Jean-François Coulombel
Publications
You can download below preliminary versions of my articles.
Weakly nonlinear surface waves in magnetohydrodynamics, with Olivier Pierre, june 2018, pdf
Memoirs of the American Mathematical Society, 2019
Transparent numerical boundary conditions for evolution equations: derivation and stability analysis, pdf
Annales de la Faculté des Sciences de Toulouse, 2018
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
On the Mach stem configuration with shallow angle, with Mark Williams, july 2018, pdfWeakly nonlinear surface waves in magnetohydrodynamics, with Olivier Pierre, june 2018, pdf
Publications
Geometric optics for surface waves in nonlinear elasticity, with Mark Williams, pdfMemoirs of the American Mathematical Society, 2019
Transparent numerical boundary conditions for evolution equations: derivation and stability analysis, pdf
Annales de la Faculté des Sciences de Toulouse, 2018
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