Edit Profile (opens in new tab) Golse, François Compute Distance To: Compute Author ID: golse.francois Published as: Golse, François; Golse, F.; Golse, Francois more...less Homepage: http://www.cmls.polytechnique.fr/perso/golse/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 185 Publications since 1984, including 2 Books 6 Contributions as Editor Co-Authors: 93 Co-Authors with 150 Joint Publications 2,891 Co-Co-Authors all top 5 Co-Authors 41 single-authored 37 Bardos, Claude Williams 14 Paul, Thierry 13 Perthame, Benoît 11 Sentis, Remi 10 Levermore, C. David 9 Caglioti, Emanuele 9 Saint-Raymond, Laure 8 Desvillettes, Laurent 7 Aoki, Kazuo 7 Ricci, Valeria 6 Mauser, Norbert Julius 6 Sone, Yoshio 5 Bernard, Étienne 5 Dumas, H. Scott 5 Dumas, Laurent 5 Jin, Shi 4 Bouchut, François 4 Gottlieb, Alex D. 4 Leichtnam, Eric 4 Lochak, Pierre 4 Mahalov, Alex 4 Nicolaenko, Basil 4 Poupaud, Frédéric 4 Pulvirenti, Mario 3 Doumic, Marie 3 Mouhot, Clément 3 Pallard, Christophe 3 Salvarani, Francesco 3 Sulem, Catherine 3 Takata, Shigeru 3 Wennberg, Bernt 2 Adami, Riccardo 2 Benedetto, Dario 2 Coron, François 2 Fedosov, Boris Vasil’evich 2 Gerard, Patrick 2 Goudon, Thierry 2 Iacobelli, Mikaela 2 Levermore, David 2 Markowich, Peter Alexander 2 Merle, Frank 2 Ohwada, Taku 2 Schrohe, Elmar 2 Teta, Alessandro 1 Aikawa, Hidefumi 1 Allaire, Grégoire 1 Bernardin, Cédric 1 Bernhoff, Niclas 1 Blanc, Xavier 1 Bloch, Anthony Michael 1 Boatto, Stefanella 1 Bourgain, Jean 1 Brézis, Haïm 1 Castella, François 1 Clouet, Jean-François 1 Colonna, Jean-François 1 Coulombel, Jean-François 1 De Lellis, Camillo 1 Degond, Pierre 1 Després, Bruno 1 Dogbé, Christian 1 Doi, Toshiyuki 1 Duboc, Frédéric 1 Ducomet, Bernard 1 Ellison, James A. 1 Erdős, László 1 Gallagher, Isabelle 1 Martínez Gamba, Irene 1 Ghaoui, Zahia 1 Gonçalves, Patrícia C. 1 Ha, Seung-Yeal 1 Huang, Zhongyi 1 Imbert, Cyril 1 Klar, Axel 1 Kogan, Mikhail Naumovich 1 Kosuge, Shingo 1 Lagoutière, Frédéric 1 Lions, Pierre-Louis 1 Maire, Pierre-Henri 1 Martel, Valérie 1 Moyano, Iván 1 Nguyen, Toan Trong 1 Olla, Stefano 1 Paillard, Lionel 1 Puel, Marjolaine 1 Rezakhanlou, Fraydoun 1 Soares, Ana Jacinta 1 Stenzel, Matthews 1 Sugimoto, Hiroshi 1 Tsuji, Tetsuro 1 Uribe, Alejandro 1 Vasseur, Alexis F. 1 Villani, Cédric 1 Yang, Xu 1 Yau, Horng-Tzer all top 5 Serials 13 Comptes Rendus de l’Académie des Sciences. Série I 11 Journal of Statistical Physics 7 Archive for Rational Mechanics and Analysis 7 Communications in Mathematical Physics 7 Communications on Pure and Applied Mathematics 7 Communications in Mathematical Sciences 6 Journal of Functional Analysis 6 Asymptotic Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Kinetic and Related Models 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Transport Theory and Statistical Physics 3 Gazette des Mathématiciens 3 Physica D 3 Séminaire Équations aux Dérivées Partielles 3 European Journal of Mechanics. B. Fluids 2 Computers & Mathematics with Applications 2 Mathematical Methods in the Applied Sciences 2 Ergodic Theory and Dynamical Systems 2 Revista Matemática Iberoamericana 2 European Journal of Mechanics. B. Fluids 2 Communications in Partial Differential Equations 2 Physics of Fluids 2 Methods and Applications of Analysis 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Nonlinearity 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Differential and Integral Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Zapiski Nauchnykh Seminarov POMI 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 RIMS Kokyuroku 1 Foundations of Computational Mathematics 1 Rivista di Matematica della Università di Parma. Serie 7 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Mathematics 1 Networks and Heterogeneous Media 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Rivista di Matematica della Università di Parma. New Series 1 Springer Proceedings in Mathematics & Statistics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 112 Partial differential equations (35-XX) 96 Statistical mechanics, structure of matter (82-XX) 84 Fluid mechanics (76-XX) 20 Quantum theory (81-XX) 15 Dynamical systems and ergodic theory (37-XX) 9 Integral equations (45-XX) 9 Operator theory (47-XX) 9 Numerical analysis (65-XX) 8 Probability theory and stochastic processes (60-XX) 8 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 161 Publications have been cited 2,468 times in 1,422 Documents Cited by ▼ Year ▼ Regularity of the moments of the solution of a transport equation. Zbl 0652.47031Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi 192 1988 Fluid dynamic limits of kinetic equations. II: Convergence proofs for the Boltzmann equation. Zbl 0817.76002Bardos, Claude; Golse, François; Levermore, C. David 148 1993 The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Zbl 1060.76101Golse, François; Saint-Raymond, Laure 114 2004 A classification of well-posed kinetic layer problems. Zbl 0632.76088Coron, François; Golse, François; Sulem, Catherine 68 1988 Rigorous derivation of the cubic NLS in dimension one. Zbl 1118.81021Adami, Riccardo; Golse, François; Teta, Alessandro 65 2007 Weak coupling limit of the \(N\)-particle Schrödinger equation. Zbl 1003.81027Bardos, Claude; Golse, François; Mauser, Norbert J. 64 2000 Un résultat de compacité pour les équations de transport et application au calcul de la limite de la valeur propre principale d’un opérateur de transport. (A compactness result for transport equations and application to the calculus of the limit of the principal eigenvalue of a transport operator). Zbl 0591.45007Golse, François; Perthame, Benoît; Sentis, Rémi 59 1985 The Vlasov-Poisson system with strong magnetic field. Zbl 0977.35108Golse, François; Saint-Raymond, Laure 55 1999 The noncommutative residue for manifolds with boundary. Zbl 0877.58005Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar 53 1996 The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075Bardos, C.; Golse, F.; Perthame, B.; Sentis, R. 52 1988 Mean field dynamics of fermions and the time-dependent Hartree-Fock equation. Zbl 1029.82022Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J. 52 2003 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 51 2000 Stationary solutions of the linearized Boltzmann equation in a half- space. Zbl 0679.35021Golse, F.; Poupaud, F. 49 1989 On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089Golse, Francois; Perthame, Benoit; Sulem, Catherine 47 1988 Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem. Zbl 1018.81009Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer 43 2002 Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075Bouchut, François; Golse, François; Pallard, Christophe 40 2003 Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation. Zbl 1431.35016Golse, François; Imbert, Cyril; Mouhot, Clément; Vasseur, Alexis 40 2019 The convergence of numerical transfer schemes in diffusive regimes. I: Discrete-ordinate method. Zbl 1053.82030Golse, François; Jin, Shi; Levermore, C. David 37 1999 The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials. Zbl 1178.35290Golse, François; Saint-Raymond, Laure 35 2009 On the mean field and classical limits of quantum mechanics. Zbl 1418.81021Golse, François; Mouhot, Clément; Paul, Thierry 35 2016 The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018Desvillettes, Laurent; Golse, François; Ricci, Valeria 34 2008 The acoustic limit for the Boltzmann equation. Zbl 0973.76075Bardos, Claude; Golse, François; Levermore, C. David 31 2000 The mean-field limit for the dynamics of large particle systems. Zbl 1211.82037Golse, François 30 2003 The Vlasov-Poisson system with strong magnetic field in quasineutral regime. Zbl 1053.82032Golse, F.; Saint-Raymond, L. 29 2003 On the distribution of free path lengths for the periodic Lorentz gas. Zbl 0910.60082Bourgain, Jean; Golse, François; Wennberg, Bernt 29 1998 Velocity averaging in \(L^1\) for the transport equation. Zbl 1154.35326Golse, François; Saint-Raymond, Laure 29 2002 Acoustic and Stokes limits for the Boltzmann equation. Zbl 0918.35109Bardos, Claude; Golse, François; Levermore, C. David 27 1998 Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Zbl 1044.76055Golse, François; Levermore, C. David 26 2002 Fluid limit for Boltzmann equations of semiconductors in Fermi–Dirac statistics. (Limite fluide des équations de Boltzmann des semi-conducteurs pour une statistique de Fermi-Dirac.) Zbl 0784.35084Golse, F.; Poupaud, F. 25 1992 The Boltzmann equation and its hydrodynamic limits. Zbl 1087.35080Golse, François 24 2005 Towards a rigorous derivation of the cubic NLSE in dimension one. Zbl 1069.35082Adami, Riccardo; Bardos, Claude; Golse, François; Teta, Alessandro 23 2004 The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095Bardos, C.; Golse, F.; Perthame, B. 23 1987 The Schrödinger equation in the mean-field and semiclassical regime. Zbl 1359.35164Golse, François; Paul, Thierry 23 2017 Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038Coulombel, Jean-François; Golse, François; Goudon, Thierry 22 2005 Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084Golse, F.; Perthame, B. 21 1986 Half-space problems for the Boltzmann equation: a survey. Zbl 1125.82013Bardos, Claude; Golse, François; Sone, Yoshio 21 2006 Analytical study of transonic flows of a gas condensing onto its plane condensed phase on the basis of kinetic theory. Zbl 0922.76235Sone, Yoshio; Golse, François; Ohwada, Taku; Doi, Toshiyuki 21 1998 Asymptotic analysis of the Poisson equation coupled with Boltzmann’s relation. Quasi-neutrality for plasmas. (Analyse asymptotique de l’équation de Poisson couplée à la relation de Boltzmann. Quasi-neutralité des plasmas.) Zbl 0839.76096Brézis, Haïm; Golse, François; Sentis, Rémi 21 1995 On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019Aoki, Kazuo; Golse, François 19 2011 Homogenization of transport equations. Zbl 0964.35016Dumas, Laurent; Golse, François 19 2000 Macroscopic limits of kinetic equations. Zbl 0737.76064Bardos, Claude; Golse, François; Levermore, David 17 1991 A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125Golse, François; Jin, Shi; Levermore, C. David 17 2003 On the distribution of free path lengths for the periodic Lorentz gas. III. Zbl 1041.82016Caglioti, Emanuele; Golse, François 16 2003 Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343Golse, François; Perthame, Benoît 15 2013 On the periodic Lorentz gas and the Lorentz kinetic equation. Zbl 1166.82304Golse, François 15 2008 Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020Gérard, Patrick; Golse, François 14 1992 A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems. Zbl 1081.82618Golse, François; Klar, Axel 14 1995 On the distribution of free path lengths for the periodic Lorentz gas. II. Zbl 1006.82025Golse, François; Wennberg, Bernt 14 2000 On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas. Zbl 1210.82053Caglioti, Emanuele; Golse, François 13 2010 Sur les limites asymptotiques de la théorie cinétique conduisant à la dynamique des fluides incompressibles. (On the asymptotic limits of kinetic theory towards incompressible fluid dynamics). Zbl 0697.35111Bardos, Claude; Golse, François; Levermore, David 13 1989 Dispersionless Toda and Toeplitz operators. Zbl 1024.37047Bloch, A.; Golse, F.; Paul, T.; Uribe, A. 13 2003 A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François 12 2001 Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic Riemannian manifolds. Zbl 0889.32037Golse, François; Leichtnam, Eric; Stenzel, Matthews 12 1996 Hydrodynamic limits for the Boltzmann equation. Zbl 1109.35112Golse, François; Saint-Raymond, Laure 11 2005 Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. Zbl 0973.76076Sone, Yoshio; Bardos, Claude; Golse, François; Sugimoto, Hiroshi 11 2000 Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097Bouchut, François; Golse, François; Pallard, Christophe 11 2004 Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134Tsuji, Tetsuro; Aoki, Kazuo; Golse, François 11 2010 Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase. Zbl 1184.76523Sone, Yoshio; Takata, Shigeru; Golse, François 11 2001 A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François 11 2001 Knudsen layers from a computational viewpoint. Zbl 0754.76066Golse, François 10 1992 Empirical measures and Vlasov hierarchies. Zbl 1302.82063Golse, François; Mouhot, Clément; Ricci, Valeria 10 2013 Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states. Zbl 1073.81076Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J. 10 2004 Analysis of the boundary layer equation in the kinetic theory of gases. Zbl 1142.82360Golse, François 10 2008 The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi 10 2018 The Navier-Stokes limit for the Boltzmann equation. Zbl 1056.35134Golse, François; Saint-Raymond, Laure 10 2001 Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors. Zbl 1145.76041Takata, Shigeru; Golse, François 9 2007 Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass. Zbl 1361.35125Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David 9 2016 Wave packets and the quadratic Monge-Kantorovich distance in quantum mechanics. (Paquets d’ondes et distance quadratique de Monge-Kantorovich en mécanique quantique.) Zbl 1383.81030Golse, François; Paul, Thierry 9 2018 On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146Golse, François; Paul, Thierry; Pulvirenti, Mario 9 2018 The periodic Lorentz gas in the Boltzmann-Grad limit. Zbl 1109.82020Golse, François 8 2006 The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. Zbl 1291.35169Bardos, Claude; Golse, François; Paillard, Lionel 8 2012 The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem. Zbl 1178.82063Golse, François; Salvarani, Francesco 8 2007 The TDHF approximation for Hamiltonians with \(m\)-particle interaction potentials. Zbl 1135.81385Bardos, Claude; Ducomet, Bernard; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J. 8 2007 The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions. Zbl 1145.82019Caglioti, Emanuele; Golse, François 8 2008 A derivation of the Vlasov-Navier-Stokes model for aerosol flows from kinetic theory. Zbl 1387.35441Bernard, Etienne; Desvillettes, Laurent; Golse, François; Ricci, Valeria 8 2017 Numerical analysis of the shear and thermal creep flows of a rarefied gas over the plane wall of a Maxwell-type boundary on the basis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0866.76078Wakabayashi, M.; Ohwada, T.; Golse, F. 8 1996 A remark concerning the Chapman-Enskog asymptotics. Zbl 0863.76071Desvillettes, L.; Golse, F. 8 1994 Applications of the Boltzmann equation within the context of upper atmosphere vehicle aerodynamics. Zbl 0687.76078Golse, François 7 1989 A priori estimates and existence results for the Vlasov and Boltzmann equations. Zbl 0608.35067Bardos, C.; Degond, P.; Golse, F. 7 1986 Numerical study of a domain decomposition method for a two-scale linear transport equation. Zbl 1115.65396Yang, Xu; Golse, Francois; Huang, Zhongyi; Jin, Shi 7 2006 A hydrodynamic model arising in the context of granular media. Zbl 0946.76096Benedetto, D.; Caglioti, E.; Golse, F.; Pulvirenti, M. 7 1999 A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066de Lellis, Camillo; Golse, François 7 2005 Recent results on the periodic Lorentz gas. Zbl 1295.35352Golse, François 7 2012 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 7 2018 Hydrodynamic limits. Zbl 1115.82028Golse, François 7 2005 Empirical measures and quantum mechanics: applications to the mean-field limit. Zbl 1417.81127Golse, François; Paul, Thierry 7 2019 Multiphase averaging for generalized flows on manifolds. Zbl 0799.58066Dumas, H. S.; Golse, F.; Lochak, P. 6 1994 The mean-field limit for a regularized Vlasov-Maxwell dynamics. Zbl 1251.82037Golse, François 5 2012 Un résultat de compacité pour l’équation de Boltzmann avec potentiel mou. Application au problème de demi-espace. (A compactness result for the Boltzmann equation with soft potential. Application to the half-space problem). Zbl 0604.76067Golse, François; Poupaud, Frédéric 5 1986 Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 5 2004 Anomalous diffusion limit for the Knudsen gas. Zbl 0974.76073Golse, François 5 1998 The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient. Zbl 1328.76061Bardos, Claude; Bernard, Etienne; Golse, François; Sentis, Rémi 5 2015 The relative entropy method for the hydrodynamical limits of kinetic models. (La méthode de l’entropie relative pour les limites hydrodynamiques de modèles cinétiques.) Zbl 1255.82067Golse, F.; Levermore, C. D.; Saint-Raymond, L. 5 2000 Diffusion approximation for billiards with totally accommodating scatterers. Zbl 0937.82042Bardos, Claude; Dumas, Laurent; Golse, François 5 1997 From the Boltzmann equation to the Euler equations in the presence of boundaries. Zbl 1319.76009Golse, François 5 2013 On a model Boltzmann equation without angular cutoff. Zbl 1013.76072Desvillettes, L.; Golse, F. 5 2000 Remarques sur l’homogénéisation des équations de transort. (Remarks on the homogenization of transport equations). Zbl 0658.35083Golse, François 4 1987 Fluid limit of the Vlasov-Poisson-Boltzmann equation of semiconductors. Zbl 0678.76081Golse, F.; Poupaud, F. 4 1988 Erratum to the article: The Rosseland approximation for the radiative transfer equations. Zbl 0685.65128Bardos, Claude; Golse, François; Perthame, Benoît 4 1989 Fluid dynamic limits of the kinetic theory of gases. Zbl 1319.35155Golse, François 4 2014 Optimal transport pseudometrics for quantum and classical densities. Zbl 1485.49053Golse, François; Paul, Thierry 1 2022 Semiclassical evolution with low regularity. Zbl 1472.35323Golse, François; Paul, Thierry 2 2021 On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038Golse, François; Jin, Shi; Paul, Thierry 2 2021 On the boundary layer equations with phase transition in the kinetic theory of gases. Zbl 1472.82011Bernhoff, Niclas; Golse, François 1 2021 The random batch method for \(N\)-body quantum dynamics. Zbl 07533084Golse, François; Jin, Shi; Paul, Thierry 1 2021 Quantum optimal transport is cheaper. Zbl 1448.49045Caglioti, E.; Golse, F.; Paul, T. 3 2020 Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation. Zbl 1431.35016Golse, François; Imbert, Cyril; Mouhot, Clément; Vasseur, Alexis 40 2019 Empirical measures and quantum mechanics: applications to the mean-field limit. Zbl 1417.81127Golse, François; Paul, Thierry 7 2019 A mean-field limit of the Lohe matrix model and emergent dynamics. Zbl 1425.37046Golse, François; Ha, Seung-Yeal 4 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 2 2019 The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi 10 2018 Wave packets and the quadratic Monge-Kantorovich distance in quantum mechanics. (Paquets d’ondes et distance quadratique de Monge-Kantorovich en mécanique quantique.) Zbl 1383.81030Golse, François; Paul, Thierry 9 2018 On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146Golse, François; Paul, Thierry; Pulvirenti, Mario 9 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 7 2018 Linear Boltzmann equation and fractional diffusion. Zbl 1405.35244Bardos, Claude; Golse, François; Moyano, Ivan 2 2018 Quantization of probability distributions and gradient flows in space dimension 2. Zbl 1394.35219Caglioti, Emanuele; Golse, François; Iacobelli, Mikaela 1 2018 Transport and diffusion. (Transport et diffusion.) Zbl 1432.82002Allaire, Grégoire; Blanc, Xavier; Després, Bruno; Golse, François 1 2018 The Schrödinger equation in the mean-field and semiclassical regime. Zbl 1359.35164Golse, François; Paul, Thierry 23 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 8 2017 From the \(N\)-body Schrödinger equation to the Vlasov equation. Zbl 1390.81148Golse, François 1 2017 On the mean field and classical limits of quantum mechanics. Zbl 1418.81021Golse, François; Mouhot, Clément; Paul, Thierry 35 2016 Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass. Zbl 1361.35125Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David 9 2016 The Boltzmann equation over \({\mathbb R^{\mathrm D}}\): dispersion versus dissipation. Zbl 1351.35099Golse, François 1 2016 The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient. Zbl 1328.76061Bardos, Claude; Bernard, Etienne; Golse, François; Sentis, Rémi 5 2015 Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry 3 2015 A gradient flow approach to quantization of measures. Zbl 1327.35197Caglioti, Emanuele; Golse, François; Iacobelli, Mikaela 3 2015 The steady Boltzmann and Navier-Stokes equations. Zbl 1321.35129Aoki, Kazuo; Golse, François; Kosuge, Shingo 2 2015 On the classical limit of the Schrödinger equation. Zbl 1332.35312Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry 1 2015 Fluid dynamic limits of the kinetic theory of gases. Zbl 1319.35155Golse, François 4 2014 Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070Desvillettes, Laurent; Golse, François; Ricci, Valeria 4 2014 Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343Golse, François; Perthame, Benoît 15 2013 Empirical measures and Vlasov hierarchies. Zbl 1302.82063Golse, François; Mouhot, Clément; Ricci, Valeria 10 2013 From the Boltzmann equation to the Euler equations in the presence of boundaries. Zbl 1319.76009Golse, François 5 2013 The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. Zbl 1291.35169Bardos, Claude; Golse, François; Paillard, Lionel 8 2012 Recent results on the periodic Lorentz gas. Zbl 1295.35352Golse, François 7 2012 The mean-field limit for a regularized Vlasov-Maxwell dynamics. Zbl 1251.82037Golse, François 5 2012 Homogenization and kinetic models in extended phase-space. Zbl 1257.82099Golse, François 1 2012 On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019Aoki, Kazuo; Golse, François 19 2011 On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas. Zbl 1210.82053Caglioti, Emanuele; Golse, François 13 2010 Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134Tsuji, Tetsuro; Aoki, Kazuo; Golse, François 11 2010 Homogenization of the linear Boltzmann equation in a domain with a periodic distribution of holes. Zbl 1227.82065Bernard, Etienne; Caglioti, Emanuele; Golse, François 2 2010 Nonlinear regularizing effect for hyperbolic partial differential equations. Zbl 1211.35185Golse, François 1 2010 Homogenization of transport problems and semigroups. Zbl 1194.35039Bernard, Etienne; Golse, François; Salvarani, Francesco 1 2010 The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials. Zbl 1178.35290Golse, François; Saint-Raymond, Laure 35 2009 Nonlinear regularizing effect for conservation laws. Zbl 1190.35151Golse, François 1 2009 The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018Desvillettes, Laurent; Golse, François; Ricci, Valeria 34 2008 On the periodic Lorentz gas and the Lorentz kinetic equation. Zbl 1166.82304Golse, François 15 2008 Analysis of the boundary layer equation in the kinetic theory of gases. Zbl 1142.82360Golse, François 10 2008 The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions. Zbl 1145.82019Caglioti, Emanuele; Golse, François 8 2008 Entropy methods for the Boltzmann equation. Lectures from a special semester at the Centre Émil Borel, Instititut H. Poincaré, Paris 2001. Zbl 1125.76001Rezakhanlou, Fraydoun; Villani, Cédric 4 2008 Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006Golse, François; Mahalov, Alex; Nicolaenko, Basil 3 2008 Radiative transfer equations and Rosseland approximation in gray matter. Zbl 1183.78012Golse, F.; Salvarani, F. 2 2008 Rigorous derivation of the cubic NLS in dimension one. Zbl 1118.81021Adami, Riccardo; Golse, François; Teta, Alessandro 65 2007 Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors. Zbl 1145.76041Takata, Shigeru; Golse, François 9 2007 The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem. Zbl 1178.82063Golse, François; Salvarani, Francesco 8 2007 The TDHF approximation for Hamiltonians with \(m\)-particle interaction potentials. Zbl 1135.81385Bardos, Claude; Ducomet, Bernard; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J. 8 2007 Half-space problems for the Boltzmann equation: a survey. Zbl 1125.82013Bardos, Claude; Golse, François; Sone, Yoshio 21 2006 The periodic Lorentz gas in the Boltzmann-Grad limit. Zbl 1109.82020Golse, François 8 2006 Numerical study of a domain decomposition method for a two-scale linear transport equation. Zbl 1115.65396Yang, Xu; Golse, Francois; Huang, Zhongyi; Jin, Shi 7 2006 The Boltzmann equation and its hydrodynamic limits. Zbl 1087.35080Golse, François 24 2005 Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038Coulombel, Jean-François; Golse, François; Goudon, Thierry 22 2005 Hydrodynamic limits for the Boltzmann equation. Zbl 1109.35112Golse, François; Saint-Raymond, Laure 11 2005 A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066de Lellis, Camillo; Golse, François 7 2005 Hydrodynamic limits. Zbl 1115.82028Golse, François 7 2005 Hydrodynamic limits of kinetic models. Zbl 1124.82015Golse, François; Levermore, C. David 3 2005 On the statistics of free-path lengths for the periodic Lorentz gas. Zbl 1221.82081Golse, François 3 2005 Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 1 2005 The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Zbl 1060.76101Golse, François; Saint-Raymond, Laure 114 2004 Towards a rigorous derivation of the cubic NLSE in dimension one. Zbl 1069.35082Adami, Riccardo; Bardos, Claude; Golse, François; Teta, Alessandro 23 2004 Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097Bouchut, François; Golse, François; Pallard, Christophe 11 2004 Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states. Zbl 1073.81076Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J. 10 2004 Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. 5 2004 Hydrodynamic limits of a Vlasov-Fokker-Planck equation for granular media. Zbl 1087.82020Benedetto, Dario; Caglioti, Emanuele; Golse, François; Pulvirenti, Mario 2 2004 On the derivation of nonlinear Schrödinger and Vlasov equations. Zbl 1145.82300Bardos, Claude; Golse, François; Gottlieb, Alex; Mauser, Norbert J. 1 2004 Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338Bouchut, François; Golse, François; Pallard, Christophe 1 2004 Mean field dynamics of fermions and the time-dependent Hartree-Fock equation. Zbl 1029.82022Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J. 52 2003 Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075Bouchut, François; Golse, François; Pallard, Christophe 40 2003 The mean-field limit for the dynamics of large particle systems. Zbl 1211.82037Golse, François 30 2003 The Vlasov-Poisson system with strong magnetic field in quasineutral regime. Zbl 1053.82032Golse, F.; Saint-Raymond, L. 29 2003 A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125Golse, François; Jin, Shi; Levermore, C. David 17 2003 On the distribution of free path lengths for the periodic Lorentz gas. III. Zbl 1041.82016Caglioti, Emanuele; Golse, François 16 2003 Dispersionless Toda and Toeplitz operators. Zbl 1024.37047Bloch, A.; Golse, F.; Paul, T.; Uribe, A. 13 2003 A paraxial model for the propagation of light: the boundary value problem for the Schrödinger-advection equation in a tilted frame. (Un modèle paraxial de propagation de la lumière: problème aux limites pour l’équation d’advection Schrödinger en coordonnées obliques.) Zbl 1038.35132Doumic, Marie; Golse, François; Sentis, Rémi 4 2003 Paraxial approximation in a tilted frame for laser wave propagation. Zbl 1046.81104Sentis, Remi; Doumic, Marie; Golse, François 1 2003 Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem. Zbl 1018.81009Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer 43 2002 Velocity averaging in \(L^1\) for the transport equation. Zbl 1154.35326Golse, François; Saint-Raymond, Laure 29 2002 Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Zbl 1044.76055Golse, François; Levermore, C. David 26 2002 Diffusion approximation of a Knudsen gas model: dependence of the diffusion constant upon the boundary condition. Zbl 1216.76063Boatto, Stefanella; Golse, François 4 2002 A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François 12 2001 Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase. Zbl 1184.76523Sone, Yoshio; Takata, Shigeru; Golse, François 11 2001 A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François 11 2001 The Navier-Stokes limit for the Boltzmann equation. Zbl 1056.35134Golse, François; Saint-Raymond, Laure 10 2001 The Stokes-Fourier limit for the Boltzmann equation. Zbl 1011.35111Golse, François; Levermore, C. David 2 2001 Weak coupling limit of the \(N\)-particle Schrödinger equation. Zbl 1003.81027Bardos, Claude; Golse, François; Mauser, Norbert J. 64 2000 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 51 2000 The acoustic limit for the Boltzmann equation. Zbl 0973.76075Bardos, Claude; Golse, François; Levermore, C. David 31 2000 Homogenization of transport equations. Zbl 0964.35016Dumas, Laurent; Golse, François 19 2000 On the distribution of free path lengths for the periodic Lorentz gas. II. Zbl 1006.82025Golse, François; Wennberg, Bernt 14 2000 Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. Zbl 0973.76076Sone, Yoshio; Bardos, Claude; Golse, François; Sugimoto, Hiroshi 11 2000 The relative entropy method for the hydrodynamical limits of kinetic models. (La méthode de l’entropie relative pour les limites hydrodynamiques de modèles cinétiques.) Zbl 1255.82067Golse, F.; Levermore, C. D.; Saint-Raymond, L. 5 2000 ...and 61 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,283 Authors 59 Golse, François 23 Saint-Raymond, Laure 22 Paul, Thierry 22 Perthame, Benoît 22 Yang, Tong 20 Aoki, Kazuo 20 Schlein, Benjamin 19 Bardos, Claude Williams 19 Bostan, Mihai 19 Degond, Pierre 19 Goudon, Thierry 19 Takata, Shigeru 18 Jin, Shi 18 Vasseur, Alexis F. 18 Wang, Yong 17 Han-Kwan, Daniel 16 Ducomet, Bernard 16 Jabin, Pierre-Emmanuel 15 Nečasová, Šárka 14 Masmoudi, Nader 14 Pavlović, Nataša 14 Salvarani, Francesco 13 Klar, Axel 13 Li, Qin 13 Mouhot, Clément 13 Pareschi, Lorenzo 13 Zhang, Xianwen 12 Carrillo de la Plata, José Antonio 12 Desvillettes, Laurent 12 Jiang, Ning 12 Zhao, Huijiang 11 Chen, Thomas M. 11 Duan, Renjun 11 Wang, Jian 10 Filbet, Francis 10 Liu, Shuangqian 10 Marklof, Jens 10 Mokhtar-Kharroubi, Mustapha 9 Huang, Feimin 9 Mauser, Norbert Julius 9 Schmeiser, Christian 9 Taguchi, Satoshi 8 Besse, Nicolas 8 Frank, Martin 8 Gallagher, Isabelle 8 Iacobelli, Mikaela 8 Levermore, C. David 8 Lions, Pierre-Louis 8 Liu, Tai-Ping 8 Lu, Jianfeng 8 Méhats, Florian 8 Mellet, Antoine 8 Negulescu, Claudia 8 Pickl, Peter 7 Arkeryd, Leif O. 7 Bernhoff, Niclas 7 Bouchut, François 7 Cercignani, Carlo 7 Chen, Xuwen 7 Crouseilles, Nicolas 7 Dimarco, Giacomo 7 Erdős, László 7 Gosse, Laurent 7 Höfer, Richard M. 7 Lachowicz, Mirosław 7 Markowich, Peter Alexander 7 Natalini, Roberto 7 Nouri, Anne 7 Porta, Marcello 7 Poupaud, Frédéric 7 Pulvirenti, Mario 7 Sone, Yoshio 7 Strain, Robert M. 7 Tayeb, Mohamed Lazhar 7 Ukai, Seiji 7 Wang, Li 7 Wang, Shu 7 Yang, Xiongfeng 7 Yu, Hongjun 6 Arsénio, Diogo 6 Bal, Guillaume 6 Benedikter, Niels 6 Chen, I-Kun 6 Dogbé, Christian 6 Feireisl, Eduard 6 Glass, Olivier 6 Holmer, Justin 6 Jüngel, Ansgar 6 Lemou, Mohammed 6 Lewin, Mathieu 6 Li, Yeping 6 Liu, Jianguo 6 Mischler, Stéphane 6 Nguyen, Khai T. 6 Phan Thành Nam 6 Ricci, Valeria 6 Rougerie, Nicolas 6 Sentis, Remi 6 Sun, Weiran 6 Tadmor, Eitan ...and 1,183 more Authors all top 5 Cited in 223 Serials 97 Journal of Statistical Physics 76 Archive for Rational Mechanics and Analysis 59 Communications in Mathematical Physics 57 Journal of Computational Physics 49 Journal of Differential Equations 49 M\(^3\)AS. 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English Series 3 International Journal of Geometric Methods in Modern Physics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Advances in Mathematical Physics 3 EMS Surveys in Mathematical Sciences 3 Annales Henri Lebesgue 2 Applicable Analysis 2 Fluid Dynamics 2 Inverse Problems 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology ...and 123 more Serials all top 5 Cited in 54 Fields 965 Partial differential equations (35-XX) 629 Statistical mechanics, structure of matter (82-XX) 500 Fluid mechanics (76-XX) 159 Quantum theory (81-XX) 147 Numerical analysis (65-XX) 82 Dynamical systems and ergodic theory (37-XX) 81 Probability theory and stochastic processes (60-XX) 70 Global analysis, analysis on manifolds (58-XX) 62 Integral equations (45-XX) 54 Optics, electromagnetic theory (78-XX) 50 Operator theory (47-XX) 42 Functional analysis (46-XX) 41 Biology and other natural sciences (92-XX) 34 Astronomy and astrophysics (85-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 29 Differential geometry (53-XX) 25 Classical thermodynamics, heat transfer (80-XX) 24 Ordinary differential equations (34-XX) 23 Mechanics of deformable solids (74-XX) 19 Mechanics of particles and systems (70-XX) 19 Relativity and gravitational theory (83-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Systems theory; control (93-XX) 10 Operations research, mathematical programming (90-XX) 9 Approximations and expansions (41-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Real functions (26-XX) 8 Measure and integration (28-XX) 8 Information and communication theory, circuits (94-XX) 6 Number theory (11-XX) 6 Integral transforms, operational calculus (44-XX) 5 General and overarching topics; collections (00-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 5 Abstract harmonic analysis (43-XX) 5 Geophysics (86-XX) 4 Algebraic geometry (14-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 \(K\)-theory (19-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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