Kinetic and Related Models Short Title: Kinet. Relat. Models Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1937-5093; 1937-5077/e Online: https://www.aimsciences.org/krm Comments: Indexed cover-to-cover Documents Indexed: 616 Publications (since 2008) References Indexed: 357 Publications with 10,795 References. all top 5 Latest Issues 15, No. 6 (2022) 15, No. 5 (2022) 15, No. 4 (2022) 15, No. 3 (2022) 15, No. 2 (2022) 15, No. 1 (2022) 14, No. 6 (2021) 14, No. 5 (2021) 14, No. 4 (2021) 14, No. 3 (2021) 14, No. 2 (2021) 14, No. 1 (2021) 13, No. 6 (2020) 13, No. 5 (2020) 13, No. 4 (2020) 13, No. 3 (2020) 13, No. 2 (2020) 13, No. 1 (2020) 12, No. 6 (2019) 12, No. 5 (2019) 12, No. 4 (2019) 12, No. 3 (2019) 12, No. 2 (2019) 12, No. 1 (2019) 11, No. 6 (2018) 11, No. 5 (2018) 11, No. 4 (2018) 11, No. 3 (2018) 11, No. 2 (2018) 11, No. 1 (2018) 10, No. 4 (2017) 10, No. 3 (2017) 10, No. 2 (2017) 10, No. 1 (2017) 9, No. 4 (2016) 9, No. 3 (2016) 9, No. 2 (2016) 9, No. 1 (2016) 8, No. 4 (2015) 8, No. 3 (2015) 8, No. 2 (2015) 8, No. 1 (2015) 7, No. 4 (2014) 7, No. 3 (2014) 7, No. 2 (2014) 7, No. 1 (2014) 6, No. 4 (2013) 6, No. 3 (2013) 6, No. 2 (2013) 6, No. 1 (2013) 5, No. 4 (2012) 5, No. 3 (2012) 5, No. 2 (2012) 5, No. 1 (2012) 4, No. 4 (2011) 4, No. 3 (2011) 4, No. 2 (2011) 4, No. 1 (2011) 3, No. 4 (2010) 3, No. 3 (2010) 3, No. 2 (2010) 3, No. 1 (2010) 2, No. 4 (2009) 2, No. 3 (2009) 2, No. 2 (2009) 2, No. 1 (2009) 1, No. 4 (2008) 1, No. 3 (2008) 1, No. 2 (2008) 1, No. 1 (2008) all top 5 Authors 13 Carrillo de la Plata, José Antonio 12 Ha, Seung-Yeal 11 Herty, Michael Matthias 10 Degond, Pierre 9 Jin, Shi 9 Schmeiser, Christian 9 Toscani, Giuseppe 9 Xu, Chao-Jiang 9 Yang, Tong 8 Bisi, Marzia 8 Bobylev, Alexandre Vasiljévitch 8 Morimoto, Yoshinori 8 Nouri, Anne 7 Alexandre, Radjesvarane 7 Aoki, Kazuo 7 Brull, Stephane 7 Esposito, Raffaele 7 Guo, Yan 7 Tan, Zhong 6 Arkeryd, Leif O. 6 Fan, Jishan 6 Golse, François 6 Spiga, Giampiero 6 Zhao, Huijiang 5 Ben Abdallah, Naoufel 5 Burger, Martin 5 Choi, Young-Pil 5 Crouseilles, Nicolas 5 Desvillettes, Laurent 5 Groppi, Maria 5 Illner, Reinhard 5 Jüngel, Ansgar 5 Kawashima, Shuichi 5 Komorowski, Tomasz 5 Lemou, Mohammed 5 Liu, Jianguo 5 Marra, Rossana 5 Nakamura, Tohru 5 Pankavich, Stephen 5 Ukai, Seiji 5 Wagner, Wolfgang 4 Arnold, Anton 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 Marchioro, Carlo 4 Markowich, Peter Alexander 4 Méhats, Florian 4 Negulescu, Claudia 4 Nguyen, Toan Trong 4 Perthame, Benoît 4 Salvarani, Francesco 4 Schaeffer, Jack W. 4 Schneider, Florian H. 4 Strain, Robert M. 4 Strauss, Walter Alexander 4 Tosin, Andrea 4 Wolfram, Marie-Therese 4 Yun, Seok-Bae 4 Zhang, Xiongtao 4 Zlotnik, Alexander A. 4 Zumbrun, Kevin R. 3 Armbruster, Dieter 3 Bal, Guillaume 3 Banasiak, Jacek 3 Bao, Weizhu 3 Bardos, Claude Williams 3 Barletti, Luigi 3 Bellomo, Nicola 3 Bernhoff, Niclas 3 Calvez, Vincent 3 Carlen, Eric Anders 3 Chen, Hua 3 Chertock, Alina E. 3 Fournier, Nicolas 3 Giovangigli, Vincent 3 Giri, Ankik Kumar 3 Göttlich, Simone 3 Guo, Boling 3 Hittmeir, Sabine 3 Hu, Jingwei 3 Kumar, Jitendra 3 Li, Hailiang 3 Liu, Shuangqian 3 Liu, Yongqin 3 Lods, Bertrand 3 Mouhot, Clément 3 Nguyen, Truyen Van 3 Niethammer, Barbara 3 Pareschi, Lorenzo 3 Parisot, Martin ...and 742 more Authors all top 5 Fields 480 Partial differential equations (35-XX) 287 Statistical mechanics, structure of matter (82-XX) 223 Fluid mechanics (76-XX) 95 Numerical analysis (65-XX) 74 Biology and other natural sciences (92-XX) 46 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) 21 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) 16 Operations research, mathematical programming (90-XX) 14 Mechanics of deformable solids (74-XX) 14 Optics, electromagnetic theory (78-XX) 12 Relativity and gravitational theory (83-XX) 10 Astronomy and astrophysics (85-XX) 9 Real functions (26-XX) 9 Approximations and expansions (41-XX) 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 History and biography (01-XX) 4 Difference and functional equations (39-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 General topology (54-XX) 2 Statistics (62-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 470 Publications have been cited 4,456 times in 3,190 Documents Cited by ▼ Year ▼ From particle to kinetic and hydrodynamic descriptions of flocking. Zbl 1402.76108Ha, Seung-Yeal; Tadmor, Eitan 254 2008 Mathematical theory and numerical methods for Bose-Einstein condensation. Zbl 1266.82009Bao, Weizhu; Cai, Yongyong 203 2013 Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 133 2011 Double milling in self-propelled swarms from kinetic theory. Zbl 1195.92069Carrillo, José A.; D’Orsogna, M. R.; Panferov, V. 103 2009 On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping 70 2012 Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system. Zbl 1215.35127Carrillo, José A.; Duan, Renjun; Moussa, Ayman 56 2011 A review of the mean field limits for Vlasov equations. Zbl 1318.35129Jabin, Pierre-Emmanuel 55 2014 Cucker-Smale model with normalized communication weights and time delay. Zbl 1357.34024Choi, Young-Pil; Haskovec, Jan 49 2017 The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440Jiu, Quansen; Xin, Zhouping 46 2008 On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea 42 2013 Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong 41 2008 Optimal time decay of the non cut-off Boltzmann equation in the whole space. Zbl 1383.76414Strain, Robert M. 38 2012 Entropy and chaos in the Kac model. Zbl 1186.76675Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric 38 2010 Regularity criteria for the 3D MHD equations via partial derivatives. II. Zbl 1304.35549Jia, Xuanji; Zhou, Yong 35 2014 An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations: diffusion and high-field scaling limits. Zbl 1222.82077Crouseilles, Nicolas; Lemou, Mohammed 35 2011 Fluid dynamic limit to the Riemann solutions of Euler equations. I: Superposition of rarefaction waves and contact discontinuity. Zbl 1209.35098Huang, Feimin; Wang, Yi; Yang, Tong 35 2010 Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force. Zbl 1292.35295Duan, Renjun; Liu, Shuangqian 34 2013 Regularity criteria for the 3D MHD equations via partial derivatives. Zbl 1254.35192Jia, Xuanji; Zhou, Yong 34 2012 Uniform stability of the Cucker-Smale model and its application to the mean-field limit. Zbl 1409.34046Ha, Seung-Yeal; Kim, Jeongho; Zhang, Xiongtao 31 2018 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 31 2019 Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo 29 2008 Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics. Zbl 1372.76090Russo, Giovanni; Filbet, Francis 29 2009 A review of Boltzmann equation with singular kernels. Zbl 1193.35121Alexandre, Radjesvarane 28 2009 Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system. Zbl 1252.65157Ayuso, Blanca; Carrillo, José A.; Shu, Chi-Wang 28 2011 Kinetic limits for waves in a random medium. Zbl 1221.60095Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya 28 2010 Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang 27 2013 Global existence and steady states of a two competing species Keller-Segel chemotaxis model. Zbl 1320.92035Wang, Qi; Zhang, Lu; Yang, Jingyue; Hu, Jia 26 2015 Decay property for a plate equation with memory-type dissipation. Zbl 1225.35150Liu, Yongqin; Kawashima, Shuichi 26 2011 Vision-based macroscopic pedestrian models. Zbl 1426.76051Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy 25 2013 Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 25 2017 A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese 24 2010 Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model. Zbl 1189.35250Fan, Jishan; Ozawa, Tohru 23 2009 Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates. Zbl 1270.35095Balagué, Daniel; Cañizo, José A.; Gabriel, Pierre 23 2013 Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. Zbl 1357.35244Fan, Jishan; Huang, Shuxiang; Li, Fucai 23 2017 On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019Aoki, Kazuo; Golse, François 22 2011 Orientation waves in a director field with rotational inertia. Zbl 1180.35010Alì, Giuseppe; Hunter, John K. 22 2009 Local Hilbert expansion for the Boltzmann equation. Zbl 1372.76089Guo, Yan; Jang, Juhi; Jiang, Ning 22 2009 Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 21 2013 Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles. Zbl 1317.65212Crestetto, Anaïs; Crouseilles, Nicolas; Lemou, Mohammed 21 2012 Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach. Zbl 1242.76304Ben Abdallah, Naoufel; Mellet, Antoine; Puel, Marjolaine 21 2011 Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics. Zbl 1227.35073Suzuki, Masahiro 21 2011 Diffusion asymptotics of a kinetic model for gaseous mixtures. Zbl 1260.35100Boudin, Laurent; Grec, Bérénice; Pavić, Milana; Salvarani, Francesco 21 2013 Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations. Zbl 1282.35296Fan, Jishan; Fukumoto, Yasuhide; Zhou, Yong 21 2013 Coordinates in the relativistic Boltzmann theory. Zbl 1429.76094Strain, Robert M. 21 2011 Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos. Zbl 1358.65073Huang, Hui; Liu, Jian-Guo 21 2016 Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac’s equation. Zbl 1194.35089Lekrine, Nadia; Xu, Chao-Jiang 20 2009 A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods. Zbl 1304.35475Koellermeier, Julian; Schaerer, Roman Pascal; Torrilhon, Manuel 20 2014 Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension. Zbl 1284.35257Kato, Masakazu; Wang, Yu-Zhu; Kawashima, Shuichi 20 2013 Some a priori estimates for the homogeneous Landau equation with soft potentials. Zbl 1320.35104Alexandre, Radjesvarane; Liao, Jie; Lin, Chunjin 20 2015 Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036Herty, Michael; Pareschi, Lorenzo 19 2010 Time asymptotics for a critical case in fragmentation and growth-fragmentation equations. Zbl 1332.35365Doumic, Marie; Escobedo, Miguel 19 2016 A consistent kinetic model for a two-component mixture with an application to plasma. Zbl 1352.82009Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella 19 2017 Remarks on the full dispersion Kadomtsev-Petviashvli equation. Zbl 1292.35266Lannes, David; Saut, Jean-Claude 18 2013 Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type. Zbl 1208.92096Agueh, Martial; Illner, Reinhard; Richardson, Ashlin 18 2011 On hyperbolicity of 13-moment system. Zbl 1304.82063Cai, Zhenning; Fan, Yuwei; Li, Ruo 17 2014 Large-time decay of the soft potential relativistic Boltzmann equation in \(\mathbb{R}^3_x\). Zbl 1247.76071Strain, Robert M.; Zhu, Keya 17 2012 A remark on Cannone-Karch solutions to the homogeneous Boltzmann equation for Maxwellian molecules. Zbl 1255.35177Morimoto, Yoshinori 17 2012 A kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles. Zbl 1434.35248Kim, Daewa; Quaini, Annalisa 17 2019 Spectral decompositions and \(\mathbb{L}^2\)-operator norms of toy hypocoercive semi-groups. Zbl 1262.35134Gadat, Sébastien; Miclo, Laurent 17 2013 Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior. Zbl 1250.35166Schaeffer, Jack 16 2012 On the plasma-charge model. Zbl 1193.82045Caprino, Silvia; Marchioro, Carlo 16 2010 Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik 16 2011 Explicit equilibrium solutions for the aggregation equation with power-law potentials. Zbl 1354.45001Carrillo, José A.; Huang, Yanghong 16 2017 On interfaces between cell populations with different mobilities. Zbl 1359.35204Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît 16 2017 Numerical study of a particle method for gradient flows. Zbl 1354.65180Carrillo, José Antonio; Huang, Yanghong; Patacchini, Francesco Saverio; Wolansky, Gershon 16 2017 A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118LeFloch, Philippe G.; Ukai, Seiji 15 2009 Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Zbl 1195.82087Philippe, Ghendrih; Maxime, Hauray; Nouri, Anne 15 2009 Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148Jüngel, Ansgar; Milišić, Josipa-Pina 15 2011 Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Zbl 1255.82065Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella 15 2012 Confinement by biased velocity jumps: aggregation of Escherichia coli. Zbl 1337.35155Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian 15 2015 Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators. Zbl 1282.35270Lerner, Nicolas; Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang 15 2013 Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric 15 2011 The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks. Zbl 1366.35083Fellner, Klemens; Prager, Wolfang; Tang, Bao Q. 15 2017 Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics. Zbl 1376.80002Bisi, Marzia; Ruggeri, Tommaso; Spiga, Giampiero 15 2018 Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1361.35075Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno 15 2017 A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation. Zbl 1284.35102Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang 14 2013 A kinetic theory description of liquid menisci at the microscale. Zbl 1362.82044Barbante, Paolo; Frezzotti, Aldo; Gibelli, Livio 14 2015 A general consistent BGK model for gas mixtures. Zbl 1405.76042Bobylev, Alexander V.; Bisi, Marzia; Groppi, Maria; Spiga, Giampiero; Potapenko, Irina F. 14 2018 Time decay of solutions to the compressible Euler equations with damping. Zbl 1318.35072Chen, Qing; Tan, Zhong 14 2014 Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction. Zbl 1330.35339Pu, Xueke; Guo, Boling 14 2016 A realizability-preserving high-order kinetic scheme using WENO reconstruction for entropy-based moment closures of linear kinetic equations in slab geometry. Zbl 1326.65115Schneider, Florian; Kall, Jochen; Alldredge, Graham 14 2016 Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356Degond, Pierre; Delitala, Marcello 14 2008 Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006Frank, Martin; Hauck, Cory D.; Olbrant, Edgar 14 2013 Global nonlinear stability of rarefaction waves for compressible Navier-Stokes equations with temperature and density dependent transport coefficients. Zbl 1360.35130Huang, Bingkang; Wang, Lusheng; Xiao, Qinghua 14 2016 A logistic equation with nonlocal interactions. Zbl 1356.35261Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico 14 2017 Global solution to the 3-D inhomogeneous incompressible MHD system with discontinuous density. Zbl 1410.35110Chen, Fei; Guo, Boling; Zhai, Xiaoping 13 2019 The Cauchy problem for the Vlasov-Dirac-Benney equation and related issues in fluid mechanics and semi-classical limits. Zbl 1292.35293Bardos, Claude; Besse, Nicolas 13 2013 Time evolution of a Vlasov-Poisson plasma with magnetic confinement. Zbl 1263.82052Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo 13 2012 Approximating the \(M_2\) method by the extended quadrature method of moments for radiative transfer in slab geometry. Zbl 1333.78018Alldredge, Graham W.; Li, Ruo; Li, Weiming 13 2016 On a relativistic Fokker-Planck equation in kinetic theory. Zbl 1219.35312Alcántara, José Antonio; Calogero, Simone 13 2011 On Villani’s conjecture concerning entropy production for the Kac master equation. Zbl 1335.82023Einav, Amit 13 2011 The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre 13 2009 Entropy production for ellipsoidal BGK model of the Boltzmann equation. Zbl 1358.35083Yun, Seok-Bae 13 2016 Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime. Zbl 1462.34100Haskovec, Jan; Markou, Ioannis 12 2020 Propagation of Gevrey regularity for solutions of Landau equations. Zbl 1157.35328Chen, Hua; Li, Wei-Xi; Xu, Chao-Jiang 12 2008 Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Zbl 1328.35144Escobedo, Miguel; Tran, Minh-Binh 12 2015 On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow. Zbl 1420.35240Hillairet, Matthieu; Moussa, Ayman; Sueur, Franck 12 2019 A Boltzmann-like equation for choice formation. Zbl 1180.35402Comincioli, Valeriano; Della Croce, Lucia; Toscani, Giuseppe 12 2009 Local well-posedness for the tropical climate model with fractional velocity diffusion. Zbl 1360.35184Ma, Caochuan; Jiang, Zaihong; Wan, Renhui 12 2016 A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror. Zbl 1364.82061Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo 12 2016 A neural network closure for the Euler-Poisson system based on kinetic simulations. Zbl 1483.35158Bois, Léo; Franck, Emmanuel; Navoret, Laurent; Vigon, Vincent 1 2022 Kinetic Fokker-Planck and Landau equations with specular reflection boundary condition. Zbl 1498.35542Dong, Hongjie; Guo, Yan; Yastrzhembskiy, Timur 1 2022 Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds. Zbl 1476.35190Ahn, Hyunjin; Ha, Seung-Yeal; Shim, Woojoo 4 2021 Opinion formation systems via deterministic particles approximation. Zbl 1489.35285Fagioli, Simone; Radici, Emanuela 3 2021 Diffusion limit of the Vlasov-Poisson-Boltzmann system. Zbl 1479.76121Li, Hai-Liang; Yang, Tong; Zhong, Mingying 2 2021 A general way to confined stationary Vlasov-Poisson plasma configurations. Zbl 1476.35273Belyaeva, Yulia O.; Gebhard, Björn; Skubachevskii, Alexander L. 2 2021 A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving. Zbl 1476.65205Emako, Casimir; Kanbar, Farah; Klingenberg, Christian; Tang, Min 2 2021 Boltzmann-type equations for multi-agent systems with label switching. Zbl 1476.35164Loy, Nadia; Tosin, Andrea 2 2021 BGK models for inert mixtures: comparison and applications. Zbl 1490.76185Boscarino, Sebastiano; Cho, Seung Yeon; Groppi, Maria; Russo, Giovanni 2 2021 BGK model of the multi-species Uehling-Uhlenbeck equation. Zbl 1471.82016Bae, Gi-Chan; Klingenberg, Christian; Pirner, Marlies; Yun, Seok-Bae 2 2021 Relativistic BGK model for massless particles in the FLRW spacetime. Zbl 1484.76096Hwang, Byung-Hoon; Lee, Ho; Yun, Seok-Bae 2 2021 Projective integration schemes for hyperbolic moment equations. Zbl 1479.76070Koellermeier, Julian; Samaey, Giovanni 1 2021 On group symmetries of the hydrodynamic equations for rarefied gas. Zbl 1476.35194Bobylev, Alexander V.; Meleshko, Sergey V. 1 2021 A model of cultural evolution in the context of strategic conflict. Zbl 1492.91239Perepelitsa, Misha 1 2021 Incompressible Navier-Stokes-Fourier limit from the Landau equation. Zbl 1476.35165Rachid, Mohamad 1 2021 Lower bound for the Boltzmann equation whose regularity grows tempered with time. Zbl 1476.35163He, Ling-Bing; Ji, Jie; Shao, Ling-Xuan 1 2021 A spectral study of the linearized Boltzmann operator in \(L^2\)-spaces with polynomial and Gaussian weights. Zbl 1477.35112Gervais, Pierre 1 2021 Superposition principle and schemes for measure differential equations. Zbl 1475.35379Camilli, Fabio; Cavagnari, Giulia; Maio, Raul De; Piccoli, Benedetto 1 2021 Evolutionary game theory in mixed strategies: from microscopic interactions to kinetic equations. Zbl 1471.91038Pinasco, Juan Pablo; Cartabia, Mauro Rodriguez; Saintier, Nicolas 1 2021 Collisional sheath solutions of a bi-species Vlasov-Poisson-Boltzmann boundary value problem. Zbl 1471.35272Badsi, Mehdi 1 2021 The delayed Cucker-Smale model with short range communication weights. Zbl 1497.34106Chen, Zili; Yin, Xiuxia 1 2021 The fragmentation equation with size diffusion: small and large size behavior of stationary solutions. Zbl 1484.45007Laurençot, Philippe; Walker, Christoph 1 2021 Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime. Zbl 1462.34100Haskovec, Jan; Markou, Ioannis 12 2020 The BGK approximation of kinetic models for traffic. Zbl 1437.90042Herty, Michael; Puppo, Gabriella; Roncoroni, Sebastiano; Visconti, Giuseppe 10 2020 Local well-posedness of the Boltzmann equation with polynomially decaying initial data. Zbl 1442.35288Henderson, Christopher; Snelson, Stanley; Tarfulea, Andrei 9 2020 A semigroup approach to the convergence rate of a collisionless gas. Zbl 1464.35277Bernou, Armand 7 2020 Diffusion and kinetic transport with very weak confinement. Zbl 1434.35237Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian 6 2020 Cercignani-Lampis boundary in the Boltzmann theory. Zbl 1447.76029Chen, Hongxu 5 2020 Hypocoercivity of linear kinetic equations via Harris’s theorem. Zbl 1434.35032Cañizo, José A.; Cao, Chuqi; Evans, Josephine; Yoldaş, Havva 5 2020 A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators. Zbl 1447.58032Patie, Pierre; Vaidyanathan, Aditya 4 2020 Global existence theorem for a model governing the motion of two cell populations. Zbl 1458.35084Price, Brock C.; Xu, Xiangsheng 3 2020 Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria. Zbl 1458.35413Nguyen, Trinh T. 3 2020 Stability of a non-local kinetic model for cell migration with density dependent orientation bias. Zbl 1448.35355Loy, Nadia; Preziosi, Luigi 3 2020 The Neumann numerical boundary condition for transport equations. Zbl 1437.65093Coulombel, Jean-François; Lagoutière, Frédéric 3 2020 A kinetic approach of the bi-temperature Euler model. Zbl 1434.82033Brull, Stéphane; Dubroca, Bruno; Prigent, Corentin 3 2020 Stochastic Cucker-Smale flocking dynamics of jump-type. Zbl 1437.35661Friesen, Martin; Kutoviy, Oleksandr 3 2020 A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions. Zbl 1446.65128Hu, Jingwei; Shen, Jie; Wang, Yingwei 2 2020 Confined steady states of the relativistic Vlasov-Maxwell system in an infinitely long cylinder. 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Zbl 1437.35666Burger, Martin; Humpert, Ina; Pietschmann, Jan-Frederik 2 2020 Trend to the equilibrium for the Fokker-Planck system with an external magnetic field. Zbl 1473.35572Karaki, Zeinab 2 2020 The Vlasov-Maxwell-Boltzmann system near Maxwellians with strong background magnetic field. Zbl 1442.35290Lei, Yuanjie; Zhao, Huijiang 1 2020 Solvability and blow-up criterion of the thermomechanical Cucker-Smale-Navier-Stokes equations in the whole domain. Zbl 1450.76006Kim, Jeongho; Zou, Weiyuan 1 2020 On the Cucker-Smale ensemble with \(q\)-closest neighbors under time-delayed communications. Zbl 1459.34174Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon 1 2020 Strong solutions for the Alber equation and stability of unidirectional wave spectra. Zbl 1441.35191Athanassoulis, 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. 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Zbl 1423.34020Banasiak, Jacek; Joel, Luke O.; Shindin, Sergey 1 2019 ...and 370 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,052 Authors 96 Ha, Seung-Yeal 57 Carrillo de la Plata, José Antonio 42 Choi, Young-Pil 33 Yun, Seok-Bae 32 Bellomo, Nicola 31 Degond, Pierre 28 Yang, Tong 26 Jin, Shi 26 Zhao, Huijiang 24 Zhou, Yong 23 Fan, Jishan 23 Kim, Jeongho 23 Liu, Jianguo 23 Morimoto, Yoshinori 22 Pareschi, Lorenzo 22 Toscani, Giuseppe 21 Duan, Renjun 21 Herty, Michael Matthias 20 Gala, Sadek 20 Klar, Axel 19 Bao, Weizhu 19 Dimarco, Giacomo 19 Wang, Yi 19 Zhang, Xiongtao 18 Antoine, Xavier 18 Kang, Moon-Jin 18 Yamazaki, Kazuo 18 Zanella, Mattia 17 Brull, Stephane 17 Jüngel, Ansgar 17 Kim, Doheon 16 Bisi, Marzia 16 Liu, Shuangqian 16 Perthame, Benoît 16 Ragusa, Maria Alessandra 16 Tadmor, Eitan 16 Tosin, Andrea 16 Wang, Qi 16 Xiao, Qinghua 16 Xu, Chao-Jiang 15 Desvillettes, Laurent 15 Han-Kwan, Daniel 15 Hu, Yanbo 15 Jung, Jinwook 15 Zhang, Xianwen 14 Crouseilles, Nicolas 14 Dolbeault, Jean 14 Salvarani, Francesco 14 Tan, Zhong 14 Wang, Yuzhu 14 Wolfram, Marie-Therese 14 Zlotnik, Alexander A. 13 Cai, Yongyong 13 Cañizo, José Alfredo 13 Jabin, Pierre-Emmanuel 13 Lods, Bertrand 13 Soler, Juan S. 13 Tan, Changhui 13 Zhu, Mingxuan 12 Filbet, Francis 12 Goudon, Thierry 12 Knopoff, Damian A. 12 Li, Yeping 12 Lian, Ruxu 12 Liu, Lvqiao 12 Mischler, Stéphane 12 Ruggeri, Tommaso 12 Strain, Robert M. 12 Tang, Qinglin 12 Vauchelet, Nicolas 12 Wang, Tingchun 11 Albi, Giacomo 11 Bae, Hyeong-Ohk 11 Gabriel, Pierre 11 Göttlich, Simone 11 Kawashima, Shuichi 11 Li, Haoguang 11 Li, Ruo 11 Pinaud, Olivier 11 Pu, Xueke 11 Russo, Giovanni 11 Tran, Minh-Binh 11 Vasseur, Alexis F. 11 Visconti, Giuseppe 11 Wang, Yinxia 11 Zhang, Zujin 11 Zhao, Xiaofei 10 Fellner, Klemens 10 Frank, Martin 10 Martínez Gamba, Irene 10 He, Lingbing 10 Kim, Dohyun 10 Lachowicz, Mirosław 10 Lei, Yuanjie 10 Lemou, Mohammed 10 Li, Fucai 10 Li, Qin 10 Liu, Zuhan 10 Marchioro, Carlo 10 Mouhot, Clément ...and 2,952 more Authors all top 5 Cited in 324 Journals 189 Kinetic and Related Models 164 Journal of Differential Equations 139 M\(^3\)AS. 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Series B ...and 224 more Journals all top 5 Cited in 50 Fields 2,413 Partial differential equations (35-XX) 1,157 Fluid mechanics (76-XX) 946 Statistical mechanics, structure of matter (82-XX) 579 Numerical analysis (65-XX) 523 Biology and other natural sciences (92-XX) 234 Probability theory and stochastic processes (60-XX) 141 Ordinary differential equations (34-XX) 125 Quantum theory (81-XX) 125 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 95 Integral equations (45-XX) 94 Operator theory (47-XX) 93 Dynamical systems and ergodic theory (37-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 86 Operations research, mathematical programming (90-XX) 71 Optics, electromagnetic theory (78-XX) 68 Mechanics of deformable solids (74-XX) 63 Classical thermodynamics, heat transfer (80-XX) 58 Mechanics of particles and systems (70-XX) 58 Systems theory; control (93-XX) 48 Real functions (26-XX) 43 Relativity and gravitational theory (83-XX) 35 Functional analysis (46-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 25 Global analysis, analysis on manifolds (58-XX) 25 Geophysics (86-XX) 23 Statistics (62-XX) 23 Astronomy and astrophysics (85-XX) 22 Computer science (68-XX) 18 Information and communication theory, circuits (94-XX) 16 Approximations and expansions (41-XX) 13 General and overarching topics; collections (00-XX) 13 Measure and integration (28-XX) 13 Difference and functional equations (39-XX) 12 Special functions (33-XX) 9 Integral transforms, operational calculus (44-XX) 9 Differential geometry (53-XX) 8 Combinatorics (05-XX) 6 General topology (54-XX) 5 Functions of a complex variable (30-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Mathematics education (97-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year