## 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/1937-5093http://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.
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### Latest Issues

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### 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
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### 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)

### 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
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
A review of the mean field limits for Vlasov equations. Zbl 1318.35129
Jabin, Pierre-Emmanuel
2014
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
Cucker-Smale model with normalized communication weights and time delay. Zbl 1357.34024
2017
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
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
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
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357
Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo
2008
Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics. Zbl 1372.76090
Russo, Giovanni; Filbet, Francis
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
2018
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system. Zbl 1252.65157
Ayuso, Blanca; Carrillo, José A.; Shu, Chi-Wang
2011
A review of Boltzmann equation with singular kernels. Zbl 1193.35121
2009
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
Vision-based macroscopic pedestrian models. Zbl 1426.76051
Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy
2013
Decay property for a plate equation with memory-type dissipation. Zbl 1225.35150
Liu, Yongqin; Kawashima, Shuichi
2011
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
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
2013
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
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
2013
Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-$$\alpha$$-MHD model. Zbl 1189.35250
Fan, Jishan; Ozawa, Tohru
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
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
2013
Orientation waves in a director field with rotational inertia. Zbl 1180.35010
Alì, Giuseppe; Hunter, John K.
2009
Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations. Zbl 1282.35296
Fan, Jishan; Fukumoto, Yasuhide; Zhou, Yong
2013
Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles. Zbl 1317.65212
Crestetto, Anaïs; Crouseilles, Nicolas; Lemou, Mohammed
2012
Time asymptotics for a critical case in fragmentation and growth-fragmentation equations. Zbl 1332.35365
Doumic, Marie; Escobedo, Miguel
2016
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François
2011
Coordinates in the relativistic Boltzmann theory. Zbl 1429.76094
Strain, Robert M.
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
2016
Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics. Zbl 1227.35073
Suzuki, Masahiro
2011
Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac’s equation. Zbl 1194.35089
2009
Local Hilbert expansion for the Boltzmann equation. Zbl 1372.76089
Guo, Yan; Jang, Juhi; Jiang, Ning
2009
Diffusion asymptotics of a kinetic model for gaseous mixtures. Zbl 1260.35100
Boudin, Laurent; Grec, Bérénice; Pavić, Milana; Salvarani, Francesco
2013
Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type. Zbl 1208.92096
Agueh, Martial; Illner, Reinhard; Richardson, Ashlin
2011
Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
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
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
2010
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
Numerical study of a particle method for gradient flows. Zbl 1354.65180
Carrillo, José Antonio; Huang, Yanghong; Patacchini, Francesco Saverio; Wolansky, Gershon
2017
On hyperbolicity of 13-moment system. Zbl 1304.82063
Cai, Zhenning; Fan, Yuwei; Li, Ruo
2014
A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods. Zbl 1304.35475
Koellermeier, Julian; Schaerer, Roman Pascal; Torrilhon, Manuel
2014
Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266
Lannes, David; Saut, Jean-Claude
2013
Large-time decay of the soft potential relativistic Boltzmann equation in $$\mathbb{R}^3_x$$. Zbl 1247.76071
Strain, Robert M.; Zhu, Keya
2012
Spectral decompositions and $$\mathbb{L}^2$$-operator norms of toy hypocoercive semi-groups. Zbl 1262.35134
2013
Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064
Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric
2011
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
2009
A remark on Cannone-Karch solutions to the homogeneous Boltzmann equation for Maxwellian molecules. Zbl 1255.35177
Morimoto, Yoshinori
2012
Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior. Zbl 1250.35166
Schaeffer, Jack
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
2011
A logistic equation with nonlocal interactions. Zbl 1356.35261
Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico
2017
On interfaces between cell populations with different mobilities. Zbl 1359.35204
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît
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
2016
Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics. Zbl 1376.80002
Bisi, Marzia; Ruggeri, Tommaso; Spiga, Giampiero
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.
2017
Confinement by biased velocity jumps: aggregation of Escherichia coli. Zbl 1337.35155
Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian
2015
Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Zbl 1195.82087
Philippe, Ghendrih; Maxime, Hauray; Nouri, Anne
2009
On the plasma-charge model. Zbl 1193.82045
Caprino, Silvia; Marchioro, Carlo
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
2013
Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Zbl 1255.82065
Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella
2012
Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356
Degond, Pierre; Delitala, Marcello
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
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 kinetic theory description of liquid menisci at the microscale. Zbl 1362.82044
Barbante, Paolo; Frezzotti, Aldo; Gibelli, Livio
2015
Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction. Zbl 1330.35339
Pu, Xueke; Guo, Boling
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
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
2013
On a relativistic Fokker-Planck equation in kinetic theory. Zbl 1219.35312
Alcántara, José Antonio; Calogero, Simone
2011
On Villani’s conjecture concerning entropy production for the Kac master equation. Zbl 1335.82023
Einav, Amit
2011
The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292
Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre
2009
Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006
Frank, Martin; Hauck, Cory D.; Olbrant, Edgar
2013
Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148
Jüngel, Ansgar; Milišić, Josipa-Pina
2011
Explicit equilibrium solutions for the aggregation equation with power-law potentials. Zbl 1354.45001
Carrillo, José A.; Huang, Yanghong
2017
Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Zbl 1328.35144
Escobedo, Miguel; Tran, Minh-Binh
2015
Entropy production for ellipsoidal BGK model of the Boltzmann equation. Zbl 1358.35083
Yun, Seok-Bae
2016
A degenerate $$p$$-Laplacian Keller-Segel model. Zbl 1364.35162
Cong, Wenting; Liu, Jian-Guo
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 kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles. Zbl 1434.35248
Kim, Daewa; Quaini, Annalisa
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
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
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
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
2017
Time decay of solutions to the compressible Euler equations with damping. Zbl 1318.35072
Chen, Qing; Tan, Zhong
2014
On kinetic flux vector splitting schemes for quantum Euler equations. Zbl 1220.35128
Hu, Jingwei; Jin, Shi
2011
A Boltzmann-like equation for choice formation. Zbl 1180.35402
Comincioli, Valeriano; Della Croce, Lucia; Toscani, Giuseppe
2009
Time evolution of a Vlasov-Poisson plasma with magnetic confinement. Zbl 1263.82052
Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo
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
2019
Second order all speed method for the isentropic Euler equations. Zbl 1366.76065
Tang, Min
2012
Opinion formation systems via deterministic particles approximation. Zbl 07411816
2021
Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds. Zbl 1476.35190
Ahn, Hyunjin; Ha, Seung-Yeal; Shim, Woojoo
2021
Relativistic BGK model for massless particles in the FLRW spacetime. Zbl 1484.76096
Hwang, Byung-Hoon; Lee, Ho; Yun, Seok-Bae
2021
Superposition principle and schemes for measure differential equations. Zbl 1475.35379
Camilli, Fabio; Cavagnari, Giulia; Maio, Raul De; Piccoli, Benedetto
2021
Evolutionary game theory in mixed strategies: from microscopic interactions to kinetic equations. Zbl 1471.91038
Pinasco, Juan Pablo; Cartabia, Mauro Rodriguez; Saintier, Nicolas
2021
Collisional sheath solutions of a bi-species Vlasov-Poisson-Boltzmann boundary value problem. Zbl 1471.35272
2021
Diffusion limit of the Vlasov-Poisson-Boltzmann system. Zbl 1479.76121
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
2021
A general way to confined stationary Vlasov-Poisson plasma configurations. Zbl 1476.35273
Belyaeva, Yulia O.; Gebhard, Björn; Skubachevskii, Alexander L.
2021
Projective integration schemes for hyperbolic moment equations. Zbl 1479.76070
Koellermeier, Julian; Samaey, Giovanni
2021
On group symmetries of the hydrodynamic equations for rarefied gas. Zbl 1476.35194
Bobylev, Alexander V.; Meleshko, Sergey V.
2021
Incompressible Navier-Stokes-Fourier limit from the Landau equation. Zbl 1476.35165
2021
A spectral study of the linearized Boltzmann operator in $$L^2$$-spaces with polynomial and Gaussian weights. Zbl 1477.35112
Gervais, Pierre
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
2021
Boltzmann-type equations for multi-agent systems with label switching. Zbl 1476.35164
2021
BGK models for inert mixtures: comparison and applications. Zbl 07451612
Boscarino, Sebastiano; Cho, Seung Yeon; Groppi, Maria; Russo, Giovanni
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
2020
Local well-posedness of the Boltzmann equation with polynomially decaying initial data. Zbl 1442.35288
Henderson, Christopher; Snelson, Stanley; Tarfulea, Andrei
2020
Diffusion and kinetic transport with very weak confinement. Zbl 1434.35237
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
Cercignani-Lampis boundary in the Boltzmann theory. Zbl 1447.76029
Chen, Hongxu
2020
Hypocoercivity of linear kinetic equations via Harris’s theorem. Zbl 1434.35032
Cañizo, José A.; Cao, Chuqi; Evans, Josephine; Yoldaş, Havva
2020
A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators. Zbl 1447.58032
2020
A semigroup approach to the convergence rate of a collisionless gas. Zbl 1464.35277
Bernou, Armand
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
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
Stochastic Cucker-Smale flocking dynamics of jump-type. Zbl 1437.35661
Friesen, Martin; Kutoviy, Oleksandr
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
Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules. Zbl 1451.35154
Morimoto, Yoshinori; Xu, Chao-Jiang
2020
Confined steady states of the relativistic Vlasov-Maxwell system in an infinitely long cylinder. Zbl 1453.35164
Weber, Jörg
2020
Global existence theorem for a model governing the motion of two cell populations. Zbl 1458.35084
Price, Brock C.; Xu, Xiangsheng
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
Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium. Zbl 1434.35229
Bernier, Joackim; Mehrenberger, Michel
2020
On Fokker-Planck equations with in- and outflow of mass. Zbl 1437.35666
Burger, Martin; Humpert, Ina; Pietschmann, Jan-Frederik
2020
Trend to the equilibrium for the Fokker-Planck system with an external magnetic field. Zbl 1473.35572
Karaki, Zeinab
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
A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions. Zbl 1446.65128
Hu, Jingwei; Shen, Jie; Wang, Yingwei
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
Kinetic formulation of a $$2 \times 2$$ hyperbolic system arising in gas chromatography. Zbl 1451.35088
Bourdarias, Christian; Gisclon, Marguerite; Junca, Stéphane
2020
Stability of a non-local kinetic model for cell migration with density dependent orientation bias. Zbl 1448.35355
2020
Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off. Zbl 1451.35101
Li, Wei-Xi; Liu, Lvqiao
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
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
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
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts. Zbl 1420.35431
Bernard, Étienne; Doumic, Marie; Gabriel, Pierre
2019
Kinetic methods for inverse problems. Zbl 1420.35417
Herty, Michael; Visconti, Giuseppe
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
Sedimentation of particles in Stokes flow. Zbl 1420.35254
Mecherbet, Amina
2019
On the blow-up criterion and global existence of a nonlinear PDE system in biological transport networks. Zbl 1420.35440
Li, Bin
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
Cucker-Smale flocking particles with multiplicative noises: stochastic mean-field limit and phase transition. Zbl 1420.60066
Choi, Young-Pil; Salem, Samir
2019
Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation. Zbl 1420.35177
Wang, Teng; Wang, Yi
2019
Sonic-supersonic solutions for the two-dimensional pseudo-steady full Euler equations. Zbl 1437.35487
Hu, Yanbo; Li, Tong
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
Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations. Zbl 1420.35413
Herda, Maxime; Rodrigues, Luis Miguel
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
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
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
Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation. Zbl 1434.65183
Henning, Patrick; Wärnegård, Johan
2019
Multiple large-time behavior of nonlocal interaction equations with quadratic diffusion. Zbl 1421.35026
Di Francesco, Marco; Jaafra, Yahya
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
A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598
Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw
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
Diffusion limit for a kinetic equation with a thermostatted interface. Zbl 1420.60043
Basile, Giada; Komorowski, Tomasz; Olla, Stefano
2019
Mean-field limit of a spatially-extended Fitzhugh-Nagumo neural network. Zbl 1432.92003
Crevat, Joachim
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
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
Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws. Zbl 1421.35214
Nakamura, Kenta; Nakamura, Tohru; Kawashima, Shuichi
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
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
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
Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D. Zbl 1420.35412
Hauray, Maxime; Salem, Samir
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
Numerical solutions for multidimensional fragmentation problems using finite volume methods. Zbl 1407.45007
Saha, Jitraj; Das, Nilima; Kumar, Jitendra; Bück, Andreas
2019
Memory effects in measure transport equations. Zbl 1430.35247
Camilli, Fabio; De Maio, Raul
2019
A note on two species collisional plasma in bounded domains. Zbl 1434.35033
Cao, Yunbai
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
A general consistent BGK model for gas mixtures. Zbl 1405.76042
Bobylev, Alexander V.; Bisi, Marzia; Groppi, Maria; Spiga, Giampiero; Potapenko, Irina F.
2018
Regularity theorems for a biological network formulation model in two space dimensions. Zbl 1408.35200
Xu, Xiangsheng
2018
Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030
Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo
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 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
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
...and 357 more Documents
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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. ...and 2,716 more Authors
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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 ...and 210 more Journals
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### Cited in 50 Fields

 2,204 Partial differential equations (35-XX) 1,038 Fluid mechanics (76-XX) 870 Statistical mechanics, structure of matter (82-XX) 539 Numerical analysis (65-XX) 473 Biology and other natural sciences (92-XX) 214 Probability theory and stochastic processes (60-XX) 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) 81 Calculus of variations and optimal control; optimization (49-XX) 79 Operations research, mathematical programming (90-XX) 67 Mechanics of deformable solids (74-XX) 67 Optics, electromagnetic theory (78-XX) 59 Classical thermodynamics, heat transfer (80-XX) 54 Mechanics of particles and systems (70-XX) 49 Systems theory; control (93-XX) 41 Relativity and gravitational theory (83-XX) 35 Real functions (26-XX) 30 Functional analysis (46-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Statistics (62-XX) 22 Geophysics (86-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 Astronomy and astrophysics (85-XX) 19 Computer science (68-XX) 17 Information and communication theory, circuits (94-XX) 15 Approximations and expansions (41-XX) 13 Difference and functional equations (39-XX) 12 General and overarching topics; collections (00-XX) 11 Measure and integration (28-XX) 11 Special functions (33-XX) 8 Combinatorics (05-XX) 8 Differential geometry (53-XX) 6 Integral transforms, operational calculus (44-XX) 6 General topology (54-XX) 5 Functions of a complex variable (30-XX) 4 Convex and discrete geometry (52-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Sequences, series, summability (40-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Mathematics education (97-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)