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Author ID: bouchut.francois Recent zbMATH articles by "Bouchut, François"
Published as: Bouchut, François; Bouchut, F.; Bouchut, Francois; Bouchut, Frančois
Homepage: http://perso-math.univ-mlv.fr/users/bouchut.francois/
Documents Indexed: 98 Publications since 1991, including 2 Books
Co-Authors: 76 Co-Authors with 83 Joint Publications
1,808 Co-Co-Authors
all top 5

Co-Authors

15 single-authored
13 Mangeney, Anne
8 Perthame, Benoît
8 Zeitlin, Vladimir
7 Fernández-Nieto, Enrique Domingo
6 Crippa, Gianluca
6 James, François
5 Berthelin, Florent
5 Narbona-Reina, Gladys
4 Desvillettes, Laurent
4 Eymard, Robert
4 Golse, François
4 Morales de Luna, Tomás
4 Pelanti, Marica
3 Bohun, Anna
3 Klingenberg, Christian
3 Lhébrard, Xavier
3 Pallard, Christophe
3 Waagan, Knut
2 Audusse, Emmanuel
2 Bourdarias, Christian
2 Boyaval, Sébastien
2 Bristeau, Marie-Odile
2 Doyen, David
2 Ern, Alexandre
2 LeSommer, J.
2 Lusso, Christelle
2 Natalini, Roberto
2 Prignet, Alain
2 Vilotte, Jean-Pierre
1 Ambrosio, Luigi
1 Bonami, Aline
1 Bonnaud, Guy
1 Brenier, Yann
1 Bresch, Didier
1 Castro-Díaz, Manuel Jesús
1 Cépa, Emmanuel
1 Chalons, Christophe
1 Cortes, Julien
1 De Lellis, Camillo
1 Delgado Sánchez, Juan M.
1 Dolbeault, Jean
1 Dubos, Thomas
1 Farin, Maxime
1 Feix, Marc Roy
1 Figua, H.
1 Fijalkow, Eric
1 Franck, Emmanuel
1 Frid, Hermano
1 Garres-Díaz, José
1 Guarguaglini, Francesca Romana
1 Guisset, Sebastien
1 Gula, Jonathan
1 Ionescu, Ioan Romeo
1 Jin, Shi
1 Jobic, Yann
1 Klein, Rupert
1 Koné, El Hadji
1 Lagrée, Pierre-Yves
1 Lambaerts, Julien
1 Lapeyre, Guillaume
1 Lépingle, Dominique
1 Li, Xiantao
1 Mancini, Simona
1 Mangeney-Castelnau, Anne
1 Navoret, Laurent
1 Occelli, René
1 Ounaissa, Haythem
1 Pavan, Vincent
1 Pulvirenti, Mario
1 Ribstein, Bruno
1 Ripoll, J. F.
1 Roche, Olivier
1 Sainte-Marie, Jacques
1 Scherer, Emilie
1 Tort, Marine
1 Westdickenberg, Michael
all top 5

Serials

7 Journal of Computational Physics
5 Numerische Mathematik
4 Journal of Fluid Mechanics
4 Journal of Scientific Computing
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Mathematics of Computation
3 Journal of Differential Equations
3 Communications in Partial Differential Equations
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Physics of Fluids
3 Journal of Hyperbolic Differential Equations
2 Archive for Rational Mechanics and Analysis
2 IMA Journal of Numerical Analysis
2 Journal of Statistical Physics
2 Journal of Functional Analysis
2 SIAM Journal on Numerical Analysis
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Revista Matemática Iberoamericana
2 Differential and Integral Equations
2 Séminaire Équations aux Dérivées Partielles
2 Journal of Evolution Equations
2 Communications in Mathematical Sciences
1 Acta Mechanica
1 Computers & Mathematics with Applications
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Indiana University Mathematics Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 Asymptotic Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 SIAM Journal on Scientific Computing
1 Methods and Applications of Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Chaos
1 European Journal of Mechanics. B. Fluids
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Nonlinear Analysis. Theory, Methods & Applications
1 Frontiers in Mathematics
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 2,319 times in 1,486 Documents Cited by Year
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
307
2004
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091
Bouchut, François
261
2004
On zero pressure gas dynamics. Zbl 0863.76068
Bouchut, F.
111
1994
One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130
Bouchut, F.; James, F.
102
1998
Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028
Bouchut, F.
73
1999
Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098
Bouchut, François; James, François
71
1999
Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069
Bouchut, F.; Perthame, B.
63
1998
Hypoelliptic regularity in kinetic equations. Zbl 1045.35093
Bouchut, F.
63
2002
Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059
Bouchut, François
59
1993
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
49
2000
Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080
Bouchut, François; Jin, Shi; Li, Xiantao
48
2003
Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092
Bouchut, F.
42
2003
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
41
2004
Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032
Bouchut, François
41
2001
Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159
Bouchut, F.; Desvillettes, L.
39
1999
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
39
2003
Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053
Bouchut, François
38
1995
On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Zbl 0830.35129
Bouchut, François; Dolbeault, J.
38
1995
A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056
Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre
34
2003
Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076
Bouchut, François; Crippa, Gianluca
32
2013
A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014
Bouchut, François; Desvillettes, Laurent
32
1998
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
32
2008
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
Bouchut, François; Zeitlin, Vladimir
28
2010
A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091
Bouchut, F.; Bourdarias, Ch.; Perthame, B.
27
1996
Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. II: High-resolution numerical simulations. Zbl 1067.76093
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
26
2004
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
26
2008
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
26
2000
Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011
Bouchut, F.; Guarguaglini, F. R.; Natalini, R.
26
2000
A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007
Bouchut, François; Morales de Luna, Tomás
25
2010
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034
Bouchut, François; Klingenberg, Christian; Waagan, Knut
25
2007
A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves. Zbl 1426.76338
Bouchut, François; Klingenberg, Christian; Waagan, Knut
24
2010
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363
James, Francois; Bouchut, Francois; Mancini, Simona
23
2005
Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123
Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît
20
2007
A new Savage-Hutter type model for submarine avalanches and generated tsunami. Zbl 1156.76015
Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A.
20
2008
A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127
Bouchut, François
19
2004
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116
Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo
18
2004
On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042
Bouchut, F.; Desvillettes, L.
18
2001
A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500
Bouchut, François; Perthame, Benoît
18
1993
On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y.
18
2008
Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104
Bouchut, François; Crippa, Gianluca
17
2006
A new model for shallow viscoelastic fluids. Zbl 1383.76031
Bouchut, François; Boyaval, Sébastien
16
2013
An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084
Bouchut, F.
15
2004
Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064
Berthelin, F.; Bouchut, F.
14
2002
Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047
Bouchut, François
14
1991
Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097
Bouchut, François; James, François
12
1999
A two-phase two-layer model for fluidized granular flows with dilatancy effects. Zbl 1445.76087
Bouchut, François; Fernández-Nieto, Enrique D.; Mangeney, Anne; Narbona-Reina, Gladys
12
2016
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
11
2004
Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351
Berthelin, F.; Bouchut, F.
11
2002
Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063
Berthelin, F.; Bouchut, F.
11
2003
Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. II: Active lower layer. Zbl 1225.76132
Gula, J.; Zeitlin, V.; Bouchut, F.
9
2010
A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095
Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique
8
1999
Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118
Bohun, Anna; Bouchut, François; Crippa, Gianluca
8
2016
Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model. Zbl 1308.76180
Bouchut, François; Ribstein, Bruno; Zeitlin, Vladimir
8
2011
Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287
Bohun, Anna; Bouchut, François; Crippa, Gianluca
8
2016
Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023
Berthelin, Florent; Bouchut, François
8
2000
A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers. Zbl 1283.76048
Pelanti, Marica; Bouchut, François; Mangeney, Anne
8
2011
Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130
Bouchut, F.; Morales de Luna, T.
8
2009
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Zbl 1416.65386
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Sainte-Marie, Jacques
7
2016
Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199
Bohun, Anna; Bouchut, François; Crippa, Gianluca
7
2016
Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243
Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent
7
2018
Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066
Bouchut, François; Frid, Hermano
6
2006
Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection. Zbl 1183.76106
Bouchut, François; Lambaerts, Julien; Lapeyre, Guillaume; Zeitlin, Vladimir
6
2009
Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002
Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P.
6
2008
Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
6
2005
A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130
Bouchut, François; Lhébrard, Xavier
6
2016
An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Zbl 1361.35140
Bouchut, François; Ionescu, Ioan R.; Mangeney, Anne
6
2016
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117
Bouchut, F.; Eymard, R.; Prignet, A.
5
2011
One-dimensional transport equations with discontinuous coefficients. (Équations de transport unidimensionnelles à coefficients discontinus.) Zbl 0829.35139
Bouchut, François; James, François
5
1995
An example of MUSCL method satisfying all the numerical entropy inequalities. (Un exemple de méthode MUSCL satisfaisant toutes les inégalités d’entropie numériques.) Zbl 0779.65061
Bouchut, François; Bourdarias, Christian; Perthame, Benoît
5
1993
Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. Zbl 1309.86004
Tort, Marine; Dubos, Thomas; Bouchut, François; Zeitlin, Vladimir
4
2014
A two-phase shallow debris flow model with energy balance. Zbl 1310.76172
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
4
2015
Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Zbl 1375.74020
Lusso, Christelle; Ern, Alexandre; Bouchut, François; Mangeney, Anne; Farin, Maxime; Roche, Olivier
4
2017
Transport equations with a coefficient having a gradient given by a singular integral. (Équations de transport à coefficient dont le gradient est donné par une intégrale singulière.) Zbl 1185.35034
Bouchut, François; Crippa, Gianluca
4
2008
Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020
Bouchut, François; Boyaval, Sébastien
4
2016
Nonlinear adjustment of a front over escarpment. Zbl 1182.76075
Bouchut, F.; Scherer, E.; Zeitlin, V.
3
2008
Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114
Berthelin, F.; Bouchut, F.
3
2002
A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078
Bouchut, François; Franck, Emmanuel; Navoret, Laurent
3
2020
A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160
Bouchut, François; Lhébrard, Xavier
3
2017
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012
Bouchut, F.; Eymard, R.; Prignet, A.
2
2014
An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046
Bouchut, Francois
2
2005
Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010
Bouchut, F.; Bonnaud, G.
2
1996
An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows. Zbl 1434.76098
Bouchut, François; Chalons, Christophe; Guisset, Sébastien
2
2020
A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166
Pelanti, Marica; Bouchut, François
1
2009
Convection and total variation flow. Zbl 1302.65202
Bouchut, François; Doyen, David; Eymard, Robert
1
2014
Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035
Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E.
1
2000
Existence de solutions régulières globales pour le système de Vlasov-Poisson-Fokker-Planck en dimension trois. (Existence of global regular solutions for the Vlasov-Poisson-Fokker-Planck system in three dimensions). Zbl 0743.35083
Bouchut, François
1
1991
Duality solutions for pressureless gases. (Solutions en dualité pour les gaz sans pression.) Zbl 0911.35092
Bouchut, François; James, François
1
1998
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338
Bouchut, François; Golse, François; Pallard, Christophe
1
2004
Stability of relaxation models for conservation laws. Zbl 1079.35016
Bouchut, François
1
2005
A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078
Bouchut, François; Franck, Emmanuel; Navoret, Laurent
3
2020
An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows. Zbl 1434.76098
Bouchut, François; Chalons, Christophe; Guisset, Sébastien
2
2020
Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243
Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent
7
2018
Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Zbl 1375.74020
Lusso, Christelle; Ern, Alexandre; Bouchut, François; Mangeney, Anne; Farin, Maxime; Roche, Olivier
4
2017
A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160
Bouchut, François; Lhébrard, Xavier
3
2017
A two-phase two-layer model for fluidized granular flows with dilatancy effects. Zbl 1445.76087
Bouchut, François; Fernández-Nieto, Enrique D.; Mangeney, Anne; Narbona-Reina, Gladys
12
2016
Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118
Bohun, Anna; Bouchut, François; Crippa, Gianluca
8
2016
Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287
Bohun, Anna; Bouchut, François; Crippa, Gianluca
8
2016
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Zbl 1416.65386
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Sainte-Marie, Jacques
7
2016
Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199
Bohun, Anna; Bouchut, François; Crippa, Gianluca
7
2016
A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130
Bouchut, François; Lhébrard, Xavier
6
2016
An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Zbl 1361.35140
Bouchut, François; Ionescu, Ioan R.; Mangeney, Anne
6
2016
Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020
Bouchut, François; Boyaval, Sébastien
4
2016
A two-phase shallow debris flow model with energy balance. Zbl 1310.76172
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
4
2015
Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. Zbl 1309.86004
Tort, Marine; Dubos, Thomas; Bouchut, François; Zeitlin, Vladimir
4
2014
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012
Bouchut, F.; Eymard, R.; Prignet, A.
2
2014
Convection and total variation flow. Zbl 1302.65202
Bouchut, François; Doyen, David; Eymard, Robert
1
2014
Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076
Bouchut, François; Crippa, Gianluca
32
2013
A new model for shallow viscoelastic fluids. Zbl 1383.76031
Bouchut, François; Boyaval, Sébastien
16
2013
Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model. Zbl 1308.76180
Bouchut, François; Ribstein, Bruno; Zeitlin, Vladimir
8
2011
A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers. Zbl 1283.76048
Pelanti, Marica; Bouchut, François; Mangeney, Anne
8
2011
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117
Bouchut, F.; Eymard, R.; Prignet, A.
5
2011
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
Bouchut, François; Zeitlin, Vladimir
28
2010
A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007
Bouchut, François; Morales de Luna, Tomás
25
2010
A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves. Zbl 1426.76338
Bouchut, François; Klingenberg, Christian; Waagan, Knut
24
2010
Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. II: Active lower layer. Zbl 1225.76132
Gula, J.; Zeitlin, V.; Bouchut, F.
9
2010
Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130
Bouchut, F.; Morales de Luna, T.
8
2009
Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection. Zbl 1183.76106
Bouchut, François; Lambaerts, Julien; Lapeyre, Guillaume; Zeitlin, Vladimir
6
2009
A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166
Pelanti, Marica; Bouchut, François
1
2009
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
32
2008
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
26
2008
A new Savage-Hutter type model for submarine avalanches and generated tsunami. Zbl 1156.76015
Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A.
20
2008
On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y.
18
2008
Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002
Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P.
6
2008
Transport equations with a coefficient having a gradient given by a singular integral. (Équations de transport à coefficient dont le gradient est donné par une intégrale singulière.) Zbl 1185.35034
Bouchut, François; Crippa, Gianluca
4
2008
Nonlinear adjustment of a front over escarpment. Zbl 1182.76075
Bouchut, F.; Scherer, E.; Zeitlin, V.
3
2008
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034
Bouchut, François; Klingenberg, Christian; Waagan, Knut
25
2007
Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123
Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît
20
2007
Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104
Bouchut, François; Crippa, Gianluca
17
2006
Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066
Bouchut, François; Frid, Hermano
6
2006
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363
James, Francois; Bouchut, Francois; Mancini, Simona
23
2005
Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
6
2005
An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046
Bouchut, Francois
2
2005
Stability of relaxation models for conservation laws. Zbl 1079.35016
Bouchut, François
1
2005
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
307
2004
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091
Bouchut, François
261
2004
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
41
2004
Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. II: High-resolution numerical simulations. Zbl 1067.76093
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
26
2004
A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127
Bouchut, François
19
2004
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116
Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo
18
2004
An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084
Bouchut, F.
15
2004
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
11
2004
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338
Bouchut, François; Golse, François; Pallard, Christophe
1
2004
Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080
Bouchut, François; Jin, Shi; Li, Xiantao
48
2003
Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092
Bouchut, F.
42
2003
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
39
2003
A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056
Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre
34
2003
Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063
Berthelin, F.; Bouchut, F.
11
2003
Hypoelliptic regularity in kinetic equations. Zbl 1045.35093
Bouchut, F.
63
2002
Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064
Berthelin, F.; Bouchut, F.
14
2002
Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351
Berthelin, F.; Bouchut, F.
11
2002
Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114
Berthelin, F.; Bouchut, F.
3
2002
Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032
Bouchut, François
41
2001
On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042
Bouchut, F.; Desvillettes, L.
18
2001
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
49
2000
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
26
2000
Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011
Bouchut, F.; Guarguaglini, F. R.; Natalini, R.
26
2000
Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023
Berthelin, Florent; Bouchut, François
8
2000
Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035
Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E.
1
2000
Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028
Bouchut, F.
73
1999
Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098
Bouchut, François; James, François
71
1999
Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159
Bouchut, F.; Desvillettes, L.
39
1999
Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097
Bouchut, François; James, François
12
1999
A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095
Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique
8
1999
One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130
Bouchut, F.; James, F.
102
1998
Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069
Bouchut, F.; Perthame, B.
63
1998
A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014
Bouchut, François; Desvillettes, Laurent
32
1998
Duality solutions for pressureless gases. (Solutions en dualité pour les gaz sans pression.) Zbl 0911.35092
Bouchut, François; James, François
1
1998
A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091
Bouchut, F.; Bourdarias, Ch.; Perthame, B.
27
1996
Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010
Bouchut, F.; Bonnaud, G.
2
1996
Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053
Bouchut, François
38
1995
On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Zbl 0830.35129
Bouchut, François; Dolbeault, J.
38
1995
One-dimensional transport equations with discontinuous coefficients. (Équations de transport unidimensionnelles à coefficients discontinus.) Zbl 0829.35139
Bouchut, François; James, François
5
1995
On zero pressure gas dynamics. Zbl 0863.76068
Bouchut, F.
111
1994
Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059
Bouchut, François
59
1993
A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500
Bouchut, François; Perthame, Benoît
18
1993
An example of MUSCL method satisfying all the numerical entropy inequalities. (Un exemple de méthode MUSCL satisfaisant toutes les inégalités d’entropie numériques.) Zbl 0779.65061
Bouchut, François; Bourdarias, Christian; Perthame, Benoît
5
1993
Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047
Bouchut, François
14
1991
Existence de solutions régulières globales pour le système de Vlasov-Poisson-Fokker-Planck en dimension trois. (Existence of global regular solutions for the Vlasov-Poisson-Fokker-Planck system in three dimensions). Zbl 0743.35083
Bouchut, François
1
1991
all top 5

Cited by 1,628 Authors

46 Bouchut, François
28 Berthon, Christophe
24 Parés Madroñal, Carlos
23 Kurganov, Alexander
21 Chalons, Christophe
21 Crippa, Gianluca
20 Perthame, Benoît
19 Jabin, Pierre-Emmanuel
18 Castro, Manuel J.
18 Fernández-Nieto, Enrique Domingo
18 Zeitlin, Vladimir
17 Gosse, Laurent
17 Mai Duc Thanh
17 Mangeney, Anne
16 Dumbser, Michael
15 Xing, Yulong
15 Yang, Hanchun
14 Berthelin, Florent
14 Coquel, Frédéric
14 James, François
14 Shu, Chi-Wang
13 Goudon, Thierry
13 LeFloch, Philippe Gerard
13 Sainte-Marie, Jacques
13 Vauchelet, Nicolas
12 Klingenberg, Christian
12 Li, Gang
12 Marche, Fabien
12 Morales de Luna, Tomás
11 Audusse, Emmanuel
11 Castro-Díaz, Manuel Jesús
11 Chertock, Alina E.
11 Karlsen, Kenneth Hvistendahl
11 Natalini, Roberto
11 Popov, Boyan
11 Seaïd, Mohammed
11 Shen, Chun
10 Benkhaldoun, Fayssal
10 Bristeau, Marie-Odile
10 Carrillo de la Plata, José Antonio
10 Godlewski, Edwige
10 Jin, Shi
10 Zuazua, Enrique
9 Ambrosio, Luigi
9 Brull, Stephane
9 Degond, Pierre
9 Hérard, Jean-Marc
9 Seguin, Nicolas
8 Bianchini, Stefano
8 Cheng, Hongjun
8 Dubroca, Bruno
8 Fox, Rodney O.
8 Golse, François
8 Helluy, Philippe
8 Herty, Michael Matthias
8 Hwang, Hyung Ju
8 Liang, Qiuhua
8 Massot, Marc
8 Navoret, Laurent
8 Noelle, Sebastian
8 Risebro, Nils Henrik
8 Sun, Meina
8 Yang, Tong
7 Alonso, Ricardo J.
7 Chandrashekar, Praveen
7 Chen, Gui-Qiang G.
7 Cuong, Dao Huy
7 Delestre, Olivier
7 Foucher, Françoise
7 Guermond, Jean-Luc
7 Han-Kwan, Daniel
7 Kesserwani, Georges
7 Lagoutière, Frédéric
7 Lagrée, Pierre-Yves
7 Lannes, David
7 Li, Weixi
7 Lukáčová-Medvid’ová, Mária
7 Mishra, Siddhartha
7 Morimoto, Yoshinori
7 Narbona-Reina, Gladys
7 Soler, Juan S.
7 Spirito, Stefano
7 Turpault, Rodolphe
7 Vasseur, Alexis F.
7 Xu, Chao-Jiang
6 Alexandre, Radjesvarane
6 Aregba-Driollet, Denise
6 Bostan, Mihai
6 Bresch, Didier
6 Bürger, Raimund
6 Colombo, Rinaldo M.
6 Després, Bruno
6 Duran, Arnaud
6 Dutykh, Denys
6 Edwards, Andrew N.
6 Figalli, Alessio
6 Goatin, Paola
6 Gray, John Mark Nicholas Timm
6 Gwiazda, Piotr
6 Hauray, Maxime
...and 1,528 more Authors
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Cited in 214 Serials

148 Journal of Computational Physics
72 Computers and Fluids
64 Journal of Differential Equations
60 Journal of Scientific Computing
41 Archive for Rational Mechanics and Analysis
38 Journal of Fluid Mechanics
36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
34 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
32 Mathematics of Computation
29 Communications in Partial Differential Equations
26 Journal of Mathematical Analysis and Applications
23 Journal of Statistical Physics
23 Numerische Mathematik
23 Kinetic and Related Models
22 Applied Mathematics and Computation
22 Journal de Mathématiques Pures et Appliquées. Neuvième Série
21 SIAM Journal on Mathematical Analysis
19 Communications in Computational Physics
18 SIAM Journal on Numerical Analysis
18 Journal of Hyperbolic Differential Equations
17 SIAM Journal on Scientific Computing
17 European Journal of Mechanics. B. Fluids
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Communications in Mathematical Physics
15 Computers & Mathematics with Applications
15 International Journal for Numerical Methods in Fluids
14 Journal of Mathematical Physics
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Computer Methods in Applied Mechanics and Engineering
13 Journal of Functional Analysis
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Networks and Heterogeneous Media
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Journal of Computational and Applied Mathematics
12 Applied Numerical Mathematics
12 Applied Mathematical Modelling
11 Applied Mathematics Letters
11 Physics of Fluids
10 Multiscale Modeling & Simulation
9 Acta Applicandae Mathematicae
9 Numerical Methods for Partial Differential Equations
8 Quarterly of Applied Mathematics
8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
8 Nonlinear Analysis. Real World Applications
8 Journal of Evolution Equations
8 Bulletin of the Brazilian Mathematical Society. New Series
7 Mathematical Methods in the Applied Sciences
7 Nonlinearity
7 Chinese Annals of Mathematics. Series B
7 Advances in Computational Mathematics
7 Discrete and Continuous Dynamical Systems
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
6 Calcolo
6 Physica D
6 SIAM Journal on Applied Mathematics
6 Continuum Mechanics and Thermodynamics
6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
6 Science China. Mathematics
5 Acta Mechanica
5 Journal of Engineering Mathematics
5 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 Revista Matemática Iberoamericana
5 Calculus of Variations and Partial Differential Equations
5 NoDEA. Nonlinear Differential Equations and Applications
5 Computational Geosciences
5 Analysis and Applications (Singapore)
5 Acta Numerica
5 Advances in Mathematical Physics
5 Advances in Applied Mathematics and Mechanics
5 Séminaire Laurent Schwartz. EDP et Applications
4 Communications on Pure and Applied Mathematics
4 Geophysical and Astrophysical Fluid Dynamics
4 Mathematics and Computers in Simulation
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Mathematical Problems in Engineering
4 Matematicheskoe Modelirovanie
4 Discrete and Continuous Dynamical Systems. Series B
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Analysis & PDE
4 Nonlinear Analysis. Theory, Methods & Applications
4 SMAI Journal of Computational Mathematics
3 Inventiones Mathematicae
3 Mathematische Nachrichten
3 Systems & Control Letters
3 Journal of Nonlinear Science
3 Computational Optimization and Applications
3 Journal of Mathematical Sciences (New York)
3 Bulletin des Sciences Mathématiques
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Flow, Turbulence and Combustion
3 Foundations of Computational Mathematics
3 Journal of Numerical Mathematics
3 Communications on Pure and Applied Analysis
3 Annals of PDE
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Notes
2 Transport Theory and Statistical Physics
2 Acta Mathematica Vietnamica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
...and 114 more Serials
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Cited in 38 Fields

957 Partial differential equations (35-XX)
841 Fluid mechanics (76-XX)
553 Numerical analysis (65-XX)
222 Statistical mechanics, structure of matter (82-XX)
112 Geophysics (86-XX)
61 Probability theory and stochastic processes (60-XX)
44 Biology and other natural sciences (92-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
41 Mechanics of deformable solids (74-XX)
29 Optics, electromagnetic theory (78-XX)
28 Ordinary differential equations (34-XX)
27 Operations research, mathematical programming (90-XX)
25 Astronomy and astrophysics (85-XX)
21 Dynamical systems and ergodic theory (37-XX)
20 Functional analysis (46-XX)
18 Mechanics of particles and systems (70-XX)
17 Integral equations (45-XX)
14 Operator theory (47-XX)
14 Quantum theory (81-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Classical thermodynamics, heat transfer (80-XX)
12 Relativity and gravitational theory (83-XX)
11 Real functions (26-XX)
9 Measure and integration (28-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Systems theory; control (93-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Computer science (68-XX)
3 Functions of a complex variable (30-XX)
3 Approximations and expansions (41-XX)
3 Statistics (62-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

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