Golse, François

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 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
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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
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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
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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)

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 0652.47031
Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi
1988
Fluid dynamic limits of kinetic equations. II: Convergence proofs for the Boltzmann equation. Zbl 0817.76002
Bardos, Claude; Golse, François; Levermore, C. David
1993
The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Zbl 1060.76101
Golse, François; Saint-Raymond, Laure
2004
A classification of well-posed kinetic layer problems. Zbl 0632.76088
Coron, François; Golse, François; Sulem, Catherine
1988
Rigorous derivation of the cubic NLS in dimension one. Zbl 1118.81021
Adami, Riccardo; Golse, François; Teta, Alessandro
2007
Weak coupling limit of the $$N$$-particle Schrödinger equation. Zbl 1003.81027
Bardos, Claude; Golse, François; Mauser, Norbert J.
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 0591.45007
Golse, François; Perthame, Benoît; Sentis, Rémi
1985
The Vlasov-Poisson system with strong magnetic field. Zbl 0977.35108
Golse, François; Saint-Raymond, Laure
1999
The noncommutative residue for manifolds with boundary. Zbl 0877.58005
Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar
1996
The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075
Bardos, C.; Golse, F.; Perthame, B.; Sentis, R.
1988
Mean field dynamics of fermions and the time-dependent Hartree-Fock equation. Zbl 1029.82022
Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J.
2003
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
2000
Stationary solutions of the linearized Boltzmann equation in a half- space. Zbl 0679.35021
Golse, F.; Poupaud, F.
1989
On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089
Golse, Francois; Perthame, Benoit; Sulem, Catherine
1988
Derivation of the Schrödinger-Poisson equation from the quantum $$N$$-body problem. Zbl 1018.81009
Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer
2002
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
2003
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation. Zbl 1431.35016
Golse, François; Imbert, Cyril; Mouhot, Clément; Vasseur, Alexis
2019
The convergence of numerical transfer schemes in diffusive regimes. I: Discrete-ordinate method. Zbl 1053.82030
Golse, François; Jin, Shi; Levermore, C. David
1999
The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials. Zbl 1178.35290
Golse, François; Saint-Raymond, Laure
2009
On the mean field and classical limits of quantum mechanics. Zbl 1418.81021
Golse, François; Mouhot, Clément; Paul, Thierry
2016
The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018
Desvillettes, Laurent; Golse, François; Ricci, Valeria
2008
The acoustic limit for the Boltzmann equation. Zbl 0973.76075
Bardos, Claude; Golse, François; Levermore, C. David
2000
The mean-field limit for the dynamics of large particle systems. Zbl 1211.82037
Golse, François
2003
The Vlasov-Poisson system with strong magnetic field in quasineutral regime. Zbl 1053.82032
Golse, F.; Saint-Raymond, L.
2003
On the distribution of free path lengths for the periodic Lorentz gas. Zbl 0910.60082
Bourgain, Jean; Golse, François; Wennberg, Bernt
1998
Velocity averaging in $$L^1$$ for the transport equation. Zbl 1154.35326
Golse, François; Saint-Raymond, Laure
2002
Acoustic and Stokes limits for the Boltzmann equation. Zbl 0918.35109
Bardos, Claude; Golse, François; Levermore, C. David
1998
Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Zbl 1044.76055
Golse, François; Levermore, C. David
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 0784.35084
Golse, F.; Poupaud, F.
1992
The Boltzmann equation and its hydrodynamic limits. Zbl 1087.35080
Golse, François
2005
Towards a rigorous derivation of the cubic NLSE in dimension one. Zbl 1069.35082
Adami, Riccardo; Bardos, Claude; Golse, François; Teta, Alessandro
2004
The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095
Bardos, C.; Golse, F.; Perthame, B.
1987
The Schrödinger equation in the mean-field and semiclassical regime. Zbl 1359.35164
Golse, François; Paul, Thierry
2017
Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038
Coulombel, Jean-François; Golse, François; Goudon, Thierry
2005
Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084
Golse, F.; Perthame, B.
1986
Half-space problems for the Boltzmann equation: a survey. Zbl 1125.82013
Bardos, Claude; Golse, François; Sone, Yoshio
2006
Analytical study of transonic flows of a gas condensing onto its plane condensed phase on the basis of kinetic theory. Zbl 0922.76235
Sone, Yoshio; Golse, François; Ohwada, Taku; Doi, Toshiyuki
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 0839.76096
Brézis, Haïm; Golse, François; Sentis, Rémi
1995
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François
2011
Homogenization of transport equations. Zbl 0964.35016
Dumas, Laurent; Golse, François
2000
Macroscopic limits of kinetic equations. Zbl 0737.76064
Bardos, Claude; Golse, François; Levermore, David
1991
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
2003
On the distribution of free path lengths for the periodic Lorentz gas. III. Zbl 1041.82016
Caglioti, Emanuele; Golse, François
2003
Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343
Golse, François; Perthame, Benoît
2013
On the periodic Lorentz gas and the Lorentz kinetic equation. Zbl 1166.82304
Golse, François
2008
Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020
Gérard, Patrick; Golse, François
1992
A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems. Zbl 1081.82618
Golse, François; Klar, Axel
1995
On the distribution of free path lengths for the periodic Lorentz gas. II. Zbl 1006.82025
Golse, François; Wennberg, Bernt
2000
On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas. Zbl 1210.82053
Caglioti, Emanuele; Golse, François
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 0697.35111
Bardos, Claude; Golse, François; Levermore, David
1989
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
2003
A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033
Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François
2001
Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic Riemannian manifolds. Zbl 0889.32037
Golse, François; Leichtnam, Eric; Stenzel, Matthews
1996
Hydrodynamic limits for the Boltzmann equation. Zbl 1109.35112
Golse, François; Saint-Raymond, Laure
2005
Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. Zbl 0973.76076
Sone, Yoshio; Bardos, Claude; Golse, François; Sugimoto, Hiroshi
2000
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
2004
Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134
Tsuji, Tetsuro; Aoki, Kazuo; Golse, François
2010
Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase. Zbl 1184.76523
Sone, Yoshio; Takata, Shigeru; Golse, François
2001
A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014
Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François
2001
Knudsen layers from a computational viewpoint. Zbl 0754.76066
Golse, François
1992
Empirical measures and Vlasov hierarchies. Zbl 1302.82063
Golse, François; Mouhot, Clément; Ricci, Valeria
2013
Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states. Zbl 1073.81076
Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J.
2004
Analysis of the boundary layer equation in the kinetic theory of gases. Zbl 1142.82360
Golse, François
2008
The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241
Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi
2018
The Navier-Stokes limit for the Boltzmann equation. Zbl 1056.35134
Golse, François; Saint-Raymond, Laure
2001
Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors. Zbl 1145.76041
Takata, Shigeru; Golse, François
2007
Global solutions of the Boltzmann equation over $${\mathbb{R}^D}$$ near global Maxwellians with small mass. Zbl 1361.35125
Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David
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 1383.81030
Golse, François; Paul, Thierry
2018
On the derivation of the Hartree equation from the $$N$$-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146
Golse, François; Paul, Thierry; Pulvirenti, Mario
2018
The periodic Lorentz gas in the Boltzmann-Grad limit. Zbl 1109.82020
Golse, François
2006
The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. Zbl 1291.35169
Bardos, Claude; Golse, François; Paillard, Lionel
2012
The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem. Zbl 1178.82063
Golse, François; Salvarani, Francesco
2007
The TDHF approximation for Hamiltonians with $$m$$-particle interaction potentials. Zbl 1135.81385
Bardos, Claude; Ducomet, Bernard; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J.
2007
The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions. Zbl 1145.82019
Caglioti, Emanuele; Golse, François
2008
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
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 0866.76078
Wakabayashi, M.; Ohwada, T.; Golse, F.
1996
A remark concerning the Chapman-Enskog asymptotics. Zbl 0863.76071
Desvillettes, L.; Golse, F.
1994
Applications of the Boltzmann equation within the context of upper atmosphere vehicle aerodynamics. Zbl 0687.76078
Golse, François
1989
A priori estimates and existence results for the Vlasov and Boltzmann equations. Zbl 0608.35067
Bardos, C.; Degond, P.; Golse, F.
1986
Numerical study of a domain decomposition method for a two-scale linear transport equation. Zbl 1115.65396
Yang, Xu; Golse, Francois; Huang, Zhongyi; Jin, Shi
2006
A hydrodynamic model arising in the context of granular media. Zbl 0946.76096
Benedetto, D.; Caglioti, E.; Golse, F.; Pulvirenti, M.
1999
A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066
de Lellis, Camillo; Golse, François
2005
Recent results on the periodic Lorentz gas. Zbl 1295.35352
Golse, François
2012
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
Hydrodynamic limits. Zbl 1115.82028
Golse, François
2005
Empirical measures and quantum mechanics: applications to the mean-field limit. Zbl 1417.81127
Golse, François; Paul, Thierry
2019
Multiphase averaging for generalized flows on manifolds. Zbl 0799.58066
Dumas, H. S.; Golse, F.; Lochak, P.
1994
The mean-field limit for a regularized Vlasov-Maxwell dynamics. Zbl 1251.82037
Golse, François
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 0604.76067
Golse, François; Poupaud, Frédéric
1986
Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
2004
Anomalous diffusion limit for the Knudsen gas. Zbl 0974.76073
Golse, François
1998
The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient. Zbl 1328.76061
Bardos, Claude; Bernard, Etienne; Golse, François; Sentis, Rémi
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 1255.82067
Golse, F.; Levermore, C. D.; Saint-Raymond, L.
2000
Diffusion approximation for billiards with totally accommodating scatterers. Zbl 0937.82042
Bardos, Claude; Dumas, Laurent; Golse, François
1997
From the Boltzmann equation to the Euler equations in the presence of boundaries. Zbl 1319.76009
Golse, François
2013
On a model Boltzmann equation without angular cutoff. Zbl 1013.76072
Desvillettes, L.; Golse, F.
2000
Remarques sur l’homogénéisation des équations de transort. (Remarks on the homogenization of transport equations). Zbl 0658.35083
Golse, François
1987
Fluid limit of the Vlasov-Poisson-Boltzmann equation of semiconductors. Zbl 0678.76081
Golse, F.; Poupaud, F.
1988
Erratum to the article: The Rosseland approximation for the radiative transfer equations. Zbl 0685.65128
Bardos, Claude; Golse, François; Perthame, Benoît
1989
Fluid dynamic limits of the kinetic theory of gases. Zbl 1319.35155
Golse, François
2014
Optimal transport pseudometrics for quantum and classical densities. Zbl 1485.49053
Golse, François; Paul, Thierry
2022
Semiclassical evolution with low regularity. Zbl 1472.35323
Golse, François; Paul, Thierry
2021
On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038
Golse, François; Jin, Shi; Paul, Thierry
2021
On the boundary layer equations with phase transition in the kinetic theory of gases. Zbl 1472.82011
Bernhoff, Niclas; Golse, François
2021
The random batch method for $$N$$-body quantum dynamics. Zbl 07533084
Golse, François; Jin, Shi; Paul, Thierry
2021
Quantum optimal transport is cheaper. Zbl 1448.49045
Caglioti, E.; Golse, F.; Paul, T.
2020
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation. Zbl 1431.35016
Golse, François; Imbert, Cyril; Mouhot, Clément; Vasseur, Alexis
2019
Empirical measures and quantum mechanics: applications to the mean-field limit. Zbl 1417.81127
Golse, François; Paul, Thierry
2019
A mean-field limit of the Lohe matrix model and emergent dynamics. Zbl 1425.37046
Golse, François; Ha, Seung-Yeal
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
The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241
Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi
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 1383.81030
Golse, François; Paul, Thierry
2018
On the derivation of the Hartree equation from the $$N$$-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146
Golse, François; Paul, Thierry; Pulvirenti, Mario
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
Linear Boltzmann equation and fractional diffusion. Zbl 1405.35244
Bardos, Claude; Golse, François; Moyano, Ivan
2018
Quantization of probability distributions and gradient flows in space dimension 2. Zbl 1394.35219
Caglioti, Emanuele; Golse, François; Iacobelli, Mikaela
2018
Transport and diffusion. (Transport et diffusion.) Zbl 1432.82002
Allaire, Grégoire; Blanc, Xavier; Després, Bruno; Golse, François
2018
The Schrödinger equation in the mean-field and semiclassical regime. Zbl 1359.35164
Golse, François; Paul, Thierry
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
From the $$N$$-body Schrödinger equation to the Vlasov equation. Zbl 1390.81148
Golse, François
2017
On the mean field and classical limits of quantum mechanics. Zbl 1418.81021
Golse, François; Mouhot, Clément; Paul, Thierry
2016
Global solutions of the Boltzmann equation over $${\mathbb{R}^D}$$ near global Maxwellians with small mass. Zbl 1361.35125
Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David
2016
The Boltzmann equation over $${\mathbb R^{\mathrm D}}$$: dispersion versus dissipation. Zbl 1351.35099
Golse, François
2016
The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient. Zbl 1328.76061
Bardos, Claude; Bernard, Etienne; Golse, François; Sentis, Rémi
2015
Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2015
A gradient flow approach to quantization of measures. Zbl 1327.35197
Caglioti, Emanuele; Golse, François; Iacobelli, Mikaela
2015
The steady Boltzmann and Navier-Stokes equations. Zbl 1321.35129
Aoki, Kazuo; Golse, François; Kosuge, Shingo
2015
On the classical limit of the Schrödinger equation. Zbl 1332.35312
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2015
Fluid dynamic limits of the kinetic theory of gases. Zbl 1319.35155
Golse, François
2014
Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070
Desvillettes, Laurent; Golse, François; Ricci, Valeria
2014
Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343
Golse, François; Perthame, Benoît
2013
Empirical measures and Vlasov hierarchies. Zbl 1302.82063
Golse, François; Mouhot, Clément; Ricci, Valeria
2013
From the Boltzmann equation to the Euler equations in the presence of boundaries. Zbl 1319.76009
Golse, François
2013
The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. Zbl 1291.35169
Bardos, Claude; Golse, François; Paillard, Lionel
2012
Recent results on the periodic Lorentz gas. Zbl 1295.35352
Golse, François
2012
The mean-field limit for a regularized Vlasov-Maxwell dynamics. Zbl 1251.82037
Golse, François
2012
Homogenization and kinetic models in extended phase-space. Zbl 1257.82099
Golse, François
2012
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François
2011
On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas. Zbl 1210.82053
Caglioti, Emanuele; Golse, François
2010
Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134
Tsuji, Tetsuro; Aoki, Kazuo; Golse, François
2010
Homogenization of the linear Boltzmann equation in a domain with a periodic distribution of holes. Zbl 1227.82065
Bernard, Etienne; Caglioti, Emanuele; Golse, François
2010
Nonlinear regularizing effect for hyperbolic partial differential equations. Zbl 1211.35185
Golse, François
2010
Homogenization of transport problems and semigroups. Zbl 1194.35039
Bernard, Etienne; Golse, François; Salvarani, Francesco
2010
The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials. Zbl 1178.35290
Golse, François; Saint-Raymond, Laure
2009
Nonlinear regularizing effect for conservation laws. Zbl 1190.35151
Golse, François
2009
The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018
Desvillettes, Laurent; Golse, François; Ricci, Valeria
2008
On the periodic Lorentz gas and the Lorentz kinetic equation. Zbl 1166.82304
Golse, François
2008
Analysis of the boundary layer equation in the kinetic theory of gases. Zbl 1142.82360
Golse, François
2008
The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions. Zbl 1145.82019
Caglioti, Emanuele; Golse, François
2008
Entropy methods for the Boltzmann equation. Lectures from a special semester at the Centre Émil Borel, Instititut H. Poincaré, Paris 2001. Zbl 1125.76001
Rezakhanlou, Fraydoun; Villani, Cédric
2008
Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006
Golse, François; Mahalov, Alex; Nicolaenko, Basil
2008
Radiative transfer equations and Rosseland approximation in gray matter. Zbl 1183.78012
Golse, F.; Salvarani, F.
2008
Rigorous derivation of the cubic NLS in dimension one. Zbl 1118.81021
Adami, Riccardo; Golse, François; Teta, Alessandro
2007
Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors. Zbl 1145.76041
Takata, Shigeru; Golse, François
2007
The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem. Zbl 1178.82063
Golse, François; Salvarani, Francesco
2007
The TDHF approximation for Hamiltonians with $$m$$-particle interaction potentials. Zbl 1135.81385
Bardos, Claude; Ducomet, Bernard; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J.
2007
Half-space problems for the Boltzmann equation: a survey. Zbl 1125.82013
Bardos, Claude; Golse, François; Sone, Yoshio
2006
The periodic Lorentz gas in the Boltzmann-Grad limit. Zbl 1109.82020
Golse, François
2006
Numerical study of a domain decomposition method for a two-scale linear transport equation. Zbl 1115.65396
Yang, Xu; Golse, Francois; Huang, Zhongyi; Jin, Shi
2006
The Boltzmann equation and its hydrodynamic limits. Zbl 1087.35080
Golse, François
2005
Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038
Coulombel, Jean-François; Golse, François; Goudon, Thierry
2005
Hydrodynamic limits for the Boltzmann equation. Zbl 1109.35112
Golse, François; Saint-Raymond, Laure
2005
A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066
de Lellis, Camillo; Golse, François
2005
Hydrodynamic limits. Zbl 1115.82028
Golse, François
2005
Hydrodynamic limits of kinetic models. Zbl 1124.82015
Golse, François; Levermore, C. David
2005
On the statistics of free-path lengths for the periodic Lorentz gas. Zbl 1221.82081
Golse, François
2005
Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
2005
The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Zbl 1060.76101
Golse, François; Saint-Raymond, Laure
2004
Towards a rigorous derivation of the cubic NLSE in dimension one. Zbl 1069.35082
Adami, Riccardo; Bardos, Claude; Golse, François; Teta, Alessandro
2004
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
2004
Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states. Zbl 1073.81076
Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J.
2004
Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. Zbl 1103.35083
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
2004
Hydrodynamic limits of a Vlasov-Fokker-Planck equation for granular media. Zbl 1087.82020
Benedetto, Dario; Caglioti, Emanuele; Golse, François; Pulvirenti, Mario
2004
On the derivation of nonlinear Schrödinger and Vlasov equations. Zbl 1145.82300
Bardos, Claude; Golse, François; Gottlieb, Alex; Mauser, Norbert J.
2004
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338
Bouchut, François; Golse, François; Pallard, Christophe
2004
Mean field dynamics of fermions and the time-dependent Hartree-Fock equation. Zbl 1029.82022
Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J.
2003
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
2003
The mean-field limit for the dynamics of large particle systems. Zbl 1211.82037
Golse, François
2003
The Vlasov-Poisson system with strong magnetic field in quasineutral regime. Zbl 1053.82032
Golse, F.; Saint-Raymond, L.
2003
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
2003
On the distribution of free path lengths for the periodic Lorentz gas. III. Zbl 1041.82016
Caglioti, Emanuele; Golse, François
2003
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
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 1038.35132
Doumic, Marie; Golse, François; Sentis, Rémi
2003
Paraxial approximation in a tilted frame for laser wave propagation. Zbl 1046.81104
Sentis, Remi; Doumic, Marie; Golse, François
2003
Derivation of the Schrödinger-Poisson equation from the quantum $$N$$-body problem. Zbl 1018.81009
Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer
2002
Velocity averaging in $$L^1$$ for the transport equation. Zbl 1154.35326
Golse, François; Saint-Raymond, Laure
2002
Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Zbl 1044.76055
Golse, François; Levermore, C. David
2002
Diffusion approximation of a Knudsen gas model: dependence of the diffusion constant upon the boundary condition. Zbl 1216.76063
Boatto, Stefanella; Golse, François
2002
A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033
Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François
2001
Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase. Zbl 1184.76523
Sone, Yoshio; Takata, Shigeru; Golse, François
2001
A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014
Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François
2001
The Navier-Stokes limit for the Boltzmann equation. Zbl 1056.35134
Golse, François; Saint-Raymond, Laure
2001
The Stokes-Fourier limit for the Boltzmann equation. Zbl 1011.35111
Golse, François; Levermore, C. David
2001
Weak coupling limit of the $$N$$-particle Schrödinger equation. Zbl 1003.81027
Bardos, Claude; Golse, François; Mauser, Norbert J.
2000
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
2000
The acoustic limit for the Boltzmann equation. Zbl 0973.76075
Bardos, Claude; Golse, François; Levermore, C. David
2000
Homogenization of transport equations. Zbl 0964.35016
Dumas, Laurent; Golse, François
2000
On the distribution of free path lengths for the periodic Lorentz gas. II. Zbl 1006.82025
Golse, François; Wennberg, Bernt
2000
Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. Zbl 0973.76076
Sone, Yoshio; Bardos, Claude; Golse, François; Sugimoto, Hiroshi
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 1255.82067
Golse, F.; Levermore, C. D.; Saint-Raymond, L.
2000
...and 61 more Documents
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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
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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. Mathematical Models & Methods in Applied Sciences 49 SIAM Journal on Mathematical Analysis 42 Kinetic and Related Models 33 Journal of Functional Analysis 32 Journal of Mathematical Physics 31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 31 Communications in Partial Differential Equations 30 Transport Theory and Statistical Physics 29 Journal of Mathematical Analysis and Applications 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Physics of Fluids 17 Séminaire Laurent Schwartz. EDP et Applications 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Annales Henri Poincaré 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Transactions of the American Mathematical Society 13 Communications on Pure and Applied Mathematics 13 Mathematical Methods in the Applied Sciences 12 Applied Mathematics Letters 12 SIAM Journal on Scientific Computing 12 Multiscale Modeling & Simulation 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Discrete and Continuous Dynamical Systems 11 European Journal of Mechanics. B. Fluids 10 Computers & Mathematics with Applications 10 SIAM Journal on Numerical Analysis 10 Annals of PDE 9 Letters in Mathematical Physics 9 Mathematics of Computation 9 Inventiones Mathematicae 9 Quarterly of Applied Mathematics 9 SIAM Journal on Applied Mathematics 9 Journal of Hyperbolic Differential Equations 8 Advances in Mathematics 8 Physica D 8 Journal of the American Mathematical Society 8 Calculus of Variations and Partial Differential Equations 8 Journal of Evolution Equations 7 Proceedings of the American Mathematical Society 7 Acta Applicandae Mathematicae 7 Bulletin of the American Mathematical Society. New Series 7 Journal of Nonlinear Science 7 Journal of Pseudo-Differential Operators and Applications 6 Nonlinearity 6 Journal of Geometry and Physics 6 Chinese Annals of Mathematics. Series B 6 Asymptotic Analysis 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 6 Analysis & PDE 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Fluid Mechanics 5 Revista Matemática Iberoamericana 5 Mathematical and Computer Modelling 5 Journal of Scientific Computing 5 Bulletin des Sciences Mathématiques 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Mathematical Fluid Mechanics 5 Analysis and Applications (Singapore) 5 Journal de l’École Polytechnique – Mathématiques 5 Journal of Computational and Theoretical Transport 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 Stochastic Processes and their Applications 4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of Nonlinear Mathematical Physics 4 Nonlinear Analysis. Real World Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Noncommutative Geometry 4 Communications in Computational Physics 4 Networks and Heterogeneous Media 4 Discrete and Continuous Dynamical Systems. Series S 3 Reviews in Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Mathematische Annalen 3 Numerische Mathematik 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Numerical Methods for Partial Differential Equations 3 The Annals of Applied Probability 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Mathematical Sciences (New York) 3 Abstract and Applied Analysis 3 Annals of Mathematics. Second Series 3 Acta Mathematica Sinica. 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
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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)

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