# Jean-François Coulombel

## Publications

You can download below preliminary versions of my articles.

Geometric optics for surface waves in nonlinear elasticity, with Mark Williams, pdf , April 2016

Annales de la Faculté des Sciences de Toulouse, 2017

The Mach stem equation and amplification in strongly nonlinear geometric optics, with Mark Williams, pdf

American Journal of Mathematics, 2017

Stability of finite difference schemes for hyperbolic initial boundary value problems: numerical boundary layers, with Benjamin Boutin, pdf

Numerical Mathematics: Theory, Methods and Applications, 2017

The Leray- Gårding method for finite difference schemes, pdf

Journal de l'École Polytechnique - Mathématiques, 2015

Final version free online

Fully discrete hyperbolic initial boundary value problems with nonzero initial data, pdf

Confluentes Mathematici, 2015

Final version free online

Singular pseudodifferential calculus for wavetrains and pulses, with Olivier Guès and Mark Williams, pdf

Bulletin de la Société Mathématique de France, 2014

Amplification of pulses in nonlinear geometric optics, with Mark Williams, pdf

Journal of Hyperbolic Differential Equations, 2014

Semilinear geometric optics with boundary amplification, with Olivier Guès and Mark Williams, pdf

Analysis and PDE, 2014

On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions, pdf

Calcolo, 2014

Nonlinear geometric optics for reflecting uniformly stable pulses, with Mark Williams, pdf

Journal of Differential Equations, 2013

The strong relaxation limit of the multidimensional Euler equations, with Chunjin Lin, pdf

Nonlinear Differential Equations and Applications, 2013

Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes, with Thierry Goudon, Pauline Lafitte and Chunjin Lin, pdf

Shock Waves, 2012

On the amplitude equations for weakly nonlinear surface waves, with Sylvie Benzoni-Gavage, pdf

Archive for Rational Mechanics and Analysis, 2012

A priori estimates for 3D incompressible current-vortex sheets, with Alessandro Morando, Paolo Secchi and Paola Trebeschi, pdf

Communications in Mathematical Physics, 2012

Resonant leading order geometric optics expansions for quasilinear hyperbolic fixed and free boundary problems, with Olivier Guès and Mark Williams, pdf

Communications in Partial Differential Equations, 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

Final version free on the journal website

Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems, with Olivier Guès, pdf

Annales de l'Institut Fourier, 2010

Final version free on NUMDAM

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,

Annales Scientifiques de l'Ecole Normale Supérieure, 2008

Final version free on NUMDAM

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,

Transactions of the American Mathematical Society, 2007

Final version free on the journal website

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

Final version free on the journal website

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

Final version free on NUMDAM

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 Neumann numerical boundary condition for transport equations, with Frédéric Lagoutière, 2017Geometric optics for surface waves in nonlinear elasticity, with Mark Williams, pdf , April 2016

## Publications

Transparent numerical boundary conditions for evolution equations: derivation and stability analysis, pdfAnnales de la Faculté des Sciences de Toulouse, 2017

The Mach stem equation and amplification in strongly nonlinear geometric optics, with Mark Williams, pdf

American Journal of Mathematics, 2017

Stability of finite difference schemes for hyperbolic initial boundary value problems: numerical boundary layers, with Benjamin Boutin, pdf

Numerical Mathematics: Theory, Methods and Applications, 2017

The Leray- Gårding method for finite difference schemes, pdf

Journal de l'École Polytechnique - Mathématiques, 2015

Final version free online

Fully discrete hyperbolic initial boundary value problems with nonzero initial data, pdf

Confluentes Mathematici, 2015

Final version free online

Singular pseudodifferential calculus for wavetrains and pulses, with Olivier Guès and Mark Williams, pdf

Bulletin de la Société Mathématique de France, 2014

Amplification of pulses in nonlinear geometric optics, with Mark Williams, pdf

Journal of Hyperbolic Differential Equations, 2014

Semilinear geometric optics with boundary amplification, with Olivier Guès and Mark Williams, pdf

Analysis and PDE, 2014

On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions, pdf

Calcolo, 2014

Nonlinear geometric optics for reflecting uniformly stable pulses, with Mark Williams, pdf

Journal of Differential Equations, 2013

The strong relaxation limit of the multidimensional Euler equations, with Chunjin Lin, pdf

Nonlinear Differential Equations and Applications, 2013

Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes, with Thierry Goudon, Pauline Lafitte and Chunjin Lin, pdf

Shock Waves, 2012

On the amplitude equations for weakly nonlinear surface waves, with Sylvie Benzoni-Gavage, pdf

Archive for Rational Mechanics and Analysis, 2012

A priori estimates for 3D incompressible current-vortex sheets, with Alessandro Morando, Paolo Secchi and Paola Trebeschi, pdf

Communications in Mathematical Physics, 2012

Resonant leading order geometric optics expansions for quasilinear hyperbolic fixed and free boundary problems, with Olivier Guès and Mark Williams, pdf

Communications in Partial Differential Equations, 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

Final version free on the journal website

Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems, with Olivier Guès, pdf

Annales de l'Institut Fourier, 2010

Final version free on NUMDAM

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,

Annales Scientifiques de l'Ecole Normale Supérieure, 2008

Final version free on NUMDAM

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,

Transactions of the American Mathematical Society, 2007

Final version free on the journal website

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

Final version free on the journal website

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

Final version free on NUMDAM

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