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## Desvillettes, Laurent

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 Author ID: desvillettes.laurent Published as: Desvillettes, Laurent; Desvillettes, L.
 Documents Indexed: 131 Publications since 1988, including 2 Books
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#### Co-Authors

 22 single-authored 15 Fellner, Klemens 10 Ricci, Valeria 10 Villani, Cédric 9 Bisi, Marzia 7 Golse, François 6 Arnold, Anton 5 Monaco, Roberto 4 Carrillo de la Plata, José Antonio 4 Conforto, Fiammetta 4 Mouhot, Clément 4 Moussa, Ayman 4 Salvarani, Francesco 4 Spiga, Giampiero 3 Baranger, Céline 3 Bouchut, François 3 Boudin, Laurent 3 Breden, Maxime 3 Carlen, Eric Anders 3 Jüngel, Ansgar 3 Trescases, Ariane 2 Benjelloun, Saad 2 Bernard, Étienne 2 Brull, Stephane 2 Calsina, Àngel 2 Cañizo, José Alfredo 2 Chisholm, Rebecca H. 2 Cuadrado, Sílvia 2 Daus, Esther S. 2 Dolbeault, Jean 2 Frosali, Giovanni 2 He, Lingbing 2 Hughes, Barry D. 2 Lepoutre, Thomas 2 Lorenzi, Tommaso 2 Mathiaud, Julien 2 Mischler, Stéphane 2 Raoul, Gaël 2 Soresina, Cinzia 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 Carrapatoso, Kleber 1 Cavallaro, Guido 1 Cercignani, Carlo 1 Chamoin, Ludovic 1 Champmartin, Aude 1 Charles, Frédérique 1 Chen, Li 1 Chen, Yemin 1 Decoster, Alain 1 Dietert, Helge 1 Figalli, Alessio 1 Furioli, Giulia 1 Gaël, Raoul 1 Ghidaglia, Jean-Michel 1 Giunta, Valeria 1 Graham, Carl 1 Grandmont, Céline 1 Grillot, Michèle 1 Grillot, Philippe 1 Jabin, Pierre-Emmanuel 1 Kim, Yong Jung 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 Motte, Renaud 1 Peralta Herrera, Raymundo E. 1 Perthame, Benoît 1 Pierre, Michel 1 Prévost, Céline 1 Pulvirenti, Mario 1 Saffirio, Chiara 1 Tang, Bao Quoc 1 Terraneo, Elide 1 Vovelle, Julien 1 Yoon, Changwook
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#### Serials

 7 Archive for Rational Mechanics and Analysis 7 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 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 Revista Matemática Iberoamericana 2 Asymptotic Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 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 Differential Equations 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Advanced Nonlinear Studies 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 Séminaire Laurent Schwartz. EDP et Applications
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#### Fields

 87 Partial differential equations (35-XX) 70 Statistical mechanics, structure of matter (82-XX) 62 Fluid mechanics (76-XX) 18 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) 4 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)

#### Citations contained in zbMATH Open

106 Publications have been cited 2,129 times in 1,108 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.
2005
Entropy dissipation and long-range interactions. Zbl 0968.76076
Alexandre, R.; Desvillettes, L.; Villani, C.; Wennberg, B.
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.
2001
On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109
Desvillettes, Laurent; Villani, Cédric
2000
On asymptotics of the Boltzmann equation when the collisions become grazing. Zbl 0769.76059
Desvillettes, L.
1992
On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. Zbl 0951.35130
Desvillettes, Laurent; Villani, Cédric
2000
Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. Zbl 1096.35018
Desvillettes, Laurent; Fellner, Klemens
2006
About the regularizing properties of the non-cut-off Kac equation. Zbl 0827.76081
Desvillettes, Laurent
1995
Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403
Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman
2009
Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. Zbl 1103.82020
Desvillettes, Laurent; Wennberg, Bernt
2004
Improved duality estimates and applications to reaction-diffusion equations. Zbl 1295.35142
Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens
2014
Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211
Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien
2007
On selection dynamics for continuous structured populations. Zbl 1176.45009
Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël
2008
Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046
Baranger, Céline; Desvillettes, Laurent
2006
Convergence to equilibrium in large time for Boltzmann and B.G.K. equations. Zbl 0705.76070
Desvillettes, L.
1990
Some applications of the method of moments for the homogeneous Boltzmann and Kac equations. Zbl 0784.76081
Desvillettes, L.
1993
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.
2005
On long time asymptotics of the Vlasov-Poisson-Boltzmann equation. Zbl 0737.35127
Desvillettes, L.; Dolbeault, J.
1991
Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159
Bouchut, F.; Desvillettes, L.
1999
Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067
Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B.
1994
A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014
Bouchut, François; Desvillettes, Laurent
1998
Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. Zbl 1171.35330
Desvillettes, Laurent; Fellner, Klemens
2008
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.
2004
Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064
Chen, Yemin; Desvillettes, Laurent; He, Lingbing
2009
On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032
Desvillettes, L.; Villani, Cédric
2002
Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules. Zbl 1159.76044
Desvillettes, Laurent; Furioli, Giulia; Terraneo, Elide
2009
Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions. Zbl 1169.76054
Desvillettes, Laurent; Mouhot, Clément
2009
Entropy, duality, and cross diffusion. Zbl 1293.35142
Desvillettes, L.; Lepoutre, Th.; Moussa, A.
2014
Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. Zbl 1325.35223
Desvillettes, L.
2015
About the splitting algorithm for Boltzmann and B.G.K. equations. Zbl 0876.35088
Desvillettes, L.; Mischler, S.
1996
Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks. Zbl 1368.35036
Desvillettes, Laurent; Fellner, Klemens; Tang, Bao Quoc
2017
On the entropic structure of reaction-cross diffusion systems. Zbl 1331.35179
Desvillettes, L.; Lepoutre, T.; Moussa, A.; Trescases, A.
2015
Entropy dissipation rate and convergence in kinetic equations. Zbl 0688.76057
Desvillettes, L.
1989
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
2012
Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules. Zbl 0901.76072
Desvillettes, Laurent
1997
The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018
Desvillettes, Laurent; Golse, François; Ricci, Valeria
2008
The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019
Desvillettes, L.; Pulvirenti, M.
1999
Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry. Zbl 1327.35374
Desvillettes, Laurent; Fellner, Klemens
2014
Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. Zbl 1009.76081
Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie
1999
On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042
Bouchut, F.; Desvillettes, L.
2001
Asymptotics of steady states of a selection-mutation equation for small mutation rate. Zbl 1293.35341
2013
On the singularities of the global small solutions of the full Boltzmann equation. Zbl 0984.76076
Boudin, Laurent; Desvillettes, Laurent
2000
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.
2015
Entropy methods for reaction-diffusion systems. Zbl 1163.35322
Desvillettes, Laurent; Fellner, Klemens
2007
A modeling of compressible droplets in a fluid. Zbl 1084.76073
Boudin, Laurent; Desvillettes, Laurent; Motte, Renaud
2003
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.
2001
About the use of the Fourier transform for the Boltzmann equation. Zbl 1072.35513
Desvillettes, Laurent
2003
Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. Zbl 1335.35115
Desvillettes, L.; Fellner, K.
2015
Asymptotic behavior of degenerate linear transport equations. Zbl 1180.35102
Desvillettes, Laurent; Salvarani, Francesco
2009
Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064
Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric
2011
Regularization for the non-cutoff 2D radially symmetric Boltzmann equation with a velocity dependent cross section. Zbl 0871.76077
Desvillettes, Laurent
1996
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
2015
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
2014
About $$L^p$$ estimates for the spatially homogeneous Boltzmann equation. Zbl 1077.76060
Desvillettes, Laurent; Mouhot, Clément
2005
New results for triangular reaction cross diffusion system. Zbl 1319.35077
Desvillettes, L.; Trescases, A.
2015
Boltzmann’s kernel and the spatially homogeneous Boltzmann equation. Zbl 1078.76059
Desvillettes, Laurent
2001
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.
2016
From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1134.82323
Bisi, M.; Desvillettes, L.
2006
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
2014
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
2007
Some aspects of the modeling at different scales of multiphase flows. Zbl 1227.76067
Desvillettes, Laurent
2010
About entropy methods for reaction-diffusion equations. Zbl 1171.35409
Desvillettes, L.
2007
Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360
Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing
2017
A remark concerning the Chapman-Enskog asymptotics. Zbl 0863.76071
Desvillettes, L.; Golse, F.
1994
Hypocoercivity: the example of linear transport. Zbl 1107.35025
Desvillettes, Laurent
2006
Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion. Zbl 1193.35091
Cañizo, J. A.; Desvillettes, L.; Fellner, K.
2010
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
1997
Quasi-steady-state approximation for reaction-diffusion equations. Zbl 1142.35466
Bisi, Marzia; Conforto, Fiammetta; Desvillettes, Laurent
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
2017
Entropy dissipation estimates for the Landau equation: general cross sections. Zbl 1351.35206
Desvillettes, Laurent
2016
Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation. Zbl 1160.76060
Bernis, Laurent; Desvillettes, Laurent
2009
Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model. Zbl 1144.82080
Carrillo, J. A.; Desvillettes, L.; Fellner, K.
2008
A logarithmic chemotaxis model featuring global existence and aggregation. Zbl 1430.92014
Desvillettes, Laurent; Kim, Yong-Jung; Trescases, Ariane; Yoon, Changwook
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.
2018
Entropic methods for the study of the long time behavior of kinetic equations. Zbl 1038.82073
Desvillettes, L.; Villani, C.
2001
Some aspects of the asymptotics leading from gas-particles equations towards multiphase flows equations. Zbl 1203.82080
Desvillettes, Laurent; Mathiaud, Julien
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
2018
On a model Boltzmann equation without angular cutoff. Zbl 1013.76072
Desvillettes, L.; Golse, F.
2000
Smoothness of moments of the solutions of discrete coagulation equations with diffusion. Zbl 1419.39041
Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens
2017
Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Zbl 1351.35229
2016
Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070
Desvillettes, Laurent; Golse, François; Ricci, Valeria
2014
Fast-reaction limit for the inhomogeneous Aizenman-Bak model. Zbl 1148.35302
Carrillo, J. A.; Desvillettes, L.; Fellner, K.
2008
About the entropic structure of detailed balanced multi-species cross-diffusion equations. Zbl 1405.35082
Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge
2019
Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases. Zbl 1301.82046
Bisi, Marzia; Desvillettes, Laurent
2014
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.
2004
Plasma kinetic models: the Fokker-Planck-Landau equation. Zbl 1106.82026
Desvillettes, Laurent
2004
The Boltzmann-Grad limit of a stochastic Lorentz gas in a force field. Zbl 1214.82088
Desvillettes, L.; Ricci, V.
2007
Control of modeling errors in the coupling of linear transport and diffusion models. Zbl 1286.35073
Chamoin, Ludovic; Desvillettes, Laurent
2013
Convergence towards the thermodynamical equilibrium. Zbl 0990.76078
Desvillettes, L.
2000
A vectorizable simulation method for the Boltzmann equation. Zbl 0819.76060
Desvillettes, Laurent; Peralta Herrera, Raymundo E.
1994
Duality- and entropy methods in coagulation-fragmentation models. Zbl 1294.82042
Desvillettes, Laurent; Fellner, Klemens
2013
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
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
2009
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
2018
Non-triangular cross-diffusion systems with predator-prey reaction terms. Zbl 1420.35435
Desvillettes, L.; Soresina, C.
2019
Some asymptotic limits of reaction-diffusion systems appearing in reversible chemistry. Zbl 1377.35153
Conforto, Fiammetta; Desvillettes, Laurent; Monaco, Roberto
2017
Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114
Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime
2015
Rate of convergence toward the equilibrium in degenerate settings. Zbl 1069.35011
Desvillettes, L.; Villani, C.
2004
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.
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
2009
Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227
Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar
2020
A logarithmic chemotaxis model featuring global existence and aggregation. Zbl 1430.92014
Desvillettes, Laurent; Kim, Yong-Jung; Trescases, Ariane; Yoon, Changwook
2019
About the entropic structure of detailed balanced multi-species cross-diffusion equations. Zbl 1405.35082
Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge
2019
Non-triangular cross-diffusion systems with predator-prey reaction terms. Zbl 1420.35435
Desvillettes, L.; Soresina, C.
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
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.
2018
A derivation of the Vlasov-Stokes system for aerosol flows from the kinetic theory of binary gas mixtures. Zbl 1375.35297
Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria
2018
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
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
2017
Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360
Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing
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
2017
Smoothness of moments of the solutions of discrete coagulation equations with diffusion. Zbl 1419.39041
Breden, Maxime; Desvillettes, Laurent; Fellner, Klemens
2017
Some asymptotic limits of reaction-diffusion systems appearing in reversible chemistry. Zbl 1377.35153
Conforto, Fiammetta; Desvillettes, Laurent; Monaco, Roberto
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.
2016
Entropy dissipation estimates for the Landau equation: general cross sections. Zbl 1351.35206
Desvillettes, Laurent
2016
Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions. Zbl 1351.35229
2016
Entropy dissipation estimates for the Landau equation in the Coulomb case and applications. Zbl 1325.35223
Desvillettes, L.
2015
On the entropic structure of reaction-cross diffusion systems. Zbl 1331.35179
Desvillettes, L.; Lepoutre, T.; Moussa, A.; Trescases, A.
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.
2015
Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion. Zbl 1335.35115
Desvillettes, L.; Fellner, K.
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
2015
New results for triangular reaction cross diffusion system. Zbl 1319.35077
Desvillettes, L.; Trescases, A.
2015
Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114
Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime
2015
Improved duality estimates and applications to reaction-diffusion equations. Zbl 1295.35142
Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens
2014
Entropy, duality, and cross diffusion. Zbl 1293.35142
Desvillettes, L.; Lepoutre, Th.; Moussa, A.
2014
Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry. Zbl 1327.35374
Desvillettes, Laurent; Fellner, Klemens
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
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
2014
Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070
Desvillettes, Laurent; Golse, François; Ricci, Valeria
2014
Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases. Zbl 1301.82046
Bisi, Marzia; Desvillettes, Laurent
2014
Asymptotics of steady states of a selection-mutation equation for small mutation rate. Zbl 1293.35341
2013
Control of modeling errors in the coupling of linear transport and diffusion models. Zbl 1286.35073
Chamoin, Ludovic; Desvillettes, Laurent
2013
Duality- and entropy methods in coagulation-fragmentation models. Zbl 1294.82042
Desvillettes, Laurent; Fellner, Klemens
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
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.
2012
Celebrating Cercignani’s conjecture for the Boltzmann equation. Zbl 1217.82064
Desvillettes, Laurent; Mouhot, Clément; Villani, Cédric
2011
Some aspects of the modeling at different scales of multiphase flows. Zbl 1227.76067
Desvillettes, Laurent
2010
Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion. Zbl 1193.35091
Cañizo, J. A.; Desvillettes, L.; Fellner, K.
2010
Some aspects of the asymptotics leading from gas-particles equations towards multiphase flows equations. Zbl 1203.82080
Desvillettes, Laurent; Mathiaud, Julien
2010
Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403
Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman
2009
Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064
Chen, Yemin; Desvillettes, Laurent; He, Lingbing
2009
Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules. Zbl 1159.76044
Desvillettes, Laurent; Furioli, Giulia; Terraneo, Elide
2009
Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions. Zbl 1169.76054
Desvillettes, Laurent; Mouhot, Clément
2009
Asymptotic behavior of degenerate linear transport equations. Zbl 1180.35102
Desvillettes, Laurent; Salvarani, Francesco
2009
Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation. Zbl 1160.76060
Bernis, Laurent; Desvillettes, Laurent
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
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
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.
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
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
2009
On selection dynamics for continuous structured populations. Zbl 1176.45009
Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël
2008
Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds. Zbl 1171.35330
Desvillettes, Laurent; Fellner, Klemens
2008
The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018
Desvillettes, Laurent; Golse, François; Ricci, Valeria
2008
Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model. Zbl 1144.82080
Carrillo, J. A.; Desvillettes, L.; Fellner, K.
2008
Fast-reaction limit for the inhomogeneous Aizenman-Bak model. Zbl 1148.35302
Carrillo, J. A.; Desvillettes, L.; Fellner, K.
2008
Global existence for quadratic systems of reaction-diffusion. Zbl 1330.35211
Desvillettes, Laurent; Fellner, Klemens; Pierre, Michel; Vovelle, Julien
2007
Entropy methods for reaction-diffusion systems. Zbl 1163.35322
Desvillettes, Laurent; Fellner, Klemens
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
2007
About entropy methods for reaction-diffusion equations. Zbl 1171.35409
Desvillettes, L.
2007
Quasi-steady-state approximation for reaction-diffusion equations. Zbl 1142.35466
Bisi, Marzia; Conforto, Fiammetta; Desvillettes, Laurent
2007
The Boltzmann-Grad limit of a stochastic Lorentz gas in a force field. Zbl 1214.82088
Desvillettes, L.; Ricci, V.
2007
Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations. Zbl 1096.35018
Desvillettes, Laurent; Fellner, Klemens
2006
Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046
Baranger, Céline; Desvillettes, Laurent
2006
From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1134.82323
Bisi, M.; Desvillettes, L.
2006
Hypocoercivity: the example of linear transport. Zbl 1107.35025
Desvillettes, Laurent
2006
From reactive Boltzmann equations to reaction-diffusion systems. Zbl 1105.82022
Bisi, M.; Desvillettes, L.
2006
On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. Zbl 1162.82316
Desvillettes, L.; Villani, C.
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.
2005
About $$L^p$$ estimates for the spatially homogeneous Boltzmann equation. Zbl 1077.76060
Desvillettes, Laurent; Mouhot, Clément
2005
Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. Zbl 1103.82020
Desvillettes, Laurent; Wennberg, Bernt
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.
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.
2004
Plasma kinetic models: the Fokker-Planck-Landau equation. Zbl 1106.82026
Desvillettes, Laurent
2004
Rate of convergence toward the equilibrium in degenerate settings. Zbl 1069.35011
Desvillettes, L.; Villani, C.
2004
A modeling of compressible droplets in a fluid. Zbl 1084.76073
Boudin, Laurent; Desvillettes, Laurent; Motte, Renaud
2003
About the use of the Fourier transform for the Boltzmann equation. Zbl 1072.35513
Desvillettes, Laurent
2003
On a variant of Korn’s inequality arising in statistical mechanics. Zbl 1092.82032
Desvillettes, L.; Villani, Cédric
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.
2001
On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042
Bouchut, F.; Desvillettes, L.
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.
2001
Boltzmann’s kernel and the spatially homogeneous Boltzmann equation. Zbl 1078.76059
Desvillettes, Laurent
2001
Entropic methods for the study of the long time behavior of kinetic equations. Zbl 1038.82073
Desvillettes, L.; Villani, C.
2001
Entropy dissipation and long-range interactions. Zbl 0968.76076
Alexandre, R.; Desvillettes, L.; Villani, C.; Wennberg, B.
2000
On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. Zbl 0946.35109
Desvillettes, Laurent; Villani, Cédric
2000
On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. Zbl 0951.35130
Desvillettes, Laurent; Villani, Cédric
2000
On the singularities of the global small solutions of the full Boltzmann equation. Zbl 0984.76076
Boudin, Laurent; Desvillettes, Laurent
2000
On a model Boltzmann equation without angular cutoff. Zbl 1013.76072
Desvillettes, L.; Golse, F.
2000
Convergence towards the thermodynamical equilibrium. Zbl 0990.76078
Desvillettes, L.
2000
Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159
Bouchut, F.; Desvillettes, L.
1999
The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019
Desvillettes, L.; Pulvirenti, M.
1999
Probabilistic interpretation and numerical approximation of a Kac equation without cutoff. Zbl 1009.76081
Desvillettes, Laurent; Graham, Carl; Méléard, Sylvie
1999
A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014
Bouchut, François; Desvillettes, Laurent
1998
Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules. Zbl 0901.76072
Desvillettes, Laurent
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 0894.35086
Desvillettes, Laurent
1997
About the splitting algorithm for Boltzmann and B.G.K. equations. Zbl 0876.35088
Desvillettes, L.; Mischler, S.
1996
Regularization for the non-cutoff 2D radially symmetric Boltzmann equation with a velocity dependent cross section. Zbl 0871.76077
Desvillettes, Laurent
1996
About the regularizing properties of the non-cut-off Kac equation. Zbl 0827.76081
Desvillettes, Laurent
1995
Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067
Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B.
1994
A remark concerning the Chapman-Enskog asymptotics. Zbl 0863.76071
Desvillettes, L.; Golse, F.
1994
A vectorizable simulation method for the Boltzmann equation. Zbl 0819.76060
Desvillettes, Laurent; Peralta Herrera, Raymundo E.
1994
...and 6 more Documents
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#### Cited by 1,031 Authors

 65 Desvillettes, Laurent 33 Yang, Tong 26 Fellner, Klemens 26 Morimoto, Yoshinori 26 Perthame, Benoît 23 Mouhot, Clément 21 Duan, Renjun 19 Xu, Chao-Jiang 18 Carrillo de la Plata, José Antonio 17 Ha, Seung-Yeal 17 Lorenzi, Tommaso 16 Alexandre, Radjesvarane 16 Strain, Robert M. 16 Yu, Hongjun 15 Toscani, Giuseppe 15 Ukai, Seiji 15 Villani, Cédric 14 Bisi, Marzia 14 Martínez Gamba, Irene 14 Jabin, Pierre-Emmanuel 14 Salvarani, Francesco 14 Tang, Bao Quoc 14 Zhang, Xianwen 13 Alonso, Ricardo J. 13 Golse, François 12 Cañizo, José Alfredo 12 Choi, Young-Pil 12 Fournier, Nicolas G. 12 Ruggeri, Tommaso 11 Jüngel, Ansgar 11 Mirrahimi, Sepideh 11 Mischler, Stéphane 10 Dolbeault, Jean 10 He, Lingbing 10 Li, Weixi 10 Lods, Bertrand 10 Moussa, Ayman 10 Pierre, Michel 10 Wennberg, Bernt 10 Zhao, Huijiang 9 Briant, Marc 9 Daus, Esther S. 9 Guo, Yan 9 Henderson, Christopher 9 Liu, Shuangqian 9 Lu, Xuguang 9 Spiga, Giampiero 9 Velázquez, Juan J. L. 8 Carlen, Eric Anders 8 Goudon, Thierry 8 Nota, Alessia 8 Silvestre, Luis E. 8 Vasseur, Alexis F. 8 Yun, Seok-Bae 7 Carrapatoso, Kleber 7 Dimarco, Giacomo 7 Hérau, Frédéric 7 Jin, Shi 7 Lemou, Mohammed 7 Polidoro, Sergio 7 Saint-Raymond, Laure 7 Snelson, Stanley 7 Souganidis, Panagiotis E. 6 Aoki, Kazuo 6 Arnold, Anton 6 Bouchut, François 6 Boudin, Laurent 6 Carvalho, Maria Conceição 6 Cordier, Stéphane 6 Degond, Pierre 6 Hwang, Hyung Ju 6 Lerner, Nicolas 6 Lorz, Alexander 6 Loubère, Raphaël 6 Lucquin-Desreux, Brigitte 6 Méléard, Sylvie 6 Pulvirenti, Mario 6 Raoul, Gaël 6 Schmeiser, Christian 6 Xiao, Qinghua 6 Zamponi, Nicola 5 Bobylev, Alexandre Vasiljévitch 5 Bouin, Emeric 5 Buet, Christophe 5 Chaplain, Mark A. J. 5 Chen, Zili 5 Einav, Amit 5 Guillin, Arnaud 5 Han-Kwan, Daniel 5 Höfer, Richard M. 5 Jang, Jin Woo 5 Kim, Chanwoo 5 Laamri, El Haj 5 Mancini, Simona 5 Markowich, Peter Alexander 5 Mathiaud, Julien 5 Mielke, Alexander 5 Morgan, Jeff J. 5 Pareschi, Lorenzo 5 Pascucci, Andrea ...and 931 more Authors
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#### Cited in 177 Serials

 85 Journal of Differential Equations 77 Journal of Statistical Physics 64 Archive for Rational Mechanics and Analysis 49 Communications in Mathematical Physics 46 Kinetic and Related Models 41 SIAM Journal on Mathematical Analysis 33 Journal of Computational Physics 31 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 29 Journal of Mathematical Analysis and Applications 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 26 Communications in Partial Differential Equations 25 Journal of Functional Analysis 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Acta Applicandae Mathematicae 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Transport Theory and Statistical Physics 12 Discrete and Continuous Dynamical Systems 11 Ricerche di Matematica 11 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Mathematical Biology 10 Journal of Mathematical Physics 10 SIAM Journal on Applied Mathematics 10 Nonlinear Analysis. Real World Applications 9 Mathematical Methods in the Applied Sciences 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Evolution Equations 9 Analysis and Applications (Singapore) 8 Communications on Pure and Applied Mathematics 8 Quarterly of Applied Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Computers & Mathematics with Applications 7 Nonlinearity 7 The Annals of Applied Probability 7 Stochastic Processes and their Applications 7 Calculus of Variations and Partial Differential Equations 7 Bulletin des Sciences Mathématiques 6 Bulletin of Mathematical Biology 6 Probability Theory and Related Fields 6 Revista Matemática Iberoamericana 6 Applied Mathematics Letters 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Advances in Mathematics 5 The Annals of Probability 5 Continuum Mechanics and Thermodynamics 5 Journal of Mathematical Fluid Mechanics 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Communications on Pure and Applied Analysis 5 Multiscale Modeling & Simulation 5 Mathematical Modelling of Natural Phenomena 5 Séminaire Laurent Schwartz. EDP et Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Applied Mathematics and Computation 4 Inventiones Mathematicae 4 Transactions of the American Mathematical Society 4 Chinese Annals of Mathematics. Series B 4 Mathematical and Computer Modelling 4 Journal of Scientific Computing 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Nonlinear Science 4 Physics of Fluids 4 European Journal of Mechanics. B. Fluids 4 Journal of Hyperbolic Differential Equations 4 Analysis & PDE 4 Journal of Theoretical Biology 4 Annals of PDE 3 Applicable Analysis 3 Reviews in Mathematical Physics 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Physica D 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Potential Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Abstract and Applied Analysis 3 Entropy 3 Discrete and Continuous Dynamical Systems. Series S 3 Science China. Mathematics 2 Computers and Fluids 2 Journal of Fluid Mechanics 2 Physica A 2 Duke Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Journal of the American Mathematical Society 2 Asymptotic Analysis 2 Proceedings of the National Academy of Sciences of the United States of America 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bernoulli 2 Journal of Mathematical Chemistry 2 Doklady Mathematics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Interfaces and Free Boundaries 2 Journal of the European Mathematical Society (JEMS) ...and 77 more Serials
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#### Cited in 41 Fields

 827 Partial differential equations (35-XX) 474 Statistical mechanics, structure of matter (82-XX) 425 Fluid mechanics (76-XX) 159 Biology and other natural sciences (92-XX) 93 Probability theory and stochastic processes (60-XX) 73 Integral equations (45-XX) 71 Numerical analysis (65-XX) 44 Operator theory (47-XX) 33 Dynamical systems and ergodic theory (37-XX) 31 Classical thermodynamics, heat transfer (80-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Ordinary differential equations (34-XX) 17 Optics, electromagnetic theory (78-XX) 16 Mechanics of deformable solids (74-XX) 15 Real functions (26-XX) 15 Functional analysis (46-XX) 13 Quantum theory (81-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Difference and functional equations (39-XX) 6 Relativity and gravitational theory (83-XX) 6 Systems theory; control (93-XX) 6 Information and communication theory, circuits (94-XX) 5 Operations research, mathematical programming (90-XX) 4 Measure and integration (28-XX) 4 Approximations and expansions (41-XX) 4 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)