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## Bouchut, François

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 Author ID: bouchut.francois Published as: Bouchut, F.; Bouchut, Francois; Bouchut, François; Bouchut, Frančois Homepage: http://perso-math.univ-mlv.fr/users/bouchut.francois/
 Documents Indexed: 95 Publications since 1991, including 2 Books
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#### Co-Authors

 15 single-authored 10 Mangeney, Anne 8 Zeitlin, Vladimir 7 Perthame, Benoît 6 Crippa, Gianluca 6 James, François 5 Berthelin, Florent 5 Fernández-Nieto, Enrique Domingo 4 Eymard, Robert 4 Golse, François 4 Morales de Luna, Tomás 4 Pelanti, Marica 3 Bohun, Anna 3 Desvillettes, Laurent 3 Klingenberg, Christian 3 Lhébrard, Xavier 3 Narbona-Reina, Gladys 3 Pallard, Christophe 3 Waagan, Knut 2 Audusse, Emmanuel 2 Bourdarias, Christian 2 Boyaval, Sébastien 2 Bristeau, Marie-Odile 2 Doyen, David 2 LeSommer, J. 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 Ern, Alexandre 1 Farin, Maxime 1 Feix, Marc Roy 1 Figua, H. 1 Fijalkow, Eric 1 Franck, Emmanuel 1 Frid, Hermano 1 Guarguaglini, Francesca Romana 1 Guisset, Sebastien 1 Gula, J. 1 Ionescu, Ioan Romeo 1 Jin, Shi 1 Jobic, Yann 1 Klein, Rupert 1 Lagrée, Pierre-Yves 1 Lambaerts, Julien 1 Lapeyre, Guillaume 1 Lépingle, Dominique 1 Li, Xiantao 1 Lusso, Christelle 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
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#### Serials

 5 Journal of Computational Physics 5 Numerische Mathematik 4 Journal of Fluid Mechanics 4 Journal of Scientific Computing 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 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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
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#### Fields

 63 Partial differential equations (35-XX) 59 Fluid mechanics (76-XX) 31 Numerical analysis (65-XX) 20 Statistical mechanics, structure of matter (82-XX) 12 Geophysics (86-XX) 4 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

87 Publications have been cited 2,118 times in 1,344 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
2004
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091
Bouchut, François
2004
On zero pressure gas dynamics. Zbl 0863.76068
Bouchut, F.
1994
One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130
Bouchut, F.; James, F.
1998
Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098
Bouchut, François; James, François
1999
Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028
Bouchut, F.
1999
Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069
Bouchut, F.; Perthame, B.
1998
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
2000
Hypoelliptic regularity in kinetic equations. Zbl 1045.35093
Bouchut, F.
2002
Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059
Bouchut, François
1993
Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080
Bouchut, François; Jin, Shi; Li, Xiantao
2003
Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032
Bouchut, François
2001
Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092
Bouchut, F.
2003
Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159
Bouchut, F.; Desvillettes, L.
1999
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
2003
Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053
Bouchut, François
1995
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
2004
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.
1995
A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014
Bouchut, François; Desvillettes, Laurent
1998
Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076
Bouchut, François; Crippa, Gianluca
2013
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
2003
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
2008
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.
2004
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
2010
Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011
Bouchut, F.; Guarguaglini, F. R.; Natalini, R.
2000
A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091
Bouchut, F.; Bourdarias, Ch.; Perthame, B.
1996
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034
Bouchut, François; Klingenberg, Christian; Waagan, Knut
2007
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
2000
A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007
Bouchut, François; Morales de Luna, Tomás
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
2010
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
2008
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363
James, Francois; Bouchut, Francois; Mancini, Simona
2005
Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123
Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît
2007
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
2004
On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042
Bouchut, F.; Desvillettes, L.
2001
A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500
Bouchut, François; Perthame, Benoît
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.
2008
Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104
Bouchut, François; Crippa, Gianluca
2006
A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127
Bouchut, François
2004
An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084
Bouchut, F.
2004
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.
2008
Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064
Berthelin, F.; Bouchut, F.
2002
A new model for shallow viscoelastic fluids. Zbl 1383.76031
Bouchut, François; Boyaval, Sébastien
2013
Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097
Bouchut, François; James, François
1999
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
2004
Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063
Berthelin, F.; Bouchut, F.
2003
Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351
Berthelin, F.; Bouchut, F.
2002
Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047
Bouchut, François
1991
Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118
Bohun, Anna; Bouchut, François; Crippa, Gianluca
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
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
2011
Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023
Berthelin, Florent; Bouchut, François
2000
A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095
Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique
1999
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
2016
Lagrangian solutions to the Vlasov-Poisson system with $$L^1$$ density. Zbl 1333.35287
Bohun, Anna; Bouchut, François; Crippa, Gianluca
2016
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.
2010
Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130
Bouchut, F.; Morales de Luna, T.
2009
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
2018
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
2016
Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002
Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P.
2008
Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066
Bouchut, François; Frid, Hermano
2006
Lagrangian solutions to the 2D Euler system with $$L^1$$ vorticity and infinite energy. Zbl 1382.35199
Bohun, Anna; Bouchut, François; Crippa, Gianluca
2016
Transport equations with a coefficient having a gradient given by a singular integral. Zbl 1185.35034
Bouchut, François; Crippa, Gianluca
2008
One-dimensional transport equations with discontinuous coefficients. Zbl 0829.35139
Bouchut, François; James, François
1995
An example of MUSCL method satisfying all the numerical entropy inequalities. Zbl 0779.65061
Bouchut, François; Bourdarias, Christian; Perthame, Benoît
1993
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
2017
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
2016
A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130
Bouchut, François; Lhébrard, Xavier
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.
2015
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117
Bouchut, F.; Eymard, R.; Prignet, A.
2011
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
2009
An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046
Bouchut, Francois
2005
Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
2005
Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020
Bouchut, François; Boyaval, Sébastien
2016
Nonlinear adjustment of a front over escarpment. Zbl 1182.76075
Bouchut, F.; Scherer, E.; Zeitlin, V.
2008
Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114
Berthelin, F.; Bouchut, F.
2002
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
2014
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012
Bouchut, F.; Eymard, R.; Prignet, A.
2014
Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010
Bouchut, F.; Bonnaud, G.
1996
A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078
Bouchut, François; Franck, Emmanuel; Navoret, Laurent
2020
A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160
Bouchut, François; Lhébrard, Xavier
2017
Convection and total variation flow. Zbl 1302.65202
Bouchut, François; Doyen, David; Eymard, Robert
2014
A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166
Pelanti, Marica; Bouchut, François
2009
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338
Bouchut, François; Golse, François; Pallard, Christophe
2004
Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035
Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E.
2000
Duality solutions for pressureless gases. Zbl 0911.35092
Bouchut, François; James, François
1998
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
1991
A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078
Bouchut, François; Franck, Emmanuel; Navoret, Laurent
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
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
2017
A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160
Bouchut, François; Lhébrard, Xavier
2017
Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118
Bohun, Anna; Bouchut, François; Crippa, Gianluca
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
2016
Lagrangian solutions to the Vlasov-Poisson system with $$L^1$$ density. Zbl 1333.35287
Bohun, Anna; Bouchut, François; Crippa, Gianluca
2016
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
2016
Lagrangian solutions to the 2D Euler system with $$L^1$$ vorticity and infinite energy. Zbl 1382.35199
Bohun, Anna; Bouchut, François; Crippa, Gianluca
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
2016
A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130
Bouchut, François; Lhébrard, Xavier
2016
Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020
Bouchut, François; Boyaval, Sébastien
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.
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
2014
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012
Bouchut, F.; Eymard, R.; Prignet, A.
2014
Convection and total variation flow. Zbl 1302.65202
Bouchut, François; Doyen, David; Eymard, Robert
2014
Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076
Bouchut, François; Crippa, Gianluca
2013
A new model for shallow viscoelastic fluids. Zbl 1383.76031
Bouchut, François; Boyaval, Sébastien
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
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
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.
2011
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
2010
A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007
Bouchut, François; Morales de Luna, Tomás
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
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.
2010
Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130
Bouchut, F.; Morales de Luna, T.
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
2009
A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166
Pelanti, Marica; Bouchut, François
2009
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
2008
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
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.
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.
2008
Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002
Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P.
2008
Transport equations with a coefficient having a gradient given by a singular integral. Zbl 1185.35034
Bouchut, François; Crippa, Gianluca
2008
Nonlinear adjustment of a front over escarpment. Zbl 1182.76075
Bouchut, F.; Scherer, E.; Zeitlin, V.
2008
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034
Bouchut, François; Klingenberg, Christian; Waagan, Knut
2007
Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123
Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît
2007
Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104
Bouchut, François; Crippa, Gianluca
2006
Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066
Bouchut, François; Frid, Hermano
2006
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363
James, Francois; Bouchut, Francois; Mancini, Simona
2005
An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046
Bouchut, Francois
2005
Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
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
2004
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091
Bouchut, François
2004
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
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.
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
2004
A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127
Bouchut, François
2004
An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084
Bouchut, F.
2004
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
2004
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338
Bouchut, François; Golse, François; Pallard, Christophe
2004
Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080
Bouchut, François; Jin, Shi; Li, Xiantao
2003
Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092
Bouchut, F.
2003
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
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
2003
Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063
Berthelin, F.; Bouchut, F.
2003
Hypoelliptic regularity in kinetic equations. Zbl 1045.35093
Bouchut, F.
2002
Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064
Berthelin, F.; Bouchut, F.
2002
Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351
Berthelin, F.; Bouchut, F.
2002
Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114
Berthelin, F.; Bouchut, F.
2002
Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032
Bouchut, François
2001
On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042
Bouchut, F.; Desvillettes, L.
2001
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
2000
Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011
Bouchut, F.; Guarguaglini, F. R.; Natalini, R.
2000
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
2000
Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023
Berthelin, Florent; Bouchut, François
2000
Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035
Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E.
2000
Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098
Bouchut, François; James, François
1999
Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028
Bouchut, F.
1999
Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159
Bouchut, F.; Desvillettes, L.
1999
Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097
Bouchut, François; James, François
1999
A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095
Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique
1999
One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130
Bouchut, F.; James, F.
1998
Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069
Bouchut, F.; Perthame, B.
1998
A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014
Bouchut, François; Desvillettes, Laurent
1998
Duality solutions for pressureless gases. Zbl 0911.35092
Bouchut, François; James, François
1998
A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091
Bouchut, F.; Bourdarias, Ch.; Perthame, B.
1996
Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010
Bouchut, F.; Bonnaud, G.
1996
Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053
Bouchut, François
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.
1995
One-dimensional transport equations with discontinuous coefficients. Zbl 0829.35139
Bouchut, François; James, François
1995
On zero pressure gas dynamics. Zbl 0863.76068
Bouchut, F.
1994
Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059
Bouchut, François
1993
A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500
Bouchut, François; Perthame, Benoît
1993
An example of MUSCL method satisfying all the numerical entropy inequalities. Zbl 0779.65061
Bouchut, François; Bourdarias, Christian; Perthame, Benoît
1993
Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047
Bouchut, François
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
1991
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#### Cited by 1,533 Authors

 44 Bouchut, François 26 Berthon, Christophe 22 Parés Madroñal, Carlos 21 Chalons, Christophe 20 Crippa, Gianluca 20 Kurganov, Alexander 19 Perthame, Benoît 17 Castro, Manuel J. 17 Gosse, Laurent 17 Jabin, Pierre-Emmanuel 17 Mai Duc Thanh 15 Yang, Hanchun 14 Berthelin, Florent 14 Coquel, Frédéric 14 James, François 14 Shu, Chi-Wang 14 Zeitlin, Vladimir 13 Dumbser, Michael 13 Fernández-Nieto, Enrique Domingo 13 Jin, Shi 13 Mangeney, Anne 13 Vauchelet, Nicolas 13 Xing, Yulong 12 Goudon, Thierry 11 Karlsen, Kenneth Hvistendahl 11 LeFloch, Philippe Gerard 11 Marche, Fabien 11 Natalini, Roberto 11 Popov, Boyan 10 Audusse, Emmanuel 10 Carrillo de la Plata, José Antonio 10 Castro-Díaz, Manuel Jesús 10 Chertock, Alina E. 10 Golse, François 10 Hérard, Jean-Marc 10 Li, Gang 10 Sainte-Marie, Jacques 10 Zuazua, Enrique 9 Ambrosio, Luigi 9 Bristeau, Marie-Odile 9 Degond, Pierre 9 Godlewski, Edwige 9 Klingenberg, Christian 9 Morales de Luna, Tomás 9 Shen, Chun 9 Yang, Tong 8 Benkhaldoun, Fayssal 8 Cheng, Hongjun 8 Fox, Rodney O. 8 Liang, Qiuhua 8 Massot, Marc 8 Risebro, Nils Henrik 8 Seaïd, Mohammed 8 Seguin, Nicolas 7 Alonso, Ricardo J. 7 Bianchini, Stefano 7 Chen, Gui-Qiang G. 7 Delestre, Olivier 7 Guermond, Jean-Luc 7 Helluy, Philippe 7 Herty, Michael Matthias 7 Hwang, Hyung Ju 7 Kesserwani, Georges 7 Lagoutière, Frédéric 7 Lagrée, Pierre-Yves 7 Lannes, David 7 Laurent, Frédérique 7 Mishra, Siddhartha 7 Morimoto, Yoshinori 7 Navoret, Laurent 7 Noelle, Sebastian 7 Saint-Raymond, Laure 7 Soler, Juan S. 7 Spirito, Stefano 7 Sun, Meina 7 Vasseur, Alexis F. 7 Xu, Chao-Jiang 6 Alexandre, Radjesvarane 6 Bostan, Mihai 6 Bürger, Raimund 6 Cuong, Dao Huy 6 Després, Bruno 6 Duran, Arnaud 6 Edwards, Andrew N. 6 Figalli, Alessio 6 Foucher, Françoise 6 Goatin, Paola 6 Gwiazda, Piotr 6 Han-Kwan, Daniel 6 Hauray, Maxime 6 Hérau, Frédéric 6 LeVeque, Randall J. 6 Li, Weixi 6 Lu, Xuguang 6 Lukáčová-Medvid’ová, Mária 6 Narbona-Reina, Gladys 6 Pareschi, Lorenzo 6 Pelanti, Marica 6 Touma, Rony 6 Turpault, Rodolphe ...and 1,433 more Authors
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#### Cited in 194 Serials

 139 Journal of Computational Physics 63 Computers and Fluids 63 Journal of Differential Equations 50 Journal of Scientific Computing 41 Archive for Rational Mechanics and Analysis 33 Journal of Fluid Mechanics 33 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 32 Mathematics of Computation 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 Communications in Partial Differential Equations 26 Journal of Mathematical Analysis and Applications 23 Numerische Mathematik 22 Journal of Statistical Physics 21 Applied Mathematics and Computation 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Journal of Hyperbolic Differential Equations 18 Kinetic and Related Models 17 SIAM Journal on Numerical Analysis 17 SIAM Journal on Mathematical Analysis 16 Communications in Mathematical Physics 15 International Journal for Numerical Methods in Fluids 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 SIAM Journal on Scientific Computing 15 European Journal of Mechanics. B. Fluids 14 Computers & Mathematics with Applications 14 Journal of Mathematical Physics 13 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational and Applied Mathematics 13 Journal of Functional Analysis 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Networks and Heterogeneous Media 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Applied Mathematics Letters 11 Physics of Fluids 10 Applied Numerical Mathematics 10 Applied Mathematical Modelling 10 Multiscale Modeling & Simulation 9 Numerical Methods for Partial Differential Equations 9 Nonlinear Analysis. Real World Applications 8 Quarterly of Applied Mathematics 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Bulletin of the Brazilian Mathematical Society. New Series 7 Mathematical Methods in the Applied Sciences 7 Chinese Annals of Mathematics. Series B 7 Acta Applicandae Mathematicae 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 6 Physica D 6 SIAM Journal on Applied Mathematics 6 Continuum Mechanics and Thermodynamics 6 Discrete and Continuous Dynamical Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 6 Journal of Evolution Equations 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 Advances in Computational Mathematics 5 Computational Geosciences 5 Analysis and Applications (Singapore) 5 Acta Numerica 5 Advances in Mathematical Physics 5 Science China. Mathematics 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Mathematics and Computers in Simulation 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Bulletin des Sciences Mathématiques 4 Mathematical Problems in Engineering 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 Mathematical Sciences (New York) 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Flow, Turbulence and Combustion 3 Matematicheskoe Modelirovanie 3 Foundations of Computational Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Numerical Mathematics 3 Communications on Pure and Applied Analysis 3 Séminaire Laurent Schwartz. EDP et Applications 2 Mathematical Notes 2 Transport Theory and Statistical Physics 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Calcolo 2 Duke Mathematical Journal 2 International Journal for Numerical Methods in Engineering 2 Meccanica 2 Studies in Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen ...and 94 more Serials
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#### Cited in 39 Fields

 860 Partial differential equations (35-XX) 744 Fluid mechanics (76-XX) 489 Numerical analysis (65-XX) 216 Statistical mechanics, structure of matter (82-XX) 97 Geophysics (86-XX) 57 Probability theory and stochastic processes (60-XX) 41 Biology and other natural sciences (92-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 36 Mechanics of deformable solids (74-XX) 29 Ordinary differential equations (34-XX) 28 Optics, electromagnetic theory (78-XX) 26 Operations research, mathematical programming (90-XX) 24 Astronomy and astrophysics (85-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Integral equations (45-XX) 18 Functional analysis (46-XX) 18 Mechanics of particles and systems (70-XX) 13 Operator theory (47-XX) 13 Quantum theory (81-XX) 11 Real functions (26-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Relativity and gravitational theory (83-XX) 8 Measure and integration (28-XX) 7 Systems theory; control (93-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Statistics (62-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-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)