of intermediate admissible discontinuities for 3-D planar isentropic magnetohydrodynamics. Zbl 1377.35198
Kang, Moon-Jin
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
2018
A non-relativistic model of plasma physics containing a radiation reaction term. Zbl 1379.35315
Bauer, Sebastian
2018
Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium. Zbl 1379.35314
Kovtunenko, Victor A.; Zubkova, Anna V.
2018
Kinetic description of collision avoidance in pedestrian crowds by sidestepping. Zbl 1405.35128
Festa, Adriano; Tosin, Andrea; Wolfram, Marie-Therese
2018
Long time strong convergence to Bose-Einstein distribution for low temperature. Zbl 1405.82027
Lu, Xuguang
2018
Fractional diffusion limits of non-classical transport equations. Zbl 1405.82013
Frank, Martin; Sun, Weiran
2018
Hypocoercive estimates on foliations and velocity spherical Brownian motion. Zbl 1374.60150
Baudoin, Fabrice; Tardif, Camille
2018
Incompressible limit of isentropic Navier-Stokes equations with Navier-slip boundary. Zbl 1405.35144
Xiong, Linjie
2018
Propagation of stretched exponential moments for the Kac equation and Boltzmann equation with Maxwell molecules. Zbl 1405.35131
Pavić-Čolić, Milana; Tasković, Maja
2018
Macroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities. Zbl 1405.60147
Komorowski, Tomasz; Olla, Stefano; Simon, Marielle
2018
Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes. Zbl 1405.65093
Bao, Weizhu; Su, Chunmei
2018
Boundary layers and stabilization of the singular Keller-Segel system. Zbl 1405.92033
Peng, Hongyun; Wang, Zhi-An; Zhao, Kun; Zhu, Changjiang
2018
Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling. Zbl 1408.37138
Liu, Liu
2018
On global solutions to the Vlasov-Poisson system with radiation damping. Zbl 1405.35217
Xiao, Meixia; Zhang, Xianwen
2018
Lagrangian solutions to the Vlasov-Poisson system with a point charge. Zbl 1405.35215
Crippa, Gianluca; Ligabue, Silvia; Saffirio, Chiara
2018
Numerical study of an anisotropic Vlasov equation arising in plasma physics. Zbl 1405.82031
Fedele, Baptiste; Negulescu, Claudia
2018
Local well-posedness of the full compressible Navier-Stokes-Maxwell system with vacuum. Zbl 1375.35315
Fan, Jishan; Jia, Yueling
2018
The derivation of the linear Boltzmann equation from a Rayleigh gas particle model. Zbl 1376.82084
Matthies, Karsten; Stone, George; Theil, Florian
2018
Invariant measures for a stochastic Fokker-Planck equation. Zbl 1405.60089
De Moor, Sylvain; Rodrigues, Luis Miguel; Vovelle, Julien
2018
Wall effect on the motion of a rigid body immersed in a free molecular flow. Zbl 1405.35216
Koike, Kai
2018
Landau damping in the multiscale Vlasov theory. Zbl 1412.82035
Grmela, Miroslav; Pavelka, Michal
2018
High order approximation for the Boltzmann equation without angular cutoff. Zbl 1405.35129
He, Lingbing; Zhou, Yulong
2018
On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases. Zbl 1405.76041
Baranger, Céline; Bisi, Marzia; Brull, Stéphane; Desvillettes, Laurent
2018
A deterministic-stochastic method for computing the Boltzmann collision integral in $$\mathcal{O}(MN)$$ operations. Zbl 1405.76040
Alekseenko, Alexander; Nguyen, Truong; Wood, Aihua
2018
Asymptotic behavior of the compressible non-isentropic Navier-Stokes-Maxwell system in $$\mathbb{R}^3$$. Zbl 1375.35402
Tan, Zhong; Tong, Leilei
2018
Kinetic limit for a harmonic chain with a conservative Ornstein-Uhlenbeck stochastic perturbation. Zbl 1405.82030
Komorowski, Tomasz; Stȩpień, Łukasz
2018
A Vlasov-Poisson plasma of infinite mass with a point charge. Zbl 1405.82033
Li, Gang; Zhang, Xianwen
2018
On a Fokker-Planck equation for wealth distribution. Zbl 1405.91180
Torregrossa, Marco; Toscani, Giuseppe
2018
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#### Cited by 2,509 Authors

 83 Ha, Seung-Yeal 49 Carrillo de la Plata, José Antonio 37 Choi, Young-Pil 30 Degond, Pierre 27 Bellomo, Nicola 27 Yang, Tong 25 Yun, Seok-Bae 24 Zhao, Huijiang 23 Morimoto, Yoshinori 22 Fan, Jishan 22 Jin, Shi 22 Zhou, Yong 21 Liu, Jianguo 20 Duan, Renjun 18 Toscani, Giuseppe 17 Bao, Weizhu 17 Kang, Moon-Jin 17 Kim, Jeongho 17 Pareschi, Lorenzo 17 Zhang, Xiongtao 16 Antoine, Xavier 16 Dimarco, Giacomo 16 Klar, Axel 16 Wang, Yi 16 Xiao, Qinghua 16 Xu, Chao-Jiang 16 Yamazaki, Kazuo 15 Kim, Doheon 15 Liu, Shuangqian 14 Herty, Michael Matthias 14 Jüngel, Ansgar 14 Perthame, Benoît 14 Wang, Yuzhu 13 Crouseilles, Nicolas 13 Desvillettes, Laurent 13 Gala, Sadek 13 Tadmor, Eitan 13 Tan, Zhong 13 Tosin, Andrea 13 Zhang, Xianwen 13 Zhu, Mingxuan 13 Zlotnik, Alexander A. 12 Bisi, Marzia 12 Brull, Stephane 12 Cañizo, José Alfredo 12 Goudon, Thierry 12 Han-Kwan, Daniel 12 Lian, Ruxu 12 Ragusa, Maria Alessandra 12 Salvarani, Francesco 12 Soler, Juan S. 12 Vauchelet, Nicolas 12 Wang, Tingchun 12 Wolfram, Marie-Therese 12 Zanella, Mattia 11 Dolbeault, Jean 11 Hu, Yanbo 11 Jabin, Pierre-Emmanuel 11 Mischler, Stéphane 11 Pu, Xueke 11 Tan, Changhui 11 Tran, Minh-Binh 11 Wang, Yinxia 11 Zhang, Zujin 11 Zhao, Xiaofei 10 Cai, Yongyong 10 Fellner, Klemens 10 Gabriel, Pierre 10 Martínez Gamba, Irene 10 Jung, Jinwook 10 Kawashima, Shuichi 10 Kim, Dohyun 10 Knopoff, Damian A. 10 Lemou, Mohammed 10 Li, Fucai 10 Li, Ruo 10 Lods, Bertrand 10 Marchioro, Carlo 10 Pinaud, Olivier 10 Ruggeri, Tommaso 10 Strain, Robert M. 10 Tang, Qinglin 10 Vasseur, Alexis F. 9 Bae, Hyeong-Ohk 9 Chae, Dongho 9 Dong, Jiu-Gang 9 Filbet, Francis 9 Göttlich, Simone 9 Huang, Feimin 9 Ko, Dongnam 9 Lachowicz, Mirosław 9 Lei, Yuanjie 9 Mu, Chunlai 9 Muscato, Orazio 9 Nakamura, Gen 9 Schneider, Florian H. 9 Sun, Weiran 9 Wang, Li 9 Zeng, Xiaoyu 8 Briant, Marc ...and 2,409 more Authors
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#### Cited in 292 Journals

 151 Kinetic and Related Models 147 Journal of Differential Equations 130 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 93 SIAM Journal on Mathematical Analysis 88 Journal of Mathematical Analysis and Applications 86 Journal of Computational Physics 81 Journal of Statistical Physics 64 Archive for Rational Mechanics and Analysis 54 ZAMP. Zeitschrift für angewandte Mathematik und Physik 50 Journal of Mathematical Physics 48 Communications in Mathematical Physics 47 Nonlinear Analysis. Real World Applications 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 Discrete and Continuous Dynamical Systems 42 Applied Mathematics Letters 38 Discrete and Continuous Dynamical Systems. Series B 34 Multiscale Modeling & Simulation 33 Computers & Mathematics with Applications 31 Acta Applicandae Mathematicae 29 Applied Mathematics and Computation 29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 Journal of Functional Analysis 28 Communications on Pure and Applied Analysis 26 Journal of Mathematical Fluid Mechanics 25 Networks and Heterogeneous Media 24 Journal of Scientific Computing 23 SIAM Journal on Applied Mathematics 23 SIAM Journal on Scientific Computing 22 Mathematical Methods in the Applied Sciences 22 Nonlinearity 21 Journal of Mathematical Biology 20 SIAM Journal on Numerical Analysis 20 Physica D 20 Communications in Partial Differential Equations 19 Applicable Analysis 19 Journal of Fluid Mechanics 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Calculus of Variations and Partial Differential Equations 17 Communications in Computational Physics 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Quarterly of Applied Mathematics 15 Mathematical Biosciences and Engineering 14 Journal of Nonlinear Science 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Applied Numerical Mathematics 13 Analysis and Applications (Singapore) 13 Journal of Hyperbolic Differential Equations 13 Science China. Mathematics 12 Advances in Mathematics 12 Journal of Computational and Applied Mathematics 12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 11 Boundary Value Problems 11 Séminaire Laurent Schwartz. EDP et Applications 10 Mathematics and Computers in Simulation 10 Acta Mathematicae Applicatae Sinica. English Series 10 SIAM Journal on Applied Dynamical Systems 9 Ricerche di Matematica 9 Mathematical and Computer Modelling 9 Journal of Dynamics and Differential Equations 9 NoDEA. Nonlinear Differential Equations and Applications 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Journal of Evolution Equations 8 Bulletin of Mathematical Biology 8 Numerische Mathematik 8 Discrete and Continuous Dynamical Systems. Series S 8 Communications in Applied and Industrial Mathematics 7 The Annals of Applied Probability 7 Continuum Mechanics and Thermodynamics 7 Advances in Mathematical Physics 6 Computers and Fluids 6 Computer Methods in Applied Mechanics and Engineering 6 Physica A 6 Mathematics of Computation 6 The Annals of Probability 6 Proceedings of the American Mathematical Society 6 Applied Mathematical Modelling 6 Abstract and Applied Analysis 6 Journal of Theoretical Biology 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 SIAM Journal on Control and Optimization 5 Chinese Annals of Mathematics. Series B 5 Numerical Methods for Partial Differential Equations 5 Stochastic Processes and their Applications 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 European Journal of Mechanics. B. Fluids 5 Communications in Nonlinear Science and Numerical Simulation 5 Annales Henri Poincaré 5 Journal de l’École Polytechnique – Mathématiques 4 Computer Physics Communications 4 Reports on Mathematical Physics 4 Inventiones Mathematicae 4 European Journal of Applied Mathematics 4 The Journal of Geometric Analysis 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of Mathematical Sciences (New York) 4 Electronic Journal of Differential Equations (EJDE) 4 Advances in Computational Mathematics 4 Vietnam Journal of Mathematics ...and 192 more Journals
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#### Cited in 50 Fields

 1,934 Partial differential equations (35-XX) 916 Fluid mechanics (76-XX) 753 Statistical mechanics, structure of matter (82-XX) 463 Numerical analysis (65-XX) 422 Biology and other natural sciences (92-XX) 184 Probability theory and stochastic processes (60-XX) 117 Ordinary differential equations (34-XX) 110 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 92 Quantum theory (81-XX) 78 Dynamical systems and ergodic theory (37-XX) 76 Operator theory (47-XX) 75 Integral equations (45-XX) 68 Operations research, mathematical programming (90-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 59 Mechanics of deformable solids (74-XX) 56 Optics, electromagnetic theory (78-XX) 54 Classical thermodynamics, heat transfer (80-XX) 53 Mechanics of particles and systems (70-XX) 41 Systems theory; control (93-XX) 35 Relativity and gravitational theory (83-XX) 28 Functional analysis (46-XX) 27 Real functions (26-XX) 20 Global analysis, analysis on manifolds (58-XX) 20 Geophysics (86-XX) 18 Statistics (62-XX) 18 Astronomy and astrophysics (85-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Information and communication theory, circuits (94-XX) 13 Difference and functional equations (39-XX) 13 Approximations and expansions (41-XX) 13 Computer science (68-XX) 10 Measure and integration (28-XX) 10 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 5 Integral transforms, operational calculus (44-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)