Edit Profile (opens in new tab) Desvillettes, Laurent Compute Distance To: Compute Author ID: desvillettes.laurent Published as: Desvillettes, Laurent; Desvillettes, L. Documents Indexed: 132 Publications since 1988 8 Contributions as Editor Co-Authors: 97 Co-Authors with 115 Joint Publications 2,338 Co-Co-Authors all top 5 Co-Authors 23 single-authored 15 Fellner, Klemens 10 Ricci, Valeria 10 Villani, Cédric 9 Bisi, Marzia 8 Golse, François 6 Arnold, Anton 5 Monaco, Roberto 4 Bouchut, François 4 Carrillo de la Plata, José Antonio 4 Conforto, Fiammetta 4 Mouhot, Clément 4 Moussa, Ayman 4 Salvarani, Francesco 4 Spiga, Giampiero 4 Trescases, Ariane 3 Baranger, Céline 3 Boudin, Laurent 3 Breden, Maxime 3 Carlen, Eric Anders 3 Jüngel, Ansgar 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 He, Lingbing 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 Alexandre, Radjesvarane 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 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 Kim, Yong Jung 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 1 Yoon, Changwook 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 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 95 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 112 Publications have been cited 2,572 times in 1,327 Documents Cited by ▼ Year ▼ On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. Zbl 1162.82316Desvillettes, L.; Villani, C. 158 2005 Entropy dissipation and long-range interactions. Zbl 0968.76076Alexandre, R.; Desvillettes, L.; Villani, C.; Wennberg, B. 129 2000 On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation. Zbl 1029.82032Desvillettes, L.; Villani, C. 117 2001 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109Desvillettes, Laurent; Villani, Cédric 103 2000 On asymptotics of the Boltzmann equation when the collisions become grazing. Zbl 0769.76059Desvillettes, L. 77 1992 On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. Zbl 0951.35130Desvillettes, Laurent; Villani, Cédric 73 2000 Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman 72 2009 Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. Zbl 1096.35018Desvillettes, Laurent; Fellner, Klemens 69 2006 About the regularizing properties of the non-cut-off Kac equation. Zbl 0827.76081Desvillettes, Laurent 62 1995 Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. Zbl 1103.82020Desvillettes, Laurent; Wennberg, Bernt 60 2004 Improved duality estimates and applications to reaction-diffusion equations. Zbl 1295.35142Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens 58 2014 On selection dynamics for continuous structured populations. Zbl 1176.45009Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël 55 2008 Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046Baranger, Céline; Desvillettes, Laurent 55 2006 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 53 2000 A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions. Zbl 1060.76100Desvillettes, L.; Monaco, R.; Salvarani, F. 52 2005 Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien 51 2007 Some applications of the method of moments for the homogeneous Boltzmann and Kac equations. Zbl 0784.76081Desvillettes, L. 43 1993 Convergence to equilibrium in large time for Boltzmann and B.G.K. equations. Zbl 0705.76070Desvillettes, L. 41 1990 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159Bouchut, F.; Desvillettes, L. 41 1999 Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B. 40 1994 Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. Zbl 1325.35223Desvillettes, L. 39 2015 On long time asymptotics of the Vlasov-Poisson-Boltzmann equation. Zbl 0737.35127Desvillettes, L.; Dolbeault, J. 39 1991 Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. Zbl 1171.35330Desvillettes, Laurent; Fellner, Klemens 38 2008 On the entropic structure of reaction-cross diffusion systems. Zbl 1331.35179Desvillettes, L.; Lepoutre, T.; Moussa, A.; Trescases, A. 37 2015 The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018Desvillettes, Laurent; Golse, François; Ricci, Valeria 36 2008 Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks. Zbl 1368.35036Desvillettes, Laurent; Fellner, Klemens; Tang, Bao Quoc 35 2017 Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064Chen, Yemin; Desvillettes, Laurent; He, Lingbing 34 2009 On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032Desvillettes, L.; Villani, Cédric 34 2002 A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014Bouchut, François; Desvillettes, Laurent 32 1998 Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions. Zbl 1169.76054Desvillettes, Laurent; Mouhot, Clément 32 2009 Entropy, duality, and cross diffusion. Zbl 1293.35142Desvillettes, L.; Lepoutre, Th.; Moussa, A. 31 2014 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 31 2004 Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules. Zbl 1159.76044Desvillettes, Laurent; Furioli, Giulia; Terraneo, Elide 30 2009 Existence of nontrivial steady states for populations structured with respect to space and a continuous trait. Zbl 1303.92091Arnold, Anton; Desvillettes, Laurent; Prévost, Céline 27 2012 Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules. Zbl 0901.76072Desvillettes, Laurent 26 1997 About the splitting algorithm for Boltzmann and B.G.K. equations. Zbl 0876.35088Desvillettes, L.; Mischler, S. 24 1996 Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments. Zbl 1343.92320Lorenzi, Tommaso; Chisholm, Rebecca H.; Desvillettes, Laurent; Hughes, Barry D. 22 2015 Entropy dissipation rate and convergence in kinetic equations. Zbl 0688.76057Desvillettes, L. 22 1989 The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019Desvillettes, L.; Pulvirenti, M. 22 1999 Entropy methods for reaction-diffusion systems. Zbl 1163.35322Desvillettes, Laurent; Fellner, Klemens 21 2007 New results for triangular reaction cross diffusion system. Zbl 1319.35077Desvillettes, L.; Trescases, A. 21 2015 Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. Zbl 1009.76081Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie 20 1999 A logarithmic chemotaxis model featuring global existence and aggregation. Zbl 1430.92014Desvillettes, Laurent; Kim, Yong-Jung; Trescases, Ariane; Yoon, Changwook 20 2019 Asymptotics of steady states of a selection-mutation equation for small mutation rate. Zbl 1293.35341Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Gaël, Raoul 19 2013 On the singularities of the global small solutions of the full Boltzmann equation. Zbl 0984.76076Boudin, Laurent; Desvillettes, Laurent 19 2000 A modeling of compressible droplets in a fluid. Zbl 1084.76073Boudin, Laurent; Desvillettes, Laurent; Motte, Renaud 19 2003 About the use of the Fourier transform for the Boltzmann equation. Zbl 1072.35513Desvillettes, Laurent 18 2003 Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry. Zbl 1327.35374Desvillettes, Laurent; Fellner, Klemens 18 2014 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042Bouchut, F.; Desvillettes, L. 18 2001 A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions. Zbl 1051.82022Desvillettes, L.; Ricci, V. 18 2001 Asymptotic behavior of degenerate linear transport equations. Zbl 1180.35102Desvillettes, Laurent; Salvarani, Francesco 17 2009 Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences. Zbl 1364.35380Chisholm, Rebecca H.; Lorenzi, Tommaso; Desvillettes, Laurent; Hughes, Barry D. 16 2016 Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. Zbl 1335.35115Desvillettes, L.; Fellner, K. 16 2015 Polynomial propagation of moments and global existence for a Vlasov-Poisson system with a point charge. Zbl 1323.35178Desvillettes, Laurent; Miot, Evelyne; Saffirio, Chiara 16 2015 Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric 15 2011 About \(L^p\) estimates for the spatially homogeneous Boltzmann equation. Zbl 1077.76060Desvillettes, Laurent; Mouhot, Clément 15 2005 Some aspects of the modeling at different scales of multiphase flows. Zbl 1227.76067Desvillettes, Laurent 14 2010 Regularization for the non-cutoff 2D radially symmetric Boltzmann equation with a velocity dependent cross section. Zbl 0871.76077Desvillettes, Laurent 14 1996 Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing 13 2017 Existence theory for the kinetic-fluid coupling when small droplets are treated as part of the fluid. Zbl 1293.35020Benjelloun, Saad; Desvillettes, Laurent; Moussa, Ayman 13 2014 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1134.82323Bisi, M.; Desvillettes, L. 12 2006 Boltzmann’s kernel and the spatially homogeneous Boltzmann equation. Zbl 1078.76059Desvillettes, Laurent 12 2001 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 0894.35086Desvillettes, Laurent 12 1997 About entropy methods for reaction-diffusion equations. Zbl 1171.35409Desvillettes, L. 11 2007 About reaction-diffusion systems involving the Holling-type II and the Beddington-DeAngelis functional responses for predator-prey models. Zbl 1392.35181Conforto, F.; Desvillettes, Laurent; Soresina, C. 10 2018 Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion. Zbl 1193.35091Cañizo, J. A.; Desvillettes, L.; Fellner, K. 10 2010 Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials. Zbl 1141.35337Desvillettes, Laurent; Mouhot, Clément 10 2007 Quasi-steady-state approximation for reaction-diffusion equations. Zbl 1142.35466Bisi, Marzia; Conforto, Fiammetta; Desvillettes, Laurent 10 2007 A derivation of the Vlasov-Navier-Stokes model for aerosol flows from kinetic theory. Zbl 1387.35441Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria 10 2017 Rigorous passage to the limit in a system of reaction-diffusion equations towards a system including cross diffusions. Zbl 1320.35025Conforto, Fiammetta; Desvillettes, Laurent 10 2014 Entropy dissipation estimates for the Landau equation: general cross sections. Zbl 1351.35206Desvillettes, Laurent 9 2016 Hypocoercivity: the example of linear transport. Zbl 1107.35025Desvillettes, Laurent 9 2006 A derivation of the Vlasov-Stokes system for aerosol flows from the kinetic theory of binary gas mixtures. Zbl 1375.35297Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria 9 2018 A remark concerning the Chapman-Enskog asymptotics. Zbl 0863.76071Desvillettes, L.; Golse, F. 8 1994 On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases. Zbl 1405.76041Baranger, Céline; Bisi, Marzia; Brull, Stéphane; Desvillettes, Laurent 7 2018 Non-triangular cross-diffusion systems with predator-prey reaction terms. Zbl 1420.35435Desvillettes, L.; Soresina, C. 7 2019 On a model Boltzmann equation without angular cutoff. Zbl 1013.76072Desvillettes, L.; Golse, F. 7 2000 Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model. Zbl 1144.82080Carrillo, J. A.; Desvillettes, L.; Fellner, K. 6 2008 About the entropic structure of detailed balanced multi-species cross-diffusion equations. Zbl 1405.35082Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge 6 2019 Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation. Zbl 1160.76060Bernis, Laurent; Desvillettes, Laurent 6 2009 Some aspects of the asymptotics leading from gas-particles equations towards multiphase flows equations. Zbl 1203.82080Desvillettes, Laurent; Mathiaud, Julien 6 2010 Smoothness of moments of the solutions of discrete coagulation equations with diffusion. Zbl 1419.39041Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens 5 2017 The Boltzmann-Grad limit of a stochastic Lorentz gas in a force field. Zbl 1214.82088Desvillettes, L.; Ricci, V. 5 2007 Entropic methods for the study of the long time behavior of kinetic equations. Zbl 1038.82073Desvillettes, L.; Villani, C. 5 2001 Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Zbl 1351.35229Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Raoul, Gaël 4 2016 Fast-reaction limit for the inhomogeneous Aizenman-Bak model. Zbl 1148.35302Carrillo, J. A.; Desvillettes, L.; Fellner, K. 4 2008 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 4 2020 Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070Desvillettes, Laurent; Golse, François; Ricci, Valeria 4 2014 Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics. Zbl 1155.35312Bisi, Marzia; Desvillettes, Laurent; Spiga, Giampiero 4 2009 Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases. Zbl 1301.82046Bisi, Marzia; Desvillettes, Laurent 4 2014 Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field. Zbl 1048.82004Desvillettes, L.; Ricci, V. 4 2004 A formal passage from a system of Boltzmann equations for mixtures towards a Vlasov-Euler system of compressible fluids. Zbl 1417.35085Desvillettes, Laurent; Golse, François; Ricci, Valeria 3 2019 Control of modeling errors in the coupling of linear transport and diffusion models. Zbl 1286.35073Chamoin, Ludovic; Desvillettes, Laurent 3 2013 Plasma kinetic models: the Fokker-Planck-Landau equation. Zbl 1106.82026Desvillettes, Laurent 3 2004 Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis. Zbl 1469.35087Desvillettes, Laurent; Giunta, Valeria 3 2021 Convergence towards the thermodynamical equilibrium. Zbl 0990.76078Desvillettes, L. 2 2000 About the link between the detailed description of transitions in an ion and the average-ion models. Zbl 1181.35164Cavallaro, Guido; Desvillettes, Laurent; Ricci, Valeria 2 2009 A vectorizable simulation method for the Boltzmann equation. Zbl 0819.76060Desvillettes, Laurent; Peralta Herrera, Raymundo E. 2 1994 Small mass ratio limit of Boltzmann equations in the Context of the study of evolution of dust particles in a rarefied atmosphere. Zbl 1236.82053Charles, Frédérique; Desvillettes, Laurent 2 2009 Duality- and entropy methods in coagulation-fragmentation models. Zbl 1294.82042Desvillettes, Laurent; Fellner, Klemens 2 2013 Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Zbl 1501.35057Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael 1 2023 Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis. Zbl 1469.35087Desvillettes, Laurent; Giunta, Valeria 3 2021 About the use of entropy production for the Landau-Fermi-Dirac equation. Zbl 1466.76054Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B. 1 2021 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 4 2020 A logarithmic chemotaxis model featuring global existence and aggregation. Zbl 1430.92014Desvillettes, Laurent; Kim, Yong-Jung; Trescases, Ariane; Yoon, Changwook 20 2019 Non-triangular cross-diffusion systems with predator-prey reaction terms. Zbl 1420.35435Desvillettes, L.; Soresina, C. 7 2019 About the entropic structure of detailed balanced multi-species cross-diffusion equations. Zbl 1405.35082Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge 6 2019 A formal passage from a system of Boltzmann equations for mixtures towards a Vlasov-Euler system of compressible fluids. Zbl 1417.35085Desvillettes, 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 1392.35181Conforto, F.; Desvillettes, Laurent; Soresina, C. 10 2018 A derivation of the Vlasov-Stokes system for aerosol flows from the kinetic theory of binary gas mixtures. Zbl 1375.35297Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria 9 2018 On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases. Zbl 1405.76041Baranger, Céline; Bisi, Marzia; Brull, Stéphane; Desvillettes, Laurent 7 2018 Homogenization of the discrete diffusive coagulation-fragmentation equations in perforated domains. Zbl 1402.35030Desvillettes, Laurent; Lorenzani, Silvia 1 2018 Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks. Zbl 1368.35036Desvillettes, Laurent; Fellner, Klemens; Tang, Bao Quoc 35 2017 Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing 13 2017 A derivation of the Vlasov-Navier-Stokes model for aerosol flows from kinetic theory. Zbl 1387.35441Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria 10 2017 Smoothness of moments of the solutions of discrete coagulation equations with diffusion. Zbl 1419.39041Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens 5 2017 Some asymptotic limits of reaction-diffusion systems appearing in reversible chemistry. Zbl 1377.35153Conforto, Fiammetta; Desvillettes, Laurent; Monaco, Roberto 1 2017 Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences. Zbl 1364.35380Chisholm, Rebecca H.; Lorenzi, Tommaso; Desvillettes, Laurent; Hughes, Barry D. 16 2016 Entropy dissipation estimates for the Landau equation: general cross sections. Zbl 1351.35206Desvillettes, Laurent 9 2016 Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Zbl 1351.35229Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Raoul, Gaël 4 2016 Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. Zbl 1325.35223Desvillettes, L. 39 2015 On the entropic structure of reaction-cross diffusion systems. Zbl 1331.35179Desvillettes, L.; Lepoutre, T.; Moussa, A.; Trescases, A. 37 2015 Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments. Zbl 1343.92320Lorenzi, Tommaso; Chisholm, Rebecca H.; Desvillettes, Laurent; Hughes, Barry D. 22 2015 New results for triangular reaction cross diffusion system. Zbl 1319.35077Desvillettes, L.; Trescases, A. 21 2015 Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. Zbl 1335.35115Desvillettes, L.; Fellner, K. 16 2015 Polynomial propagation of moments and global existence for a Vlasov-Poisson system with a point charge. Zbl 1323.35178Desvillettes, Laurent; Miot, Evelyne; Saffirio, Chiara 16 2015 Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime 1 2015 Improved duality estimates and applications to reaction-diffusion equations. Zbl 1295.35142Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens 58 2014 Entropy, duality, and cross diffusion. Zbl 1293.35142Desvillettes, L.; Lepoutre, Th.; Moussa, A. 31 2014 Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry. Zbl 1327.35374Desvillettes, Laurent; Fellner, Klemens 18 2014 Existence theory for the kinetic-fluid coupling when small droplets are treated as part of the fluid. Zbl 1293.35020Benjelloun, Saad; Desvillettes, Laurent; Moussa, Ayman 13 2014 Rigorous passage to the limit in a system of reaction-diffusion equations towards a system including cross diffusions. Zbl 1320.35025Conforto, Fiammetta; Desvillettes, Laurent 10 2014 Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070Desvillettes, Laurent; Golse, François; Ricci, Valeria 4 2014 Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases. Zbl 1301.82046Bisi, Marzia; Desvillettes, Laurent 4 2014 Asymptotics of steady states of a selection-mutation equation for small mutation rate. Zbl 1293.35341Calsina, Àngel; Cuadrado, Sílvia; Desvillettes, Laurent; Gaël, Raoul 19 2013 Control of modeling errors in the coupling of linear transport and diffusion models. Zbl 1286.35073Chamoin, Ludovic; Desvillettes, Laurent 3 2013 Duality- and entropy methods in coagulation-fragmentation models. Zbl 1294.82042Desvillettes, Laurent; Fellner, Klemens 2 2013 A coherent derivation of an average ion model including the evolution of correlations between different shells. Zbl 1331.82058Bouche, 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 1303.92091Arnold, Anton; Desvillettes, Laurent; Prévost, Céline 27 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 1264.82132Benjelloun, S.; Desvillettes, L.; Ghidaglia, J. M.; Nielsen, K. 2 2012 Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric 15 2011 Some aspects of the modeling at different scales of multiphase flows. Zbl 1227.76067Desvillettes, Laurent 14 2010 Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion. Zbl 1193.35091Cañizo, J. A.; Desvillettes, L.; Fellner, K. 10 2010 Some aspects of the asymptotics leading from gas-particles equations towards multiphase flows equations. Zbl 1203.82080Desvillettes, Laurent; Mathiaud, Julien 6 2010 Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman 72 2009 Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064Chen, Yemin; Desvillettes, Laurent; He, Lingbing 34 2009 Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions. Zbl 1169.76054Desvillettes, Laurent; Mouhot, Clément 32 2009 Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules. Zbl 1159.76044Desvillettes, Laurent; Furioli, Giulia; Terraneo, Elide 30 2009 Asymptotic behavior of degenerate linear transport equations. Zbl 1180.35102Desvillettes, Laurent; Salvarani, Francesco 17 2009 Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation. Zbl 1160.76060Bernis, Laurent; Desvillettes, Laurent 6 2009 Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics. Zbl 1155.35312Bisi, Marzia; Desvillettes, Laurent; Spiga, Giampiero 4 2009 About the link between the detailed description of transitions in an ion and the average-ion models. Zbl 1181.35164Cavallaro, Guido; Desvillettes, Laurent; Ricci, Valeria 2 2009 Small mass ratio limit of Boltzmann equations in the Context of the study of evolution of dust particles in a rarefied atmosphere. Zbl 1236.82053Charles, Frédérique; Desvillettes, Laurent 2 2009 Cédric Villani, 2008 European Mathematical Society Prize. (Cédric Villani reçoit un prix de la société mathématiques européenne.) Zbl 1171.01314Desvillettes, Laurent; Figalli, Alessio 1 2009 Rigorous derivation of a nonlinear diffusion equation as fast-reaction limit of a continuous coagulation-fragmentation model with diffusion. Zbl 1184.35020Carrillo, J. A.; Desvillettes, L.; Fellner, K. 1 2009 On selection dynamics for continuous structured populations. Zbl 1176.45009Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël 55 2008 Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. Zbl 1171.35330Desvillettes, Laurent; Fellner, Klemens 38 2008 The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018Desvillettes, Laurent; Golse, François; Ricci, Valeria 36 2008 Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model. Zbl 1144.82080Carrillo, J. A.; Desvillettes, L.; Fellner, K. 6 2008 Fast-reaction limit for the inhomogeneous Aizenman-Bak model. Zbl 1148.35302Carrillo, J. A.; Desvillettes, L.; Fellner, K. 4 2008 Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien 51 2007 Entropy methods for reaction-diffusion systems. Zbl 1163.35322Desvillettes, Laurent; Fellner, Klemens 21 2007 About entropy methods for reaction-diffusion equations. Zbl 1171.35409Desvillettes, L. 11 2007 Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials. Zbl 1141.35337Desvillettes, Laurent; Mouhot, Clément 10 2007 Quasi-steady-state approximation for reaction-diffusion equations. Zbl 1142.35466Bisi, Marzia; Conforto, Fiammetta; Desvillettes, Laurent 10 2007 The Boltzmann-Grad limit of a stochastic Lorentz gas in a force field. Zbl 1214.82088Desvillettes, L.; Ricci, V. 5 2007 Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. Zbl 1096.35018Desvillettes, Laurent; Fellner, Klemens 69 2006 Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046Baranger, Céline; Desvillettes, Laurent 55 2006 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1134.82323Bisi, M.; Desvillettes, L. 12 2006 Hypocoercivity: the example of linear transport. Zbl 1107.35025Desvillettes, Laurent 9 2006 From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1105.82022Bisi, M.; Desvillettes, L. 1 2006 On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. Zbl 1162.82316Desvillettes, L.; Villani, C. 158 2005 A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions. Zbl 1060.76100Desvillettes, L.; Monaco, R.; Salvarani, F. 52 2005 About \(L^p\) estimates for the spatially homogeneous Boltzmann equation. Zbl 1077.76060Desvillettes, Laurent; Mouhot, Clément 15 2005 Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. Zbl 1103.82020Desvillettes, Laurent; Wennberg, Bernt 60 2004 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 31 2004 Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field. Zbl 1048.82004Desvillettes, L.; Ricci, V. 4 2004 Plasma kinetic models: the Fokker-Planck-Landau equation. Zbl 1106.82026Desvillettes, Laurent 3 2004 Rate of convergence toward the equilibrium in degenerate settings. Zbl 1069.35011Desvillettes, L.; Villani, C. 1 2004 A modeling of compressible droplets in a fluid. Zbl 1084.76073Boudin, Laurent; Desvillettes, Laurent; Motte, Renaud 19 2003 About the use of the Fourier transform for the Boltzmann equation. Zbl 1072.35513Desvillettes, Laurent 18 2003 On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032Desvillettes, L.; Villani, Cédric 34 2002 On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation. Zbl 1029.82032Desvillettes, L.; Villani, C. 117 2001 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042Bouchut, F.; Desvillettes, L. 18 2001 A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions. Zbl 1051.82022Desvillettes, L.; Ricci, V. 18 2001 Boltzmann’s kernel and the spatially homogeneous Boltzmann equation. Zbl 1078.76059Desvillettes, Laurent 12 2001 Entropic methods for the study of the long time behavior of kinetic equations. Zbl 1038.82073Desvillettes, L.; Villani, C. 5 2001 Entropy dissipation and long-range interactions. Zbl 0968.76076Alexandre, R.; Desvillettes, L.; Villani, C.; Wennberg, B. 129 2000 On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109Desvillettes, Laurent; Villani, Cédric 103 2000 On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. Zbl 0951.35130Desvillettes, Laurent; Villani, Cédric 73 2000 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 53 2000 On the singularities of the global small solutions of the full Boltzmann equation. Zbl 0984.76076Boudin, Laurent; Desvillettes, Laurent 19 2000 On a model Boltzmann equation without angular cutoff. Zbl 1013.76072Desvillettes, L.; Golse, F. 7 2000 Convergence towards the thermodynamical equilibrium. Zbl 0990.76078Desvillettes, L. 2 2000 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159Bouchut, F.; Desvillettes, L. 41 1999 The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019Desvillettes, L.; Pulvirenti, M. 22 1999 Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. Zbl 1009.76081Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie 20 1999 A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014Bouchut, François; Desvillettes, Laurent 32 1998 Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules. Zbl 0901.76072Desvillettes, Laurent 26 1997 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 0894.35086Desvillettes, Laurent 12 1997 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,251 Authors 69 Desvillettes, Laurent 34 Yang, Tong 32 Perthame, Benoît 27 Fellner, Klemens 26 Morimoto, Yoshinori 24 Duan, Renjun 24 Mouhot, Clément 22 Lorenzi, Tommaso 21 Carrillo de la Plata, José Antonio 19 Xu, Chao-Jiang 18 Ha, Seung-Yeal 17 Bisi, Marzia 17 Strain, Robert M. 17 Yu, Hongjun 16 Alexandre, Radjesvarane 16 Choi, Young-Pil 16 Tang, Bao Quoc 15 Jabin, Pierre-Emmanuel 15 Salvarani, Francesco 15 Toscani, Giuseppe 15 Ukai, Seiji 15 Villani, Cédric 15 Zhang, Xianwen 14 Fournier, Nicolas 14 Martínez Gamba, Irene 14 Golse, François 14 He, Lingbing 14 Ruggeri, Tommaso 13 Alonso, Ricardo J. 13 Jüngel, Ansgar 12 Cañizo, José Alfredo 12 Daus, Esther S. 12 Li, Weixi 12 Lods, Bertrand 12 Mirrahimi, Sepideh 12 Mischler, Stéphane 11 Dolbeault, Jean 11 Henderson, Christopher 11 Moussa, Ayman 10 Briant, Marc 10 Carrapatoso, Kleber 10 Liu, Shuangqian 10 Lu, Xuguang 10 Nota, Alessia 10 Pierre, Michel 10 Velázquez, Juan J. L. 10 Wennberg, Bernt 10 Zhao, Huijiang 9 Carlen, Eric Anders 9 Guo, Yan 9 Jin, Shi 9 Snelson, Stanley 9 Spiga, Giampiero 9 Vasseur, Alexis F. 9 Yun, Seok-Bae 8 Goudon, Thierry 8 Han-Kwan, Daniel 8 Hérau, Frédéric 8 Jung, Jinwook 8 Kim, Chanwoo 8 Silvestre, Luis E. 7 Boudin, Laurent 7 Degond, Pierre 7 Dimarco, Giacomo 7 Höfer, Richard M. 7 Hwang, Hyung Ju 7 Lemou, Mohammed 7 Morgan, Jeff J. 7 Polidoro, Sergio 7 Pulvirenti, Mario 7 Saint-Raymond, Laure 7 Schmeiser, Christian 7 Soresina, Cinzia 7 Souganidis, Panagiotis E. 6 Aoki, Kazuo 6 Arnold, Anton 6 Bobylev, Alexandre Vasiljévitch 6 Bouchut, François 6 Brull, Stephane 6 Buet, Christophe 6 Carvalho, Maria Conceição 6 Chen, Zili 6 Cordier, Stéphane 6 Gualdani, Maria Pia 6 Jang, Jin Woo 6 Lerner, Nicolas 6 Li, Haoguang 6 Lorz, Alexander 6 Loubère, Raphaël 6 Lucquin-Desreux, Brigitte 6 Méléard, Sylvie 6 Mielke, Alexander 6 Mokhtar-Kharroubi, Mustapha 6 Pascucci, Andrea 6 Raoul, Gaël 6 Saffirio, Chiara 6 Trescases, Ariane 6 Winter, Raphael 6 Wu, Kung-Chien 6 Xiao, Qinghua ...and 1,151 more Authors all top 5 Cited in 197 Serials 101 Journal of Differential Equations 87 Journal of Statistical Physics 69 Archive for Rational Mechanics and Analysis 54 Communications in Mathematical Physics 54 Kinetic and Related Models 49 SIAM Journal on Mathematical Analysis 38 Journal of Computational Physics 37 M\(^3\)AS. 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Quatrième Série 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society ...and 97 more Serials all top 5 Cited in 43 Fields 1,023 Partial differential equations (35-XX) 540 Statistical mechanics, structure of matter (82-XX) 493 Fluid mechanics (76-XX) 214 Biology and other natural sciences (92-XX) 112 Probability theory and stochastic processes (60-XX) 100 Numerical analysis (65-XX) 82 Integral equations (45-XX) 55 Operator theory (47-XX) 38 Classical thermodynamics, heat transfer (80-XX) 34 Dynamical systems and ergodic theory (37-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 28 Ordinary differential equations (34-XX) 22 Quantum theory (81-XX) 20 Optics, electromagnetic theory (78-XX) 19 Real functions (26-XX) 19 Functional analysis (46-XX) 17 Mechanics of deformable solids (74-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Mechanics of particles and systems (70-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Systems theory; control (93-XX) 7 Relativity and gravitational theory (83-XX) 6 Difference and functional equations (39-XX) 6 Approximations and expansions (41-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 4 Measure and integration (28-XX) 4 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) Citations by Year