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Author ID: golse.francois Recent zbMATH articles by "Golse, François"
Published as: Golse, François; Golse, F.; Golse, Francois
Homepage: http://www.cmls.polytechnique.fr/perso/golse/
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

49 single-authored
39 Bardos, Claude Williams
19 Paul, Thierry
13 Perthame, Benoît
11 Sentis, Remi
10 Caglioti, Emanuele
10 Levermore, C. David
9 Saint-Raymond, Laure
8 Aoki, Kazuo
8 Desvillettes, Laurent
8 Ricci, Valeria
7 Mauser, Norbert Julius
6 Jin, Shi
6 Sone, Yoshio
5 Bernard, Étienne
5 Dumas, H. Scott
5 Dumas, Laurent
5 Gottlieb, Alex D.
4 Bouchut, François
4 Imbert, Cyril
4 Leichtnam, Eric
4 Lochak, Pierre
4 Mahalov, Alex
4 Nicolaenko, Basil
4 Poupaud, Frédéric
4 Pulvirenti, Mario
4 Vasseur, Alexis F.
3 Doumic, Marie
3 Mouhot, Clément
3 Pallard, Christophe
3 Pironneau, Olivier R.
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 Kosuge, Shingo
2 Levermore, David
2 Markowich, Peter Alexander
2 Merle, Frank
2 Ohwada, Taku
2 Schrohe, Elmar
2 Soares, Ana Jacinta
2 Teta, Alessandro
1 Aikawa, Hidefumi
1 Allaire, Grégoire
1 Bernardin, Cédric
1 Bernhoff, Niclas
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 Filbet, Francis
1 Gallagher, Isabelle
1 Martínez Gamba, Irene
1 Ghaoui, Zahia
1 Giovangigli, Vincent
1 Gonçalves, Patrícia C.
1 Gualdani, Maria Pia
1 Ha, Seung-Yeal
1 Hecht, Frédéric
1 Huang, Zhongyi
1 Ji, Sehyun
1 Klar, Axel
1 Kogan, Mikhail Naumovich
1 Lagoutière, Frédéric
1 Lions, Pierre-Louis
1 Liu, Nana
1 Maire, Pierre-Henri
1 Martel, Valérie
1 Moyano, Iván
1 Nguyen, Toan Trong
1 Olla, Stefano
1 Paillard, Lionel
1 Porat, Immanuel Ben
1 Puel, Marjolaine
1 Rezakhanlou, Fraydoun
1 Smets, Didier
1 Stenzel, Matthews
1 Sugimoto, Hiroshi
1 Tournier, Pierre-Henri
1 Tsuji, Tetsuro
...and 4 more Co-Authors
all top 5

Serials

13 Comptes Rendus de l’Académie des Sciences. Série I
12 Journal of Statistical Physics
8 Communications on Pure and Applied Mathematics
7 Archive for Rational Mechanics and Analysis
7 Communications in Mathematical Physics
7 Communications in Mathematical Sciences
6 Journal of Functional Analysis
6 Asymptotic Analysis
6 Kinetic and Related Models
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
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 Journal of Computational Physics
2 Mathematical Methods in the Applied Sciences
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 SIAM Journal on Numerical Analysis
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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Computer Methods in Applied Mechanics and Engineering
1 Letters in Mathematical Physics
1 Nonlinearity
1 Commentarii Mathematici Helvetici
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Lecture Notes in Mathematics
1 Series in Applied Mathematics (Paris)
1 Networks and Heterogeneous Media
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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
1 La Matematica

Publications by Year

Citations contained in zbMATH Open

170 Publications have been cited 3,223 times in 1,801 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
223
1988
Fluid dynamic limits of kinetic equations. II: Convergence proofs for the Boltzmann equation. Zbl 0817.76002
Bardos, Claude; Golse, François; Levermore, C. David
190
1993
The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Zbl 1060.76101
Golse, François; Saint-Raymond, Laure
143
2004
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
95
2000
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
83
2019
Weak coupling limit of the \(N\)-particle Schrödinger equation. Zbl 1003.81027
Bardos, Claude; Golse, François; Mauser, Norbert J.
75
2000
Rigorous derivation of the cubic NLS in dimension one. Zbl 1118.81021
Adami, Riccardo; Golse, François; Teta, Alessandro
74
2007
A classification of well-posed kinetic layer problems. Zbl 0632.76088
Coron, François; Golse, François; Sulem, Catherine
73
1988
The noncommutative residue for manifolds with boundary. Zbl 0877.58005
Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar
69
1996
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
67
1985
The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075
Bardos, C.; Golse, F.; Perthame, B.; Sentis, R.
65
1988
The Vlasov-Poisson system with strong magnetic field. Zbl 0977.35108
Golse, François; Saint-Raymond, Laure
63
1999
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.
62
2003
On the mean field and classical limits of quantum mechanics. Zbl 1418.81021
Golse, François; Mouhot, Clément; Paul, Thierry
62
2016
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
59
2002
Stationary solutions of the linearized Boltzmann equation in a half- space. Zbl 0679.35021
Golse, F.; Poupaud, F.
55
1989
On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089
Golse, Francois; Perthame, Benoit; Sulem, Catherine
53
1988
The mean-field limit for the dynamics of large particle systems. Zbl 1211.82037
Golse, François
49
2003
The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials. Zbl 1178.35290
Golse, François; Saint-Raymond, Laure
46
2009
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
44
2003
The convergence of numerical transfer schemes in diffusive regimes. I: Discrete-ordinate method. Zbl 1053.82030
Golse, François; Jin, Shi; Levermore, C. David
42
1999
The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018
Desvillettes, Laurent; Golse, François; Ricci, Valeria
41
2008
The Schrödinger equation in the mean-field and semiclassical regime. Zbl 1359.35164
Golse, François; Paul, Thierry
40
2017
The acoustic limit for the Boltzmann equation. Zbl 0973.76075
Bardos, Claude; Golse, François; Levermore, C. David
37
2000
Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Zbl 1044.76055
Golse, François; Levermore, C. David
36
2002
On the distribution of free path lengths for the periodic Lorentz gas. Zbl 0910.60082
Bourgain, Jean; Golse, François; Wennberg, Bernt
35
1998
The Vlasov-Poisson system with strong magnetic field in quasineutral regime. Zbl 1053.82032
Golse, F.; Saint-Raymond, L.
35
2003
Velocity averaging in \(L^1\) for the transport equation. Zbl 1154.35326
Golse, François; Saint-Raymond, Laure
34
2002
Acoustic and Stokes limits for the Boltzmann equation. Zbl 0918.35109
Bardos, Claude; Golse, François; Levermore, C. David
33
1998
The Boltzmann equation and its hydrodynamic limits. Zbl 1087.35080
Golse, François
32
2005
The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095
Bardos, C.; Golse, F.; Perthame, B.
30
1987
Half-space problems for the Boltzmann equation: a survey. Zbl 1125.82013
Bardos, Claude; Golse, François; Sone, Yoshio
30
2006
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.
28
1992
Towards a rigorous derivation of the cubic NLSE in dimension one. Zbl 1069.35082
Adami, Riccardo; Bardos, Claude; Golse, François; Teta, Alessandro
27
2004
Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084
Golse, F.; Perthame, B.
26
1986
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François
26
2011
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
25
1995
Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343
Golse, François; Perthame, Benoît
25
2013
Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038
Coulombel, Jean-François; Golse, François; Goudon, Thierry
24
2005
On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas. Zbl 1210.82053
Caglioti, Emanuele; Golse, François
23
2010
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
22
1998
On the distribution of free path lengths for the periodic Lorentz gas. III. Zbl 1041.82016
Caglioti, Emanuele; Golse, François
21
2003
Homogenization of transport equations. Zbl 0964.35016
Dumas, Laurent; Golse, François
21
2000
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
20
2003
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
20
2018
Macroscopic limits of kinetic equations. Zbl 0737.76064
Bardos, Claude; Golse, François; Levermore, David
19
1991
On the periodic Lorentz gas and the Lorentz kinetic equation. Zbl 1166.82304
Golse, François
19
2008
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
17
1989
Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020
Gérard, Patrick; Golse, François
17
1992
On the distribution of free path lengths for the periodic Lorentz gas. II. Zbl 1006.82025
Golse, François; Wennberg, Bernt
17
2000
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
17
2018
A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033
Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François
15
2001
Hydrodynamic limits for the Boltzmann equation. Zbl 1109.35112
Golse, François; Saint-Raymond, Laure
15
2005
A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems. Zbl 1081.82618
Golse, François; Klar, Axel
15
1995
The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241
Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi
15
2018
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
14
1996
A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014
Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François
14
2001
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
14
2003
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
14
2000
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
14
2004
Empirical measures and quantum mechanics: applications to the mean-field limit. Zbl 1417.81127
Golse, François; Paul, Thierry
14
2019
Analysis of the boundary layer equation in the kinetic theory of gases. Zbl 1142.82360
Golse, François
13
2008
Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134
Tsuji, Tetsuro; Aoki, Kazuo; Golse, François
13
2010
The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions. Zbl 1145.82019
Caglioti, Emanuele; Golse, François
13
2008
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
13
2001
The periodic Lorentz gas in the Boltzmann-Grad limit. Zbl 1109.82020
Golse, François
12
2006
Quantum optimal transport is cheaper. Zbl 1448.49045
Caglioti, E.; Golse, F.; Paul, T.
12
2020
Empirical measures and Vlasov hierarchies. Zbl 1302.82063
Golse, François; Mouhot, Clément; Ricci, Valeria
12
2013
On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038
Golse, François; Jin, Shi; Paul, Thierry
12
2021
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
11
2007
The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem. Zbl 1178.82063
Golse, François; Salvarani, Francesco
11
2007
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.
11
2004
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
11
2017
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
11
2016
A priori estimates and existence results for the Vlasov and Boltzmann equations. Zbl 0608.35067
Bardos, C.; Degond, P.; Golse, F.
10
1986
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.
10
1996
The Navier-Stokes limit for the Boltzmann equation. Zbl 1056.35134
Golse, François; Saint-Raymond, Laure
10
2001
Knudsen layers from a computational viewpoint. Zbl 0754.76066
Golse, François
10
1992
A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066
de Lellis, Camillo; Golse, François
10
2005
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
10
2018
Recent results on the periodic Lorentz gas. Zbl 1295.35352
Golse, François
10
2012
On a model Boltzmann equation without angular cutoff. Zbl 1013.76072
Desvillettes, L.; Golse, F.
9
2000
Hydrodynamic limits. Zbl 1115.82028
Golse, François
9
2005
The random batch method for \(N\)-body quantum dynamics. Zbl 1499.82029
Golse, François; Jin, Shi; Paul, Thierry
9
2021
A mean-field limit of the Lohe matrix model and emergent dynamics. Zbl 1425.37046
Golse, François; Ha, Seung-Yeal
9
2019
Partial regularity in time for the space-homogeneous Landau equation with Coulomb potential. Zbl 1503.35123
Golse, François; Gualdani, Maria Pia; Imbert, Cyril; Vasseur, Alexis
9
2022
The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. Zbl 1291.35169
Bardos, Claude; Golse, François; Paillard, Lionel
9
2012
A remark concerning the Chapman-Enskog asymptotics. Zbl 0863.76071
Desvillettes, L.; Golse, F.
8
1994
Applications of the Boltzmann equation within the context of upper atmosphere vehicle aerodynamics. Zbl 0687.76078
Golse, François
8
1989
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.
8
2007
A hydrodynamic model arising in the context of granular media. Zbl 0946.76096
Benedetto, D.; Caglioti, E.; Golse, F.; Pulvirenti, M.
8
1999
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
8
2006
Fluid dynamic limits of the kinetic theory of gases. Zbl 1319.35155
Golse, François
8
2014
On the boundary layer equations with phase transition in the kinetic theory of gases. Zbl 1472.82011
Bernhoff, Niclas; Golse, François
8
2021
Diffusion approximation of a Knudsen gas model: dependence of the diffusion constant upon the boundary condition. Zbl 1216.76063
Boatto, Stefanella; Golse, François
7
2002
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
7
2008
Multiphase averaging for generalized flows on manifolds. Zbl 0799.58066
Dumas, H. S.; Golse, F.; Lochak, P.
7
1994
The mean-field limit for a regularized Vlasov-Maxwell dynamics. Zbl 1251.82037
Golse, François
7
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
6
1986
Anomalous diffusion limit for the Knudsen gas. Zbl 0974.76073
Golse, François
6
1998
Radiative transfer in a fluid. Zbl 1503.80002
Golse, François; Pironneau, Olivier
1
2023
Radiative transfer for variable three-dimensional atmospheres. Zbl 07649284
Golse, F.; Hecht, F.; Pironneau, O.; Smets, D.; Tournier, P.-H.
1
2023
Partial regularity in time for the space-homogeneous Landau equation with Coulomb potential. Zbl 1503.35123
Golse, François; Gualdani, Maria Pia; Imbert, Cyril; Vasseur, Alexis
9
2022
Optimal transport pseudometrics for quantum and classical densities. Zbl 1485.49053
Golse, François; Paul, Thierry
5
2022
Mean-field and classical limit for the \(N\)-body quantum dynamics with Coulomb interaction. Zbl 1502.81072
Golse, François; Paul, Thierry
5
2022
Stratified radiative transfer in a fluid and numerical applications to Earth science. Zbl 1502.35173
Golse, François; Pironneau, Olivier R.
5
2022
Quantitative observability for the Schrödinger and Heisenberg equations: an optimal transport approach. Zbl 1490.35370
Golse, François; Paul, Thierry
1
2022
On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038
Golse, François; Jin, Shi; Paul, Thierry
12
2021
The random batch method for \(N\)-body quantum dynamics. Zbl 1499.82029
Golse, François; Jin, Shi; Paul, Thierry
9
2021
On the boundary layer equations with phase transition in the kinetic theory of gases. Zbl 1472.82011
Bernhoff, Niclas; Golse, François
8
2021
Semiclassical evolution with low regularity. Zbl 1472.35323
Golse, François; Paul, Thierry
5
2021
Quantum optimal transport is cheaper. Zbl 1448.49045
Caglioti, E.; Golse, F.; Paul, T.
12
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
83
2019
Empirical measures and quantum mechanics: applications to the mean-field limit. Zbl 1417.81127
Golse, François; Paul, Thierry
14
2019
A mean-field limit of the Lohe matrix model and emergent dynamics. Zbl 1425.37046
Golse, François; Ha, Seung-Yeal
9
2019
A formal passage from a system of Boltzmann equations for mixtures towards a Vlasov-Euler system of compressible fluids. Zbl 1417.35085
Desvillettes, Laurent; Golse, François; Ricci, Valeria
3
2019
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
20
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
17
2018
The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241
Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi
15
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
10
2018
Transport and diffusion. (Transport et diffusion.) Zbl 1432.82002
Allaire, Grégoire; Blanc, Xavier; Després, Bruno; Golse, François
5
2018
Linear Boltzmann equation and fractional diffusion. Zbl 1405.35244
Bardos, Claude; Golse, François; Moyano, Ivan
4
2018
The quantum \(N\)-body problem in the mean-field and semiclassical regime. Zbl 1470.82016
Golse, François
3
2018
Quantization of probability distributions and gradient flows in space dimension 2. Zbl 1394.35219
Caglioti, Emanuele; Golse, François; Iacobelli, Mikaela
2
2018
The Schrödinger equation in the mean-field and semiclassical regime. Zbl 1359.35164
Golse, François; Paul, Thierry
40
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
11
2017
From the \(N\)-body Schrödinger equation to the Vlasov equation. Zbl 1390.81148
Golse, François
1
2017
On the mean field and classical limits of quantum mechanics. Zbl 1418.81021
Golse, François; Mouhot, Clément; Paul, Thierry
62
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
11
2016
The Boltzmann equation over \({\mathbb R^{\mathrm D}}\): dispersion versus dissipation. Zbl 1351.35099
Golse, François
1
2016
A gradient flow approach to quantization of measures. Zbl 1327.35197
Caglioti, Emanuele; Golse, François; Iacobelli, Mikaela
6
2015
The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient. Zbl 1328.76061
Bardos, Claude; Bernard, Etienne; Golse, François; Sentis, Rémi
5
2015
Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
3
2015
On the classical limit of the Schrödinger equation. Zbl 1332.35312
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2
2015
The steady Boltzmann and Navier-Stokes equations. Zbl 1321.35129
Aoki, Kazuo; Golse, François; Kosuge, Shingo
2
2015
From Newton to Boltzmann and Einstein: validation of kinetic and diffusion models (after T. Bodineau, I. Gallagher, L. Saint-Raymond, B. Texier). (De Newton à Boltzmann et Einstein: validation des modèles cinétiques et de diffusion (d’après T. Bodineau, I. Gallagher, L. Saint-Raymond, B. Texier).) Zbl 1356.76002
Golse, François
1
2015
Fluid dynamic limits of the kinetic theory of gases. Zbl 1319.35155
Golse, François
8
2014
Derivation of a homogenized two-temperature model from the heat equation. Zbl 1325.35070
Desvillettes, Laurent; Golse, François; Ricci, Valeria
4
2014
Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343
Golse, François; Perthame, Benoît
25
2013
Empirical measures and Vlasov hierarchies. Zbl 1302.82063
Golse, François; Mouhot, Clément; Ricci, Valeria
12
2013
From the Boltzmann equation to the Euler equations in the presence of boundaries. Zbl 1319.76009
Golse, François
5
2013
Recent results on the periodic Lorentz gas. Zbl 1295.35352
Golse, François
10
2012
The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. Zbl 1291.35169
Bardos, Claude; Golse, François; Paillard, Lionel
9
2012
The mean-field limit for a regularized Vlasov-Maxwell dynamics. Zbl 1251.82037
Golse, François
7
2012
Homogenization and kinetic models in extended phase-space. Zbl 1257.82099
Golse, François
1
2012
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François
26
2011
On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas. Zbl 1210.82053
Caglioti, Emanuele; Golse, François
23
2010
Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134
Tsuji, Tetsuro; Aoki, Kazuo; Golse, François
13
2010
Nonlinear regularizing effect for hyperbolic partial differential equations. Zbl 1211.35185
Golse, François
3
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
3
2010
Homogenization of transport problems and semigroups. Zbl 1194.35039
Bernard, Etienne; Golse, François; Salvarani, Francesco
2
2010
The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials. Zbl 1178.35290
Golse, François; Saint-Raymond, Laure
46
2009
Nonlinear regularizing effect for conservation laws. Zbl 1190.35151
Golse, François
4
2009
The mean-field limit for solid particles in a Navier-Stokes flow. Zbl 1154.76018
Desvillettes, Laurent; Golse, François; Ricci, Valeria
41
2008
On the periodic Lorentz gas and the Lorentz kinetic equation. Zbl 1166.82304
Golse, François
19
2008
Analysis of the boundary layer equation in the kinetic theory of gases. Zbl 1142.82360
Golse, François
13
2008
The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions. Zbl 1145.82019
Caglioti, Emanuele; Golse, François
13
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
7
2008
Bursting dynamics of the 3D Euler equations in cylindrical domains. Zbl 1260.76006
Golse, François; Mahalov, Alex; Nicolaenko, Basil
4
2008
Radiative transfer equations and Rosseland approximation in gray matter. Zbl 1183.78012
Golse, F.; Salvarani, F.
3
2008
Rigorous derivation of the cubic NLS in dimension one. Zbl 1118.81021
Adami, Riccardo; Golse, François; Teta, Alessandro
74
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
11
2007
The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem. Zbl 1178.82063
Golse, François; Salvarani, Francesco
11
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.
8
2007
Half-space problems for the Boltzmann equation: a survey. Zbl 1125.82013
Bardos, Claude; Golse, François; Sone, Yoshio
30
2006
The periodic Lorentz gas in the Boltzmann-Grad limit. Zbl 1109.82020
Golse, François
12
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
8
2006
The Boltzmann equation and its hydrodynamic limits. Zbl 1087.35080
Golse, François
32
2005
Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038
Coulombel, Jean-François; Golse, François; Goudon, Thierry
24
2005
Hydrodynamic limits for the Boltzmann equation. Zbl 1109.35112
Golse, François; Saint-Raymond, Laure
15
2005
A quantitative compactness estimate for scalar conservation laws. Zbl 1079.35066
de Lellis, Camillo; Golse, François
10
2005
Hydrodynamic limits. Zbl 1115.82028
Golse, François
9
2005
Hydrodynamic limits of kinetic models. Zbl 1124.82015
Golse, François; Levermore, C. David
4
2005
On the statistics of free-path lengths for the periodic Lorentz gas. Zbl 1221.82081
Golse, François
4
2005
Regularity of Euler equations for a class of three-dimensional initial data. Zbl 1076.35088
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F.
1
2005
The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Zbl 1060.76101
Golse, François; Saint-Raymond, Laure
143
2004
Towards a rigorous derivation of the cubic NLSE in dimension one. Zbl 1069.35082
Adami, Riccardo; Bardos, Claude; Golse, François; Teta, Alessandro
27
2004
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
14
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.
11
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.
6
2004
Hydrodynamic limits of a Vlasov-Fokker-Planck equation for granular media. Zbl 1087.82020
Benedetto, Dario; Caglioti, Emanuele; Golse, François; Pulvirenti, Mario
3
2004
On the derivation of nonlinear Schrödinger and Vlasov equations. Zbl 1145.82300
Bardos, Claude; Golse, François; Gottlieb, Alex; Mauser, Norbert J.
1
2004
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338
Bouchut, François; Golse, François; Pallard, Christophe
1
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.
62
2003
The mean-field limit for the dynamics of large particle systems. Zbl 1211.82037
Golse, François
49
2003
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
44
2003
The Vlasov-Poisson system with strong magnetic field in quasineutral regime. Zbl 1053.82032
Golse, F.; Saint-Raymond, L.
35
2003
On the distribution of free path lengths for the periodic Lorentz gas. III. Zbl 1041.82016
Caglioti, Emanuele; Golse, François
21
2003
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
20
2003
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
14
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
4
2003
Paraxial approximation in a tilted frame for laser wave propagation. Zbl 1046.81104
Sentis, Remi; Doumic, Marie; Golse, François
1
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
59
2002
Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Zbl 1044.76055
Golse, François; Levermore, C. David
36
2002
Velocity averaging in \(L^1\) for the transport equation. Zbl 1154.35326
Golse, François; Saint-Raymond, Laure
34
2002
Diffusion approximation of a Knudsen gas model: dependence of the diffusion constant upon the boundary condition. Zbl 1216.76063
Boatto, Stefanella; Golse, François
7
2002
A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033
Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François
15
2001
A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014
Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François
14
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
13
2001
The Navier-Stokes limit for the Boltzmann equation. Zbl 1056.35134
Golse, François; Saint-Raymond, Laure
10
2001
...and 70 more Documents
all top 5

Cited by 1,627 Authors

73 Golse, François
30 Jin, Shi
28 Saint-Raymond, Laure
27 Wang, Yong
27 Yang, Tong
26 Paul, Thierry
23 Perthame, Benoît
22 Aoki, Kazuo
22 Degond, Pierre
21 Bardos, Claude Williams
21 Goudon, Thierry
21 Schlein, Benjamin
20 Bostan, Mihai
20 Takata, Shigeru
19 Vasseur, Alexis F.
18 Duan, Renjun
18 Han-Kwan, Daniel
18 Jabin, Pierre-Emmanuel
17 Ducomet, Bernard
17 Klar, Axel
17 Masmoudi, Nader
17 Salvarani, Francesco
16 Carrillo de la Plata, José Antonio
16 Jiang, Ning
16 Nečasová, Šárka
16 Pareschi, Lorenzo
16 Pavlović, Nataša
15 Desvillettes, Laurent
15 Li, Qin
15 Mouhot, Clément
15 Zhang, Xianwen
13 Wang, Jian
12 Chen, Thomas
12 Liu, Shuangqian
12 Mokhtar-Kharroubi, Mustapha
12 Yu, Hongjun
12 Zhao, Huijiang
11 Choi, Young-Pil
11 Filbet, Francis
11 Frank, Martin
11 Gallagher, Isabelle
11 Iacobelli, Mikaela
11 Marklof, Jens
11 Mauser, Norbert Julius
11 Schmeiser, Christian
10 Bernhoff, Niclas
10 Chen, Li
10 Dimarco, Giacomo
10 Guo, Yan
10 Huang, Feimin
10 Liu, Jianguo
10 Saffirio, Chiara
10 Strain, Robert M.
10 Taguchi, Satoshi
9 Chen, Xuwen
9 Kim, Chanwoo
9 Lu, Jianfeng
9 Méhats, Florian
9 Pickl, Peter
9 Wang, Yong
9 Yang, Xiongfeng
8 Arsénio, Diogo
8 Besse, Nicolas
8 Dogbé, Christian
8 Ha, Seung-Yeal
8 Höfer, Richard M.
8 Imbert, Cyril
8 Jang, Juhi
8 Levermore, C. David
8 Lions, Pierre-Louis
8 Liu, Tai-Ping
8 Mellet, Antoine
8 Natalini, Roberto
8 Negulescu, Claudia
8 Nguyen, Khai T.
8 Peng, Yuejun
8 Porta, Marcello
8 Tadmor, Eitan
8 Tayeb, Mohamed Lazhar
8 Ukai, Seiji
8 Wang, Li
7 Anceschi, Francesca
7 Arkeryd, Leif O.
7 Bal, Guillaume
7 Benedikter, Niels
7 Bouchut, François
7 Cercignani, Carlo
7 Chen, I-Kun
7 Crouseilles, Nicolas
7 Erdős, László
7 Gosse, Laurent
7 Hervé, Loïc
7 Holmer, Justin
7 Jüngel, Ansgar
7 Kosuge, Shingo
7 Lachowicz, Mirosław
7 Lemou, Mohammed
7 Markowich, Peter Alexander
7 Mischler, Stéphane
7 Nouri, Anne
...and 1,527 more Authors
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Cited in 257 Serials

114 Journal of Statistical Physics
85 Archive for Rational Mechanics and Analysis
72 Journal of Computational Physics
67 Journal of Differential Equations
67 SIAM Journal on Mathematical Analysis
66 Communications in Mathematical Physics
55 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
52 Kinetic and Related Models
43 Journal of Mathematical Physics
43 Journal of Functional Analysis
36 Communications in Partial Differential Equations
35 Journal of Mathematical Analysis and Applications
33 Journal de Mathématiques Pures et Appliquées. Neuvième Série
32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
30 Transport Theory and Statistical Physics
23 Mathematical Methods in the Applied Sciences
22 Physics of Fluids
20 Annales Henri Poincaré
19 Communications on Pure and Applied Mathematics
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
18 Séminaire Laurent Schwartz. EDP et Applications
16 Multiscale Modeling & Simulation
15 Transactions of the American Mathematical Society
14 SIAM Journal on Numerical Analysis
14 Analysis & PDE
13 Applied Mathematics Letters
13 Discrete and Continuous Dynamical Systems
12 Computers & Mathematics with Applications
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 SIAM Journal on Scientific Computing
12 Annals of PDE
11 Nonlinearity
11 Mathematics of Computation
11 Quarterly of Applied Mathematics
11 European Journal of Mechanics. B. Fluids
11 Journal of Nonlinear Mathematical Physics
11 Journal of Hyperbolic Differential Equations
10 Letters in Mathematical Physics
10 SIAM Journal on Applied Mathematics
9 Advances in Mathematics
9 Inventiones Mathematicae
9 Acta Applicandae Mathematicae
9 Physica D
9 Journal of the American Mathematical Society
9 Calculus of Variations and Partial Differential Equations
9 Journal of Pseudo-Differential Operators and Applications
8 Chinese Annals of Mathematics. Series B
8 Asymptotic Analysis
8 Journal of Nonlinear Science
8 Journal of Evolution Equations
8 Discrete and Continuous Dynamical Systems. Series B
7 Computer Methods in Applied Mechanics and Engineering
7 Proceedings of the American Mathematical Society
7 Bulletin of the American Mathematical Society. New Series
7 Oberwolfach Reports
7 Journal de l’École Polytechnique – Mathématiques
7 Journal of Computational and Theoretical Transport
6 Applicable Analysis
6 Journal of Geometry and Physics
6 Journal of Computational and Applied Mathematics
6 Journal of Scientific Computing
6 Stochastic Processes and their Applications
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 Nonlinear Analysis. Real World Applications
6 International Journal of Geometric Methods in Modern Physics
6 Communications in Computational Physics
5 Journal of Fluid Mechanics
5 Indiana University Mathematics Journal
5 Mathematische Annalen
5 Revista Matemática Iberoamericana
5 Mathematical and Computer Modelling
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 Networks and Heterogeneous Media
4 Reviews in Mathematical Physics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Applied Mathematics and Computation
4 Numerical Methods for Partial Differential Equations
4 The Annals of Applied Probability
4 Journal of Mathematical Sciences (New York)
4 NoDEA. Nonlinear Differential Equations and Applications
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Communications in Contemporary Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Journal of Noncommutative Geometry
4 Discrete and Continuous Dynamical Systems. Series S
4 Pure and Applied Analysis
4 Probability and Mathematical Physics
3 Computer Physics Communications
3 Physica A
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Numerische Mathematik
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Acta Mathematicae Applicatae Sinica. English Series
3 The Journal of Geometric Analysis
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
...and 157 more Serials
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Cited in 55 Fields

1,251 Partial differential equations (35-XX)
776 Statistical mechanics, structure of matter (82-XX)
626 Fluid mechanics (76-XX)
202 Quantum theory (81-XX)
198 Numerical analysis (65-XX)
121 Probability theory and stochastic processes (60-XX)
104 Dynamical systems and ergodic theory (37-XX)
90 Global analysis, analysis on manifolds (58-XX)
82 Optics, electromagnetic theory (78-XX)
78 Integral equations (45-XX)
62 Operator theory (47-XX)
58 Functional analysis (46-XX)
53 Biology and other natural sciences (92-XX)
46 Calculus of variations and optimal control; optimization (49-XX)
43 Classical thermodynamics, heat transfer (80-XX)
39 Ordinary differential equations (34-XX)
37 Differential geometry (53-XX)
36 Astronomy and astrophysics (85-XX)
31 Mechanics of particles and systems (70-XX)
28 Mechanics of deformable solids (74-XX)
27 Relativity and gravitational theory (83-XX)
16 Systems theory; control (93-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Real functions (26-XX)
13 Operations research, mathematical programming (90-XX)
12 Measure and integration (28-XX)
11 Approximations and expansions (41-XX)
10 General and overarching topics; collections (00-XX)
9 Computer science (68-XX)
9 Information and communication theory, circuits (94-XX)
8 Integral transforms, operational calculus (44-XX)
7 Number theory (11-XX)
7 Topological groups, Lie groups (22-XX)
7 Geophysics (86-XX)
6 Special functions (33-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Abstract harmonic analysis (43-XX)
5 Statistics (62-XX)
4 Combinatorics (05-XX)
4 Algebraic geometry (14-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 History and biography (01-XX)
3 \(K\)-theory (19-XX)
3 Functions of a complex variable (30-XX)
3 Convex and discrete geometry (52-XX)
3 General topology (54-XX)
3 Manifolds and cell complexes (57-XX)
2 Category theory; homological algebra (18-XX)
2 Difference and functional equations (39-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Mathematics education (97-XX)

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