Edit Profile (opens in new tab) Desvillettes, Laurent Co-Author Distance Author ID: desvillettes.laurent Published as: Desvillettes, Laurent; Desvillettes, L. Homepage: http://laurent.desvillettes.free.fr/ External Links: MGP Videos: carmin.tv Documents Indexed: 140 Publications since 1988, including 4 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 103 Co-Authors with 123 Joint Publications 2,633 Co-Co-Authors all top 5 Co-Authors 25 single-authored 15 Fellner, Klemens 10 Ricci, Valeria 10 Villani, Cédric 9 Bisi, Marzia 8 Golse, François 6 Arnold, Anton 5 Carrillo de la Plata, José Antonio 5 Monaco, Roberto 5 Moussa, Ayman 4 Bouchut, François 4 Conforto, Fiammetta 4 Mouhot, Clément 4 Salvarani, Francesco 4 Spiga, Giampiero 4 Trescases, Ariane 3 Alonso, Ricardo J. 3 Bagland, Véronique 3 Baranger, Céline 3 Boudin, Laurent 3 Breden, Maxime 3 Carlen, Eric Anders 3 He, Lingbing 3 Jüngel, Ansgar 3 Lods, Bertrand 3 Tang, Bao Quoc 2 Benjelloun, Saad 2 Bernard, Étienne 2 Brull, Stephane 2 Calsina, Àngel 2 Cañizo, José Alfredo 2 Chen, Li 2 Chisholm, Rebecca H. 2 Cuadrado, Sílvia 2 Daus, Esther S. 2 Dietert, Helge 2 Dolbeault, Jean 2 Frosali, Giovanni 2 Ghidaglia, Jean-Michel 2 Giunta, Valeria 2 Hughes, Barry D. 2 Lepoutre, Thomas 2 Lorenzi, Tommaso 2 Mathiaud, Julien 2 Mischler, Stéphane 2 Perthame, Benoît 2 Phung, Kim Dang 2 Pulvirenti, Mario 2 Raoul, Gaël 2 Soresina, Cinzia 2 Toscani, Giuseppe 2 Wennberg, Bernt 1 Bernis, Laurent 1 Bobylev, Alexandre Vasiljévitch 1 Bouche, Daniel P. 1 Bourgat, Jean-François 1 Brocchieri, Elisabetta 1 Buet, Christophe 1 Carrapatoso, Kleber 1 Cavallaro, Guido 1 Cercignani, Carlo 1 Chamoin, Ludovic 1 Champmartin, Aude 1 Charles, Frédérique 1 Chen, Yemin 1 De Vuyst, Florian 1 Decoster, Alain 1 Delgadino, Matias Gonzalo 1 Després, Bruno 1 Figalli, Alessio 1 Frogé, Bruno 1 Furioli, Giulia 1 Gaël, Raoul 1 Graham, Carl 1 Grandmont, Céline 1 Grillot, Michèle 1 Grillot, Philippe 1 Jabin, Pierre-Emmanuel 1 Jiang, Jin-Cheng 1 Kim, Yongjung 1 Labourdette, Christophe 1 Latos, Evangelos Antonios 1 Laurençot, Philippe 1 Le Tallec, Patrick 1 Lederman, Claudia B. 1 Lessard, Jean-Philippe 1 Lin, Chunjin 1 Lorenzani, Silvia 1 Mancini, Simona 1 Markowich, Peter Alexander 1 Méléard, Sylvie 1 Miot, Evelyne 1 Morgan, Jeff J. 1 Motte, Renaud 1 Peralta Herrera, Raymundo E. 1 Pierre, Michel 1 Prévost, Céline 1 Ricoux, Philippe 1 Saffirio, Chiara 1 Terraneo, Elide 1 Vovelle, Julien ...and 3 more Co-Authors all top 5 Serials 9 Archive for Rational Mechanics and Analysis 8 Journal of Statistical Physics 7 Communications in Partial Differential Equations 5 Communications in Mathematical Sciences 5 Kinetic and Related Models 4 Journal of Mathematical Analysis and Applications 4 Transport Theory and Statistical Physics 4 Ricerche di Matematica 4 Discrete and Continuous Dynamical Systems 4 Oberwolfach Reports 3 Communications in Mathematical Physics 3 Monatshefte für Mathematik 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Differential and Integral Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Bulletin des Sciences Mathématiques 3 Rivista di Matematica della Università di Parma. Serie 7 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Revista Matemática Iberoamericana 2 Asymptotic Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Advanced Nonlinear Studies 2 Journal of Hyperbolic Differential Equations 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Rivista di Matematica della Università di Parma. New Series 2 Séminaire Laurent Schwartz. EDP et Applications 1 Communications on Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Transactions of the American Mathematical Society 1 Note di Matematica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 European Journal of Mechanics. B. Fluids 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Rivista di Matematica della Università di Parma. Serie 6 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Series in Applied Mathematics (Paris) 1 Analysis & PDE 1 MathematicS In Action 1 Rivista di Matematica della Università di Parma. Serie 8 1 Journal of Theoretical Biology 1 International Journal on Finite Volumes all top 5 Fields 99 Partial differential equations (35-XX) 76 Statistical mechanics, structure of matter (82-XX) 67 Fluid mechanics (76-XX) 22 Biology and other natural sciences (92-XX) 14 Integral equations (45-XX) 7 General and overarching topics; collections (00-XX) 6 Probability theory and stochastic processes (60-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Quantum theory (81-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 3,105 times in 1,612 Documents Cited by ▼ Year ▼ On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. Zbl 1162.82316 Desvillettes, L.; Villani, C. 190 2005 Entropy dissipation and long-range interactions. Zbl 0968.76076 Alexandre, R.; Desvillettes, L.; Villani, C.; Wennberg, B. 151 2000 On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation. Zbl 1029.82032 Desvillettes, L.; Villani, C. 134 2001 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109 Desvillettes, Laurent; Villani, Cédric 119 2000 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048 Bouchut, François; Golse, François; Pulvirenti, Mario 103 2000 Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403 Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman 95 2009 On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. Zbl 0951.35130 Desvillettes, Laurent; Villani, Cédric 87 2000 On asymptotics of the Boltzmann equation when the collisions become grazing. Zbl 0769.76059 Desvillettes, L. 87 1992 Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. Zbl 1096.35018 Desvillettes, Laurent; Fellner, Klemens 77 2006 Improved duality estimates and applications to reaction-diffusion equations. Zbl 1295.35142 Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens 72 2014 Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046 Baranger, Céline; Desvillettes, Laurent 71 2006 A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions. Zbl 1060.76100 Desvillettes, L.; Monaco, R.; Salvarani, F. 68 2005 About the regularizing properties of the non-cut-off Kac equation. Zbl 0827.76081 Desvillettes, Laurent 67 1995 On selection dynamics for continuous structured populations. Zbl 1176.45009 Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël 66 2008 Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. Zbl 1103.82020 Desvillettes, Laurent; Wennberg, Bernt 64 2004 Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211 Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien 60 2007 Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067 Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B. 57 1994 Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. Zbl 1325.35223 Desvillettes, L. 51 2015 On the entropic structure of reaction-cross diffusion systems. Zbl 1331.35179 Desvillettes, L.; Lepoutre, T.; Moussa, A.; Trescases, A. 49 2015 Some applications of the method of moments for the homogeneous Boltzmann and Kac equations. Zbl 0784.76081 Desvillettes, L. 46 1993 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159 Bouchut, F.; Desvillettes, L. 44 1999 Convergence to equilibrium in large time for Boltzmann and B.G.K. equations. Zbl 0705.76070 Desvillettes, L. 44 1990 A logarithmic chemotaxis model featuring global existence and aggregation. Zbl 1430.92014 Desvillettes, Laurent; Kim, Yong-Jung; Trescases, Ariane; Yoon, Changwook 43 2019 The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018 Desvillettes, Laurent; Golse, François; Ricci, Valeria 42 2008 Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks. Zbl 1368.35036 Desvillettes, Laurent; Fellner, Klemens; Tang, Bao Quoc 42 2017 Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. Zbl 1171.35330 Desvillettes, Laurent; Fellner, Klemens 41 2008 Entropy, duality, and cross diffusion. Zbl 1293.35142 Desvillettes, L.; Lepoutre, Th.; Moussa, A. 41 2014 On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032 Desvillettes, L.; Villani, Cédric 39 2002 On long time asymptotics of the Vlasov-Poisson-Boltzmann equation. Zbl 0737.35127 Desvillettes, L.; Dolbeault, J. 37 1991 A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014 Bouchut, François; Desvillettes, Laurent 36 1998 Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064 Chen, Yemin; Desvillettes, Laurent; He, Lingbing 35 2009 Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions. Zbl 1169.76054 Desvillettes, Laurent; Mouhot, Clément 35 2009 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109 Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 34 2004 Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules. Zbl 1159.76044 Desvillettes, Laurent; Furioli, Giulia; Terraneo, Elide 32 2009 Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules. Zbl 0901.76072 Desvillettes, Laurent 29 1997 Existence of nontrivial steady states for populations structured with respect to space and a continuous trait. Zbl 1303.92091 Arnold, Anton; Desvillettes, Laurent; Prévost, Céline 29 2012 The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019 Desvillettes, L.; Pulvirenti, M. 27 1999 About the splitting algorithm for Boltzmann and B.G.K. equations. Zbl 0876.35088 Desvillettes, L.; Mischler, S. 26 1996 New results for triangular reaction cross diffusion system. Zbl 1319.35077 Desvillettes, L.; Trescases, A. 25 2015 A modeling of compressible droplets in a fluid. Zbl 1084.76073 Boudin, Laurent; Desvillettes, Laurent; Motte, Renaud 24 2003 Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments. Zbl 1343.92320 Lorenzi, Tommaso; Chisholm, Rebecca H.; Desvillettes, Laurent; Hughes, Barry D. 24 2015 Polynomial propagation of moments and global existence for a Vlasov-Poisson system with a point charge. Zbl 1323.35178 Desvillettes, Laurent; Miot, Evelyne; Saffirio, Chiara 24 2015 Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. Zbl 1009.76081 Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie 23 1999 Entropy dissipation rate and convergence in kinetic equations. Zbl 0688.76057 Desvillettes, L. 23 1989 Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry. Zbl 1327.35374 Desvillettes, Laurent; Fellner, Klemens 22 2014 A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions. Zbl 1051.82022 Desvillettes, L.; Ricci, V. 22 2001 Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360 Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing 22 2017 Entropy methods for reaction-diffusion systems. Zbl 1163.35322 Desvillettes, Laurent; Fellner, Klemens 21 2007 Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064 Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric 21 2011 Asymptotic behavior of degenerate linear transport equations. Zbl 1180.35102 Desvillettes, Laurent; Salvarani, Francesco 21 2009 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042 Bouchut, F.; Desvillettes, L. 20 2001 About the use of the Fourier transform for the Boltzmann equation. Zbl 1072.35513 Desvillettes, Laurent 20 2003 Some aspects of the modeling at different scales of multiphase flows. Zbl 1227.76067 Desvillettes, Laurent 20 2010 Asymptotics of steady states of a selection-mutation equation for small mutation rate. Zbl 1293.35341 Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Gaël, Raoul 20 2013 Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. Zbl 1335.35115 Desvillettes, L.; Fellner, K. 19 2015 On the singularities of the global small solutions of the full Boltzmann equation. Zbl 0984.76076 Boudin, Laurent; Desvillettes, Laurent 18 2000 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 18 2018 On a model of Borgnakke-Larsen type leading to nonlinear energy laws at temperatures for polyatomic perfect gases. (Sur un modèle de type Borgnakke-Larsen conduisant à des lois d’énergie non linéaires en température pour les gaz parfaits polyatomiques.) Zbl 0894.35086 Desvillettes, Laurent 17 1997 Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences. Zbl 1364.35380 Chisholm, Rebecca H.; Lorenzi, Tommaso; Desvillettes, Laurent; Hughes, Barry D. 17 2016 About \(L^p\) estimates for the spatially homogeneous Boltzmann equation. Zbl 1077.76060 Desvillettes, Laurent; Mouhot, Clément 16 2005 Existence theory for the kinetic-fluid coupling when small droplets are treated as part of the fluid. Zbl 1293.35020 Benjelloun, Saad; Desvillettes, Laurent; Moussa, Ayman 16 2014 About reaction-diffusion systems involving the Holling-type II and the Beddington-DeAngelis functional responses for predator-prey models. Zbl 1392.35181 Conforto, F.; Desvillettes, Laurent; Soresina, C. 16 2018 Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Zbl 1501.35057 Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael 16 2023 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1134.82323 Bisi, M.; Desvillettes, L. 15 2006 Regularization for the non-cutoff 2D radially symmetric Boltzmann equation with a velocity dependent cross section. Zbl 0871.76077 Desvillettes, Laurent 14 1996 Boltzmann’s kernel and the spatially homogeneous Boltzmann equation. Zbl 1078.76059 Desvillettes, Laurent 12 2001 Entropy dissipation estimates for the Landau equation: general cross sections. Zbl 1351.35206 Desvillettes, Laurent 12 2016 Rigorous passage to the limit in a system of reaction-diffusion equations towards a system including cross diffusions. Zbl 1320.35025 Conforto, Fiammetta; Desvillettes, Laurent 12 2014 About entropy methods for reaction-diffusion equations. Zbl 1171.35409 Desvillettes, L. 11 2007 A derivation of the Vlasov-Navier-Stokes model for aerosol flows from kinetic theory. Zbl 1387.35441 Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria 11 2017 Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials. Zbl 1141.35337 Desvillettes, Laurent; Mouhot, Clément 10 2007 Quasi-steady-state approximation for reaction-diffusion equations. Zbl 1142.35466 Bisi, Marzia; Conforto, Fiammetta; Desvillettes, Laurent 10 2007 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227 Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 10 2020 Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion. Zbl 1193.35091 Cañizo, J. A.; Desvillettes, L.; Fellner, K. 10 2010 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 10 2018 About the entropic structure of detailed balanced multi-species cross-diffusion equations. Zbl 1405.35082 Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge 10 2019 Non-triangular cross-diffusion systems with predator-prey reaction terms. Zbl 1420.35435 Desvillettes, L.; Soresina, C. 10 2019 On a model Boltzmann equation without angular cutoff. Zbl 1013.76072 Desvillettes, L.; Golse, F. 9 2000 Hypocoercivity: the example of linear transport. Zbl 1107.35025 Desvillettes, Laurent 9 2006 Some aspects of the asymptotics leading from gas-particles equations towards multiphase flows equations. Zbl 1203.82080 Desvillettes, Laurent; Mathiaud, Julien 9 2010 A remark concerning the Chapman-Enskog asymptotics. Zbl 0863.76071 Desvillettes, L.; Golse, F. 8 1994 Smoothness of moments of the solutions of discrete coagulation equations with diffusion. Zbl 1419.39041 Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens 8 2017 Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases. Zbl 1301.82046 Bisi, Marzia; Desvillettes, Laurent 8 2014 Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation. Zbl 1160.76060 Bernis, Laurent; Desvillettes, Laurent 7 2009 About the Landau-Fermi-Dirac equation with moderately soft potentials. Zbl 1489.35278 Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. 7 2022 Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model. Zbl 1144.82080 Carrillo, J. A.; Desvillettes, L.; Fellner, K. 7 2008 About the use of entropy production for the Landau-Fermi-Dirac equation. Zbl 1466.76054 Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. 7 2021 Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis. Zbl 1469.35087 Desvillettes, Laurent; Giunta, Valeria 7 2021 Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field. Zbl 1048.82004 Desvillettes, L.; Ricci, V. 6 2004 Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114 Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime 5 2015 Entropic methods for the study of the long time behavior of kinetic equations. Zbl 1038.82073 Desvillettes, L.; Villani, C. 5 2001 The Boltzmann-Grad limit of a stochastic Lorentz gas in a force field. Zbl 1214.82088 Desvillettes, L.; Ricci, V. 5 2007 Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics. Zbl 1155.35312 Bisi, Marzia; Desvillettes, Laurent; Spiga, Giampiero 5 2009 Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Zbl 1351.35229 Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Raoul, Gaël 4 2016 Fast-reaction limit for the inhomogeneous Aizenman-Bak model. Zbl 1148.35302 Carrillo, J. A.; Desvillettes, L.; Fellner, K. 4 2008 Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070 Desvillettes, Laurent; Golse, François; Ricci, Valeria 4 2014 Modeling and simulation of thick sprays through coupling of a finite volume Euler equation solver and a particle method for a disperse phase. Zbl 1264.82132 Benjelloun, S.; Desvillettes, L.; Ghidaglia, J. M.; Nielsen, K. 4 2012 Plasma kinetic models: the Fokker-Planck-Landau equation. Zbl 1106.82026 Desvillettes, Laurent 3 2004 Control of modeling errors in the coupling of linear transport and diffusion models. Zbl 1286.35073 Chamoin, Ludovic; Desvillettes, Laurent 3 2013 Some asymptotic limits of reaction-diffusion systems appearing in reversible chemistry. Zbl 1377.35153 Conforto, Fiammetta; Desvillettes, Laurent; Monaco, Roberto 3 2017 A new monotonicity formula for the spatially homogeneous Landau equation with Coulomb potential and its applications. Zbl 07855096 Desvillettes, Laurent; He, Ling-Bing; Jiang, Jin-Cheng 1 2024 The Landau equation as a gradient flow. Zbl 07852592 Carrillo, José A.; Delgadino, Matias G.; Desvillettes, Laurent; Wu, Jeremy S.-H. 1 2024 Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Zbl 1501.35057 Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael 16 2023 Linear stability of thick sprays equations. Zbl 1508.35061 Buet, C.; Després, B.; Desvillettes, L. 2 2023 About the Landau-Fermi-Dirac equation with moderately soft potentials. Zbl 1489.35278 Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. 7 2022 Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis. Zbl 1496.35226 Desvillettes, Laurent; Giunta, Valeria; Morgan, Jeff; Tang, Bao Quoc 3 2022 About the use of entropy production for the Landau-Fermi-Dirac equation. Zbl 1466.76054 Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. 7 2021 Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis. Zbl 1469.35087 Desvillettes, Laurent; Giunta, Valeria 7 2021 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227 Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 10 2020 About Boltzmann’s H theorem for the Landau equation. (Autour du théorème H de Boltzmann.) Zbl 1497.35332 Desvillettes, Laurent 3 2020 Rigorous study of the equilibria of collision kernels appearing in the theory of weak turbulence. Zbl 1444.76092 Breden, M.; Desvillettes, L. 2 2020 A logarithmic chemotaxis model featuring global existence and aggregation. Zbl 1430.92014 Desvillettes, Laurent; Kim, Yong-Jung; Trescases, Ariane; Yoon, Changwook 43 2019 About the entropic structure of detailed balanced multi-species cross-diffusion equations. Zbl 1405.35082 Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge 10 2019 Non-triangular cross-diffusion systems with predator-prey reaction terms. Zbl 1420.35435 Desvillettes, L.; Soresina, C. 10 2019 A formal passage from a system of Boltzmann equations for mixtures towards a Vlasov-Euler system of compressible fluids. Zbl 1417.35085 Desvillettes, Laurent; Golse, François; Ricci, Valeria 3 2019 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 18 2018 About reaction-diffusion systems involving the Holling-type II and the Beddington-DeAngelis functional responses for predator-prey models. Zbl 1392.35181 Conforto, F.; Desvillettes, Laurent; Soresina, C. 16 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 10 2018 Homogenization of the discrete diffusive coagulation-fragmentation equations in perforated domains. Zbl 1402.35030 Desvillettes, Laurent; Lorenzani, Silvia 1 2018 Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks. Zbl 1368.35036 Desvillettes, Laurent; Fellner, Klemens; Tang, Bao Quoc 42 2017 Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360 Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing 22 2017 A derivation of the Vlasov-Navier-Stokes model for aerosol flows from kinetic theory. Zbl 1387.35441 Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria 11 2017 Smoothness of moments of the solutions of discrete coagulation equations with diffusion. Zbl 1419.39041 Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens 8 2017 Some asymptotic limits of reaction-diffusion systems appearing in reversible chemistry. Zbl 1377.35153 Conforto, Fiammetta; Desvillettes, Laurent; Monaco, Roberto 3 2017 Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences. Zbl 1364.35380 Chisholm, Rebecca H.; Lorenzi, Tommaso; Desvillettes, Laurent; Hughes, Barry D. 17 2016 Entropy dissipation estimates for the Landau equation: general cross sections. Zbl 1351.35206 Desvillettes, Laurent 12 2016 Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Zbl 1351.35229 Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Raoul, Gaël 4 2016 Entropic structure of Landau’s collision kernel. (Structure entropique du noyau de collision de Landau.) Zbl 1353.35285 Desvillettes, Laurent 1 2016 Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. Zbl 1325.35223 Desvillettes, L. 51 2015 On the entropic structure of reaction-cross diffusion systems. Zbl 1331.35179 Desvillettes, L.; Lepoutre, T.; Moussa, A.; Trescases, A. 49 2015 New results for triangular reaction cross diffusion system. Zbl 1319.35077 Desvillettes, L.; Trescases, A. 25 2015 Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments. Zbl 1343.92320 Lorenzi, Tommaso; Chisholm, Rebecca H.; Desvillettes, Laurent; Hughes, Barry D. 24 2015 Polynomial propagation of moments and global existence for a Vlasov-Poisson system with a point charge. Zbl 1323.35178 Desvillettes, Laurent; Miot, Evelyne; Saffirio, Chiara 24 2015 Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. Zbl 1335.35115 Desvillettes, L.; Fellner, K. 19 2015 Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114 Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime 5 2015 Improved duality estimates and applications to reaction-diffusion equations. Zbl 1295.35142 Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens 72 2014 Entropy, duality, and cross diffusion. Zbl 1293.35142 Desvillettes, L.; Lepoutre, Th.; Moussa, A. 41 2014 Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry. Zbl 1327.35374 Desvillettes, Laurent; Fellner, Klemens 22 2014 Existence theory for the kinetic-fluid coupling when small droplets are treated as part of the fluid. Zbl 1293.35020 Benjelloun, Saad; Desvillettes, Laurent; Moussa, Ayman 16 2014 Rigorous passage to the limit in a system of reaction-diffusion equations towards a system including cross diffusions. Zbl 1320.35025 Conforto, Fiammetta; Desvillettes, Laurent 12 2014 Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases. Zbl 1301.82046 Bisi, Marzia; Desvillettes, Laurent 8 2014 Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070 Desvillettes, Laurent; Golse, François; Ricci, Valeria 4 2014 Asymptotics of steady states of a selection-mutation equation for small mutation rate. Zbl 1293.35341 Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Gaël, Raoul 20 2013 Control of modeling errors in the coupling of linear transport and diffusion models. Zbl 1286.35073 Chamoin, Ludovic; Desvillettes, Laurent 3 2013 Duality- and entropy methods in coagulation-fragmentation models. Zbl 1294.82042 Desvillettes, Laurent; Fellner, Klemens 2 2013 A coherent derivation of an average ion model including the evolution of correlations between different shells. Zbl 1331.82058 Bouche, Daniel; Decoster, Alain; Desvillettes, Laurent; Ricci, Valeria 1 2013 Existence of nontrivial steady states for populations structured with respect to space and a continuous trait. Zbl 1303.92091 Arnold, Anton; Desvillettes, Laurent; Prévost, Céline 29 2012 Modeling and simulation of thick sprays through coupling of a finite volume Euler equation solver and a particle method for a disperse phase. Zbl 1264.82132 Benjelloun, S.; Desvillettes, L.; Ghidaglia, J. M.; Nielsen, K. 4 2012 Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064 Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric 21 2011 Some aspects of the modeling at different scales of multiphase flows. Zbl 1227.76067 Desvillettes, Laurent 20 2010 Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion. Zbl 1193.35091 Cañizo, J. A.; Desvillettes, L.; Fellner, K. 10 2010 Some aspects of the asymptotics leading from gas-particles equations towards multiphase flows equations. Zbl 1203.82080 Desvillettes, Laurent; Mathiaud, Julien 9 2010 Large time asymptotics for a continuous coagulation-fragmentation model with degenerate size-dependent diffusion. Zbl 1218.35037 Desvillettes, Laurent; Fellner, Klemens 1 2010 Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403 Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman 95 2009 Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064 Chen, Yemin; Desvillettes, Laurent; He, Lingbing 35 2009 Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions. Zbl 1169.76054 Desvillettes, Laurent; Mouhot, Clément 35 2009 Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules. Zbl 1159.76044 Desvillettes, Laurent; Furioli, Giulia; Terraneo, Elide 32 2009 Asymptotic behavior of degenerate linear transport equations. Zbl 1180.35102 Desvillettes, Laurent; Salvarani, Francesco 21 2009 Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation. Zbl 1160.76060 Bernis, Laurent; Desvillettes, Laurent 7 2009 Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics. Zbl 1155.35312 Bisi, Marzia; Desvillettes, Laurent; Spiga, Giampiero 5 2009 About the link between the detailed description of transitions in an ion and the average-ion models. Zbl 1181.35164 Cavallaro, Guido; Desvillettes, Laurent; Ricci, Valeria 2 2009 Rigorous derivation of a nonlinear diffusion equation as fast-reaction limit of a continuous coagulation-fragmentation model with diffusion. Zbl 1184.35020 Carrillo, J. A.; Desvillettes, L.; Fellner, K. 2 2009 Cédric Villani, 2008 European Mathematical Society Prize. (Cédric Villani reçoit un prix de la société mathématiques européenne.) Zbl 1171.01314 Desvillettes, Laurent; Figalli, Alessio 1 2009 Small mass ratio limit of Boltzmann equations in the Context of the study of evolution of dust particles in a rarefied atmosphere. Zbl 1236.82053 Charles, Frédérique; Desvillettes, Laurent 1 2009 On selection dynamics for continuous structured populations. Zbl 1176.45009 Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël 66 2008 The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018 Desvillettes, Laurent; Golse, François; Ricci, Valeria 42 2008 Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. Zbl 1171.35330 Desvillettes, Laurent; Fellner, Klemens 41 2008 Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model. Zbl 1144.82080 Carrillo, J. A.; Desvillettes, L.; Fellner, K. 7 2008 Fast-reaction limit for the inhomogeneous Aizenman-Bak model. Zbl 1148.35302 Carrillo, J. A.; Desvillettes, L.; Fellner, K. 4 2008 Some remarks about the scaling of systems of reactive Boltzmann equations. Zbl 1157.82368 Bisi, Marzia; Desvillettes, Laurent 1 2008 Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211 Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien 60 2007 Entropy methods for reaction-diffusion systems. Zbl 1163.35322 Desvillettes, Laurent; Fellner, Klemens 21 2007 About entropy methods for reaction-diffusion equations. Zbl 1171.35409 Desvillettes, L. 11 2007 Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials. Zbl 1141.35337 Desvillettes, Laurent; Mouhot, Clément 10 2007 Quasi-steady-state approximation for reaction-diffusion equations. Zbl 1142.35466 Bisi, Marzia; Conforto, Fiammetta; Desvillettes, Laurent 10 2007 The Boltzmann-Grad limit of a stochastic Lorentz gas in a force field. Zbl 1214.82088 Desvillettes, L.; Ricci, V. 5 2007 Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. Zbl 1096.35018 Desvillettes, Laurent; Fellner, Klemens 77 2006 Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046 Baranger, Céline; Desvillettes, Laurent 71 2006 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1134.82323 Bisi, M.; Desvillettes, L. 15 2006 Hypocoercivity: the example of linear transport. Zbl 1107.35025 Desvillettes, Laurent 9 2006 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1105.82022 Bisi, M.; Desvillettes, L. 2 2006 On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. Zbl 1162.82316 Desvillettes, L.; Villani, C. 190 2005 A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions. Zbl 1060.76100 Desvillettes, L.; Monaco, R.; Salvarani, F. 68 2005 About \(L^p\) estimates for the spatially homogeneous Boltzmann equation. Zbl 1077.76060 Desvillettes, Laurent; Mouhot, Clément 16 2005 Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. Zbl 1103.82020 Desvillettes, Laurent; Wennberg, Bernt 64 2004 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109 Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 34 2004 Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field. Zbl 1048.82004 Desvillettes, L.; Ricci, V. 6 2004 Plasma kinetic models: the Fokker-Planck-Landau equation. Zbl 1106.82026 Desvillettes, Laurent 3 2004 Rate of convergence toward the equilibrium in degenerate settings. Zbl 1069.35011 Desvillettes, L.; Villani, C. 1 2004 A modeling of compressible droplets in a fluid. Zbl 1084.76073 Boudin, Laurent; Desvillettes, Laurent; Motte, Renaud 24 2003 About the use of the Fourier transform for the Boltzmann equation. Zbl 1072.35513 Desvillettes, Laurent 20 2003 Characterization of collision kernels. Zbl 1047.76114 Desvillettes, Laurent; Salvarani, Francesco 1 2003 On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032 Desvillettes, L.; Villani, Cédric 39 2002 On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation. Zbl 1029.82032 Desvillettes, L.; Villani, C. 134 2001 A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions. Zbl 1051.82022 Desvillettes, L.; Ricci, V. 22 2001 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042 Bouchut, F.; Desvillettes, L. 20 2001 Boltzmann’s kernel and the spatially homogeneous Boltzmann equation. Zbl 1078.76059 Desvillettes, Laurent 12 2001 Entropic methods for the study of the long time behavior of kinetic equations. Zbl 1038.82073 Desvillettes, L.; Villani, C. 5 2001 Entropy dissipation and long-range interactions. Zbl 0968.76076 Alexandre, R.; Desvillettes, L.; Villani, C.; Wennberg, B. 151 2000 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109 Desvillettes, Laurent; Villani, Cédric 119 2000 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,458 Authors 76 Desvillettes, Laurent 36 Yang, Tong 33 Perthame, Benoît 30 Fellner, Klemens 27 Duan, Renjun 26 Morimoto, Yoshinori 24 Carrillo de la Plata, José Antonio 24 Mouhot, Clément 23 Lorenzi, Tommaso 21 Tang, Bao Quoc 20 Bisi, Marzia 20 Ha, Seung-Yeal 20 Ruggeri, Tommaso 19 Choi, Young-Pil 18 Alonso, Ricardo J. 18 He, Lingbing 18 Strain, Robert M. 18 Xu, Chao-Jiang 18 Yu, Hongjun 18 Zhang, Xianwen 17 Jabin, Pierre-Emmanuel 17 Lods, Bertrand 16 Martínez Gamba, Irene 16 Jüngel, Ansgar 16 Salvarani, Francesco 16 Toscani, Giuseppe 15 Golse, François 15 Ukai, Seiji 15 Villani, Cédric 15 Winkler, Michael 14 Fournier, Nicolas 13 Alexandre, Radjesvarane 13 Cañizo, José Alfredo 13 Li, Weixi 13 Mirrahimi, Sepideh 13 Mischler, Stéphane 12 Briant, Marc 12 Carrapatoso, Kleber 12 Daus, Esther S. 12 Guo, Yan 12 Henderson, Christopher 12 Kim, Chanwoo 11 Jung, Jinwook 11 Liu, Shuangqian 11 Lu, Xuguang 11 Nota, Alessia 11 Pierre, Michel 11 Snelson, Stanley 10 Boudin, Laurent 10 Carlen, Eric Anders 10 Deng, Dingqun 10 Li, Haoguang 10 Silvestre, Luis E. 10 Velázquez, Juan J. L. 10 Wennberg, Bernt 10 Yun, Seok-Bae 9 Arima, Takashi 9 Dolbeault, Jean 9 Höfer, Richard M. 9 Jin, Shi 9 Kim, Yongjung 9 Méléard, Sylvie 9 Moussa, Ayman 9 Saffirio, Chiara 9 Spiga, Giampiero 9 Trescases, Ariane 9 Vasseur, Alexis F. 9 Zhao, Huijiang 9 Zhou, Yulong 8 Arnold, Anton 8 Breden, Maxime 8 Goudon, Thierry 8 Han-Kwan, Daniel 8 Hérau, Frédéric 8 Hwang, Hyung Ju 8 Jiang, Jie 8 Laurençot, Philippe 8 Lee, Donghyun 8 Morgan, Jeff J. 8 Pascucci, Andrea 8 Saint-Raymond, Laure 8 Schmeiser, Christian 8 Soresina, Cinzia 8 Zhang, Yinghui 7 Bagland, Véronique 7 Bernhoff, Niclas 7 Brull, Stephane 7 Buet, Christophe 7 Degond, Pierre 7 Dimarco, Giacomo 7 Groppi, Maria 7 Jang, Jin Woo 7 Lemou, Mohammed 7 Lorz, Alexander 7 Mokhtar-Kharroubi, Mustapha 7 Pennisi, Sebastiano 7 Polidoro, Sergio 7 Pulvirenti, Mario 7 Souganidis, Panagiotis E. 7 Sun, Baoyan ...and 1,358 more Authors all top 5 Cited in 228 Serials 116 Journal of Differential Equations 97 Journal of Statistical Physics 74 Archive for Rational Mechanics and Analysis 67 Kinetic and Related Models 62 SIAM Journal on Mathematical Analysis 54 Communications in Mathematical Physics 41 Journal of Computational Physics 36 Journal of Mathematical Analysis and Applications 34 Journal de Mathématiques Pures et Appliquées. Neuvième Série 33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Journal of Functional Analysis 30 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 29 Communications in Partial Differential Equations 27 Mathematical Methods in the Applied Sciences 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Acta Applicandae Mathematicae 22 Nonlinearity 22 Nonlinear Analysis. Real World Applications 20 Journal of Mathematical Physics 19 Journal of Mathematical Biology 19 Discrete and Continuous Dynamical Systems. Series B 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Journal of Evolution Equations 16 Discrete and Continuous Dynamical Systems 15 Ricerche di Matematica 14 Transport Theory and Statistical Physics 13 Communications on Pure and Applied Mathematics 12 Applied Mathematics Letters 12 Calculus of Variations and Partial Differential Equations 11 SIAM Journal on Applied Mathematics 11 Séminaire Laurent Schwartz. 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New Series 4 Physics of Fluids 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Communications in Contemporary Mathematics 4 Journal of Hyperbolic Differential Equations 4 Analysis and Mathematical Physics 4 Journal of Elliptic and Parabolic Equations 3 Journal of Fluid Mechanics 3 Reviews in Mathematical Physics 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 International Journal of Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 128 more Serials all top 5 Cited in 46 Fields 1,268 Partial differential equations (35-XX) 645 Statistical mechanics, structure of matter (82-XX) 590 Fluid mechanics (76-XX) 272 Biology and other natural sciences (92-XX) 142 Probability theory and stochastic processes (60-XX) 118 Numerical analysis (65-XX) 90 Integral equations (45-XX) 64 Operator theory (47-XX) 50 Classical thermodynamics, heat transfer (80-XX) 40 Dynamical systems and ergodic theory (37-XX) 37 Ordinary differential equations (34-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 29 Optics, electromagnetic theory (78-XX) 28 Quantum theory (81-XX) 22 Functional analysis (46-XX) 22 Mechanics of deformable solids (74-XX) 20 Real functions (26-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Mechanics of particles and systems (70-XX) 16 Systems theory; control (93-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Approximations and expansions (41-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 General and overarching topics; collections (00-XX) 9 Difference and functional equations (39-XX) 8 Relativity and gravitational theory (83-XX) 7 Information and communication theory, circuits (94-XX) 6 Operations research, mathematical programming (90-XX) 5 Astronomy and astrophysics (85-XX) 4 Measure and integration (28-XX) 4 Computer science (68-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) Citations by Year