Edit Profile (opens in new tab) Desvillettes, Laurent Co-Author Distance Author ID: desvillettes.laurent Published as: Desvillettes, Laurent; Desvillettes, L. Documents Indexed: 137 Publications since 1988, including 5 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 101 Co-Authors with 121 Joint Publications 2,596 Co-Co-Authors all top 5 Co-Authors 24 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 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 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 Pulvirenti, Mario 2 Raoul, Gaël 2 Soresina, Cinzia 2 Tang, Bao Quoc 2 Toscani, Giuseppe 2 Wennberg, Bernt 1 Bernis, Laurent 1 Bobylev, Alexandre Vasiljévitch 1 Bouche, Daniel P. 1 Bourgat, Jean-François 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 Dietert, Helge 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 Phung, Kim Dang 1 Pierre, Michel 1 Prévost, Céline 1 Ricoux, Philippe 1 Saffirio, Chiara 1 Terraneo, Elide 1 Vovelle, Julien 1 Winkler, Michael ...and 1 more Co-Authors all top 5 Serials 8 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 Discrete and Continuous Dynamical Systems 4 Oberwolfach Reports 3 Communications in Mathematical Physics 3 Monatshefte für Mathematik 3 Ricerche di Matematica 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 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 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 96 Partial differential equations (35-XX) 73 Statistical mechanics, structure of matter (82-XX) 66 Fluid mechanics (76-XX) 21 Biology and other natural sciences (92-XX) 13 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) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-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 117 Publications have been cited 2,890 times in 1,506 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. 183 2005 Entropy dissipation and long-range interactions. Zbl 0968.76076 Alexandre, R.; Desvillettes, L.; Villani, C.; Wennberg, B. 144 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. 129 2001 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109 Desvillettes, Laurent; Villani, Cédric 113 2000 Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403 Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman 87 2009 On asymptotics of the Boltzmann equation when the collisions become grazing. Zbl 0769.76059 Desvillettes, L. 84 1992 On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. Zbl 0951.35130 Desvillettes, Laurent; Villani, Cédric 80 2000 Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. Zbl 1096.35018 Desvillettes, Laurent; Fellner, Klemens 73 2006 Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046 Baranger, Céline; Desvillettes, Laurent 69 2006 Improved duality estimates and applications to reaction-diffusion equations. Zbl 1295.35142 Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens 66 2014 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048 Bouchut, François; Golse, François; Pulvirenti, Mario 65 2000 About the regularizing properties of the non-cut-off Kac equation. Zbl 0827.76081 Desvillettes, Laurent 65 1995 Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. Zbl 1103.82020 Desvillettes, Laurent; Wennberg, Bernt 64 2004 On selection dynamics for continuous structured populations. Zbl 1176.45009 Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël 62 2008 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. 59 2005 Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211 Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien 56 2007 Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067 Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B. 49 1994 Some applications of the method of moments for the homogeneous Boltzmann and Kac equations. Zbl 0784.76081 Desvillettes, L. 47 1993 On the entropic structure of reaction-cross diffusion systems. Zbl 1331.35179 Desvillettes, L.; Lepoutre, T.; Moussa, A.; Trescases, A. 45 2015 Convergence to equilibrium in large time for Boltzmann and B.G.K. equations. Zbl 0705.76070 Desvillettes, L. 44 1990 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159 Bouchut, F.; Desvillettes, L. 43 1999 Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. Zbl 1325.35223 Desvillettes, L. 43 2015 The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018 Desvillettes, Laurent; Golse, François; Ricci, Valeria 40 2008 On long time asymptotics of the Vlasov-Poisson-Boltzmann equation. Zbl 0737.35127 Desvillettes, L.; Dolbeault, J. 39 1991 Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. Zbl 1171.35330 Desvillettes, Laurent; Fellner, Klemens 39 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 38 2017 On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032 Desvillettes, L.; Villani, Cédric 38 2002 A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014 Bouchut, François; Desvillettes, Laurent 35 1998 Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064 Chen, Yemin; Desvillettes, Laurent; He, Lingbing 35 2009 A logarithmic chemotaxis model featuring global existence and aggregation. Zbl 1430.92014 Desvillettes, Laurent; Kim, Yong-Jung; Trescases, Ariane; Yoon, Changwook 35 2019 Entropy, duality, and cross diffusion. Zbl 1293.35142 Desvillettes, L.; Lepoutre, Th.; Moussa, A. 35 2014 Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions. Zbl 1169.76054 Desvillettes, Laurent; Mouhot, Clément 34 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. 33 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 28 2012 The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019 Desvillettes, L.; Pulvirenti, M. 25 1999 About the splitting algorithm for Boltzmann and B.G.K. equations. Zbl 0876.35088 Desvillettes, L.; Mischler, S. 25 1996 Entropy dissipation rate and convergence in kinetic equations. Zbl 0688.76057 Desvillettes, L. 23 1989 New results for triangular reaction cross diffusion system. Zbl 1319.35077 Desvillettes, L.; Trescases, A. 23 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. 22 2015 Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. Zbl 1009.76081 Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie 22 1999 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. 21 2001 A modeling of compressible droplets in a fluid. Zbl 1084.76073 Boudin, Laurent; Desvillettes, Laurent; Motte, Renaud 21 2003 Entropy methods for reaction-diffusion systems. Zbl 1163.35322 Desvillettes, Laurent; Fellner, Klemens 21 2007 Asymptotic behavior of degenerate linear transport equations. Zbl 1180.35102 Desvillettes, Laurent; Salvarani, Francesco 20 2009 About the use of the Fourier transform for the Boltzmann equation. Zbl 1072.35513 Desvillettes, Laurent 20 2003 Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry. Zbl 1327.35374 Desvillettes, Laurent; Fellner, Klemens 20 2014 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 20 2015 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042 Bouchut, F.; Desvillettes, L. 20 2001 On the singularities of the global small solutions of the full Boltzmann equation. Zbl 0984.76076 Boudin, Laurent; Desvillettes, Laurent 19 2000 Asymptotics of steady states of a selection-mutation equation for small mutation rate. Zbl 1293.35341 Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Gaël, Raoul 19 2013 Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064 Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric 18 2011 Some aspects of the modeling at different scales of multiphase flows. Zbl 1227.76067 Desvillettes, Laurent 17 2010 Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. Zbl 1335.35115 Desvillettes, L.; Fellner, K. 17 2015 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 16 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. 16 2016 About \(L^p\) estimates for the spatially homogeneous Boltzmann equation. Zbl 1077.76060 Desvillettes, Laurent; Mouhot, Clément 15 2005 Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360 Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing 15 2017 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1134.82323 Bisi, M.; Desvillettes, L. 14 2006 Regularization for the non-cutoff 2D radially symmetric Boltzmann equation with a velocity dependent cross section. Zbl 0871.76077 Desvillettes, Laurent 14 1996 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 14 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. 14 2018 On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases. Zbl 1405.76041 Baranger, Céline; Bisi, Marzia; Brull, Stéphane; Desvillettes, Laurent 13 2018 Boltzmann’s kernel and the spatially homogeneous Boltzmann equation. Zbl 1078.76059 Desvillettes, Laurent 12 2001 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 Entropy dissipation estimates for the Landau equation: general cross sections. Zbl 1351.35206 Desvillettes, Laurent 11 2016 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 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-Navier-Stokes model for aerosol flows from kinetic theory. Zbl 1387.35441 Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria 10 2017 Hypocoercivity: the example of linear transport. Zbl 1107.35025 Desvillettes, Laurent 10 2006 Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Zbl 1501.35057 Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael 10 2023 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 9 2018 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227 Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 9 2020 About the entropic structure of detailed balanced multi-species cross-diffusion equations. Zbl 1405.35082 Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge 9 2019 Non-triangular cross-diffusion systems with predator-prey reaction terms. Zbl 1420.35435 Desvillettes, L.; Soresina, C. 9 2019 On a model Boltzmann equation without angular cutoff. Zbl 1013.76072 Desvillettes, L.; Golse, F. 8 2000 A remark concerning the Chapman-Enskog asymptotics. Zbl 0863.76071 Desvillettes, L.; Golse, F. 8 1994 Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model. Zbl 1144.82080 Carrillo, J. A.; Desvillettes, L.; Fellner, K. 7 2008 Smoothness of moments of the solutions of discrete coagulation equations with diffusion. Zbl 1419.39041 Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens 7 2017 Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation. Zbl 1160.76060 Bernis, Laurent; Desvillettes, Laurent 6 2009 Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases. Zbl 1301.82046 Bisi, Marzia; Desvillettes, Laurent 6 2014 Some aspects of the asymptotics leading from gas-particles equations towards multiphase flows equations. Zbl 1203.82080 Desvillettes, Laurent; Mathiaud, Julien 6 2010 Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis. Zbl 1469.35087 Desvillettes, Laurent; Giunta, Valeria 6 2021 Entropic methods for the study of the long time behavior of kinetic equations. Zbl 1038.82073 Desvillettes, L.; Villani, C. 5 2001 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. 5 2004 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 4 2009 Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Zbl 1351.35229 Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Raoul, Gaël 4 2016 Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070 Desvillettes, Laurent; Golse, François; Ricci, Valeria 4 2014 Fast-reaction limit for the inhomogeneous Aizenman-Bak model. Zbl 1148.35302 Carrillo, J. A.; Desvillettes, L.; Fellner, K. 4 2008 Plasma kinetic models: the Fokker-Planck-Landau equation. Zbl 1106.82026 Desvillettes, Laurent 3 2004 Some asymptotic limits of reaction-diffusion systems appearing in reversible chemistry. Zbl 1377.35153 Conforto, Fiammetta; Desvillettes, Laurent; Monaco, Roberto 3 2017 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 About the use of entropy production for the Landau-Fermi-Dirac equation. Zbl 1466.76054 Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. 3 2021 Control of modeling errors in the coupling of linear transport and diffusion models. Zbl 1286.35073 Chamoin, Ludovic; Desvillettes, Laurent 3 2013 Une minoration du terme de dissipation d’entropie pour le modèle de Kač de la cinétique des gaz. (On a lower bound for the entropy dissipation rate of Kač’s model of the kinetic theory of gases). Zbl 0657.76067 Desvillettes, Laurent 2 1988 Convergence towards the thermodynamical equilibrium. Zbl 0990.76078 Desvillettes, L. 2 2000 Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Zbl 1501.35057 Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael 10 2023 About the Landau-Fermi-Dirac equation with moderately soft potentials. Zbl 1489.35278 Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. 2 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 2 2022 Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis. Zbl 1469.35087 Desvillettes, Laurent; Giunta, Valeria 6 2021 About the use of entropy production for the Landau-Fermi-Dirac equation. Zbl 1466.76054 Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. 3 2021 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227 Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 9 2020 Rigorous study of the equilibria of collision kernels appearing in the theory of weak turbulence. Zbl 1444.76092 Breden, M.; Desvillettes, L. 1 2020 A logarithmic chemotaxis model featuring global existence and aggregation. Zbl 1430.92014 Desvillettes, Laurent; Kim, Yong-Jung; Trescases, Ariane; Yoon, Changwook 35 2019 About the entropic structure of detailed balanced multi-species cross-diffusion equations. Zbl 1405.35082 Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge 9 2019 Non-triangular cross-diffusion systems with predator-prey reaction terms. Zbl 1420.35435 Desvillettes, L.; Soresina, C. 9 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 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. 14 2018 On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases. Zbl 1405.76041 Baranger, Céline; Bisi, Marzia; Brull, Stéphane; Desvillettes, Laurent 13 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 9 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 38 2017 Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360 Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing 15 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 10 2017 Smoothness of moments of the solutions of discrete coagulation equations with diffusion. Zbl 1419.39041 Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens 7 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. 16 2016 Entropy dissipation estimates for the Landau equation: general cross sections. Zbl 1351.35206 Desvillettes, Laurent 11 2016 Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Zbl 1351.35229 Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Raoul, Gaël 4 2016 On the entropic structure of reaction-cross diffusion systems. Zbl 1331.35179 Desvillettes, L.; Lepoutre, T.; Moussa, A.; Trescases, A. 45 2015 Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. Zbl 1325.35223 Desvillettes, L. 43 2015 New results for triangular reaction cross diffusion system. Zbl 1319.35077 Desvillettes, L.; Trescases, A. 23 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. 22 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 20 2015 Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. Zbl 1335.35115 Desvillettes, L.; Fellner, K. 17 2015 Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114 Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime 2 2015 Improved duality estimates and applications to reaction-diffusion equations. Zbl 1295.35142 Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens 66 2014 Entropy, duality, and cross diffusion. Zbl 1293.35142 Desvillettes, L.; Lepoutre, Th.; Moussa, A. 35 2014 Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry. Zbl 1327.35374 Desvillettes, Laurent; Fellner, Klemens 20 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 14 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 6 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 19 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 28 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. 2 2012 Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064 Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric 18 2011 Some aspects of the modeling at different scales of multiphase flows. Zbl 1227.76067 Desvillettes, Laurent 17 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 6 2010 Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403 Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman 87 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 34 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 20 2009 Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation. Zbl 1160.76060 Bernis, Laurent; Desvillettes, Laurent 6 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 4 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 2 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. 1 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 On selection dynamics for continuous structured populations. Zbl 1176.45009 Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël 62 2008 The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018 Desvillettes, Laurent; Golse, François; Ricci, Valeria 40 2008 Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. Zbl 1171.35330 Desvillettes, Laurent; Fellner, Klemens 39 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 56 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 73 2006 Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046 Baranger, Céline; Desvillettes, Laurent 69 2006 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1134.82323 Bisi, M.; Desvillettes, L. 14 2006 Hypocoercivity: the example of linear transport. Zbl 1107.35025 Desvillettes, Laurent 10 2006 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1105.82022 Bisi, M.; Desvillettes, L. 1 2006 On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. Zbl 1162.82316 Desvillettes, L.; Villani, C. 183 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. 59 2005 About \(L^p\) estimates for the spatially homogeneous Boltzmann equation. Zbl 1077.76060 Desvillettes, Laurent; Mouhot, Clément 15 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. 33 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. 5 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 21 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 38 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. 129 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. 21 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. 144 2000 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109 Desvillettes, Laurent; Villani, Cédric 113 2000 On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. Zbl 0951.35130 Desvillettes, Laurent; Villani, Cédric 80 2000 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048 Bouchut, François; Golse, François; Pulvirenti, Mario 65 2000 On the singularities of the global small solutions of the full Boltzmann equation. Zbl 0984.76076 Boudin, Laurent; Desvillettes, Laurent 19 2000 On a model Boltzmann equation without angular cutoff. Zbl 1013.76072 Desvillettes, L.; Golse, F. 8 2000 Convergence towards the thermodynamical equilibrium. Zbl 0990.76078 Desvillettes, L. 2 2000 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159 Bouchut, F.; Desvillettes, L. 43 1999 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,388 Authors 71 Desvillettes, Laurent 34 Yang, Tong 33 Perthame, Benoît 28 Fellner, Klemens 27 Duan, Renjun 26 Morimoto, Yoshinori 24 Mouhot, Clément 22 Carrillo de la Plata, José Antonio 22 Lorenzi, Tommaso 21 Tang, Bao Quoc 19 Ha, Seung-Yeal 18 Choi, Young-Pil 18 Xu, Chao-Jiang 17 Alonso, Ricardo J. 17 Bisi, Marzia 17 Jabin, Pierre-Emmanuel 17 Strain, Robert M. 17 Yu, Hongjun 16 Martínez Gamba, Irene 16 He, Lingbing 16 Salvarani, Francesco 16 Toscani, Giuseppe 16 Zhang, Xianwen 15 Golse, François 15 Jüngel, Ansgar 15 Ukai, Seiji 15 Villani, Cédric 14 Fournier, Nicolas 14 Lods, Bertrand 14 Ruggeri, Tommaso 13 Alexandre, Radjesvarane 13 Li, Weixi 13 Mirrahimi, Sepideh 13 Mischler, Stéphane 12 Briant, Marc 12 Cañizo, José Alfredo 12 Carrapatoso, Kleber 12 Daus, Esther S. 12 Guo, Yan 12 Henderson, Christopher 12 Winkler, Michael 11 Dolbeault, Jean 11 Lu, Xuguang 11 Nota, Alessia 11 Pierre, Michel 10 Carlen, Eric Anders 10 Jung, Jinwook 10 Kim, Chanwoo 10 Liu, Shuangqian 10 Silvestre, Luis E. 10 Snelson, Stanley 10 Velázquez, Juan J. L. 10 Wennberg, Bernt 10 Yun, Seok-Bae 10 Zhao, Huijiang 9 Boudin, Laurent 9 Deng, Dingqun 9 Jin, Shi 9 Kim, Yongjung 9 Li, Haoguang 9 Moussa, Ayman 9 Spiga, Giampiero 9 Trescases, Ariane 9 Vasseur, Alexis F. 8 Goudon, Thierry 8 Han-Kwan, Daniel 8 Hérau, Frédéric 8 Höfer, Richard M. 8 Hwang, Hyung Ju 8 Morgan, Jeff J. 8 Pascucci, Andrea 8 Saffirio, Chiara 8 Schmeiser, Christian 8 Zhou, Yulong 7 Arnold, Anton 7 Degond, Pierre 7 Dimarco, Giacomo 7 Jang, Jin Woo 7 Jiang, Jie 7 Laurençot, Philippe 7 Lee, Donghyun 7 Lemou, Mohammed 7 Méléard, Sylvie 7 Polidoro, Sergio 7 Pulvirenti, Mario 7 Saint-Raymond, Laure 7 Soresina, Cinzia 7 Souganidis, Panagiotis E. 7 Winter, Raphael 7 Zamponi, Nicola 7 Zhang, Yinghui 6 Aoki, Kazuo 6 Arima, Takashi 6 Bagland, Véronique 6 Bobylev, Alexandre Vasiljévitch 6 Bouchut, François 6 Breden, Maxime 6 Brull, Stephane 6 Buet, Christophe 6 Carvalho, Maria Conceição ...and 1,288 more Authors all top 5 Cited in 220 Serials 110 Journal of Differential Equations 93 Journal of Statistical Physics 71 Archive for Rational Mechanics and Analysis 62 Kinetic and Related Models 60 SIAM Journal on Mathematical Analysis 54 Communications in Mathematical Physics 41 Journal of Computational Physics 38 M\(^3\)AS. 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