Jean-François Coulombel
Publications
You can download below preliminary versions of my articles.
On the amplitude equations for weakly nonlinear surface waves, with Sylvie Benzoni-Gavage, july 2011, pdf
Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes, with Thierry Goudon, Pauline Lafitte and Chunjin Lin, may 2011, pdf
Communications in Partial Differential Equations, 2011
A priori estimates for 3D incompressible current-vortex sheets, with Alessandro Morando, Paolo Secchi and Paola Trebeschi, pdf
Communications in Mathematical Physics, 2011
Ill-posedness of nonlocal Burgers equations, with Sylvie Benzoni-Gavage and Nikolay Tzvetkov, pdf
Advances in Mathematics, 2011
The hyperbolic region for hyperbolic boundary value problems, pdf
Osaka Journal of Mathematics, 2011
Stability of finite difference schemes for hyperbolic initial boundary value problems II, pdf
Annali della Scuola Normale Superiore di Pisa, 2011
Semigroup stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems, with Antoine Gloria, pdf
Mathematics of Computation, 2011
Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems, with Olivier Guès, pdf
Annales de l'Institut Fourier, 2010
Stability of finite difference schemes for hyperbolic initial boundary value problems, pdf
SIAM Journal on Numerical Analysis, 2009
Computation of shock profiles in radiative hydrodynamics, with Pauline Lafitte, pdf
Communications in Computational Physics, 2009
Uniqueness of 2D compressible vortex sheets, with Paolo Secchi, pdf
Communications on Pure and Applied Analysis, 2009
Relaxation approximation of the Euler equations, with Christophe Chalons, pdf
Journal of Mathematical Analysis and Applications, 2008
Nonlinear compressible vortex sheets in two space dimensions, with Paolo Secchi, pdf
Annales Scientifiques de l'Ecole Normale Supérieure, 2008
Asymptotic stability of shock profiles in radiative hydrodynamics, with Chunjin Lin and Thierry Goudon, pdf
Comptes Rendus de l'Académie des Sciences - Série Mathématiques, 2007
The strong relaxation limit of the multidimensional isothermal Euler equations, with Thierry Goudon, pdf
Transactions of the American Mathematical Society, 2007
Entropy-based moment closure for kinetic equations : Riemann problem and invariant regions, with Thierry Goudon, pdf
Journal of Hyperbolic Differential Equations, 2006
Shock profiles for nonequilibrium radiating gases, with Chunjin Lin and Thierry Goudon, pdf
Physica D, 2006
From gas dynamics to pressureless gas dynamics,
Proceedings of the American Mathematical Society, 2006
Diffusion approximation and entropy based moment closure for kinetic equations, with François Golse and Thierry Goudon, pdf
Asymptotic Analysis, 2005
Well-posedness of hyperbolic Initial Boundary Value Problems, pdf
Journal de Mathématiques Pures et Appliquées, 2005
Stability of contact discontinuities for the nonisentropic Euler equations, with Alessandro Morando,
Annali dell'Universita di Ferrara, 2004
On the transition to instability for compressible vortex sheets, with Paolo Secchi,
Proceedings of the Royal Society of Edinburgh Section A, 2004
The stability of compressible vortex sheets in two space dimensions, with Paolo Secchi, pdf
Indiana University Mathematics Journal, 2004
Weakly stable multidimensional shocks, pdf
Annales de l'Institut Henri Poincaré (Analyse non linéaire), 2004
Stability of multidimensional undercompressive shock waves,
Interfaces and Free Boundaries, 2003
Boundary conditions for Euler equations, with Sylvie Benzoni-Gavage and Stéphane Aubert,
AIAA Journal, 2003
Note on a paper by Robinet, Gressier, Casalis and Moschetta, with Sylvie Benzoni-Gavage and Denis Serre,
Journal of Fluid Mechanics, 2002
Weak stability of nonuniformly stable multidimensional shocks, pdf
SIAM Journal on Mathematical Analysis, 2002
Preprints
The strong relaxation limit of the multidimensional Euler equations, with Chunjin Lin, september 2011, pdfOn the amplitude equations for weakly nonlinear surface waves, with Sylvie Benzoni-Gavage, july 2011, pdf
Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes, with Thierry Goudon, Pauline Lafitte and Chunjin Lin, may 2011, pdf
Publications
Resonant leading order geometric optics expansions for quasilinear hyperbolic fixed and free boundary problems, with Olivier Guès and Mark Williams, pdfCommunications in Partial Differential Equations, 2011
A priori estimates for 3D incompressible current-vortex sheets, with Alessandro Morando, Paolo Secchi and Paola Trebeschi, pdf
Communications in Mathematical Physics, 2011
Ill-posedness of nonlocal Burgers equations, with Sylvie Benzoni-Gavage and Nikolay Tzvetkov, pdf
Advances in Mathematics, 2011
The hyperbolic region for hyperbolic boundary value problems, pdf
Osaka Journal of Mathematics, 2011
Stability of finite difference schemes for hyperbolic initial boundary value problems II, pdf
Annali della Scuola Normale Superiore di Pisa, 2011
Semigroup stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems, with Antoine Gloria, pdf
Mathematics of Computation, 2011
Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems, with Olivier Guès, pdf
Annales de l'Institut Fourier, 2010
Stability of finite difference schemes for hyperbolic initial boundary value problems, pdf
SIAM Journal on Numerical Analysis, 2009
Computation of shock profiles in radiative hydrodynamics, with Pauline Lafitte, pdf
Communications in Computational Physics, 2009
Uniqueness of 2D compressible vortex sheets, with Paolo Secchi, pdf
Communications on Pure and Applied Analysis, 2009
Relaxation approximation of the Euler equations, with Christophe Chalons, pdf
Journal of Mathematical Analysis and Applications, 2008
Nonlinear compressible vortex sheets in two space dimensions, with Paolo Secchi, pdf
Annales Scientifiques de l'Ecole Normale Supérieure, 2008
Asymptotic stability of shock profiles in radiative hydrodynamics, with Chunjin Lin and Thierry Goudon, pdf
Comptes Rendus de l'Académie des Sciences - Série Mathématiques, 2007
The strong relaxation limit of the multidimensional isothermal Euler equations, with Thierry Goudon, pdf
Transactions of the American Mathematical Society, 2007
Entropy-based moment closure for kinetic equations : Riemann problem and invariant regions, with Thierry Goudon, pdf
Journal of Hyperbolic Differential Equations, 2006
Shock profiles for nonequilibrium radiating gases, with Chunjin Lin and Thierry Goudon, pdf
Physica D, 2006
From gas dynamics to pressureless gas dynamics,
Proceedings of the American Mathematical Society, 2006
Diffusion approximation and entropy based moment closure for kinetic equations, with François Golse and Thierry Goudon, pdf
Asymptotic Analysis, 2005
Well-posedness of hyperbolic Initial Boundary Value Problems, pdf
Journal de Mathématiques Pures et Appliquées, 2005
Stability of contact discontinuities for the nonisentropic Euler equations, with Alessandro Morando,
Annali dell'Universita di Ferrara, 2004
On the transition to instability for compressible vortex sheets, with Paolo Secchi,
Proceedings of the Royal Society of Edinburgh Section A, 2004
The stability of compressible vortex sheets in two space dimensions, with Paolo Secchi, pdf
Indiana University Mathematics Journal, 2004
Weakly stable multidimensional shocks, pdf
Annales de l'Institut Henri Poincaré (Analyse non linéaire), 2004
Stability of multidimensional undercompressive shock waves,
Interfaces and Free Boundaries, 2003
Boundary conditions for Euler equations, with Sylvie Benzoni-Gavage and Stéphane Aubert,
AIAA Journal, 2003
Note on a paper by Robinet, Gressier, Casalis and Moschetta, with Sylvie Benzoni-Gavage and Denis Serre,
Journal of Fluid Mechanics, 2002
Weak stability of nonuniformly stable multidimensional shocks, pdf
SIAM Journal on Mathematical Analysis, 2002