Jean-François Coulombel


Lecture notes, proceedings

Lecture notes

Stability of finite difference schemes for hyperbolic initial boundary value problems, pdf
Published in AIMS Applied Mathematics series (free online)

Equations hyperboliques non-linéaires, pdf (in French)

Proceedings

Amplitude equations for weakly nonlinear surface waves in variational problems, with Sylvie Benzoni-Gavage, pdf
Shocks, singularities and oscillations in nonlinear optics and fluid mechanics, 2017

Ondes de surface faiblement non-linéaires, with Sylvie Benzoni-Gavage and Nikolay Tzvetkov, pdf (in French)
Séminaire Laurent Schwartz, 2011-2012

Stability of finite difference schemes for hyperbolic initial boundary value problems,
Hyp 2010, Beijing (China), 2010

Multi-d shock waves and surface waves, with Sylvie Benzoni-Gavage,
Hyp 2008, College Park (USA), 2008

Shock profiles in radiative hydrodynamics, with Thierry Goudon,
Session Etats de la Recherche, Nice (France), 2007

Nonlinear stability of compressible vortex sheets, with Paolo Secchi,
Hyp 2006, Lyon (France), 2006

Problèmes mixtes hyperboliques bien-posés, pdf (in French)
Analyse des équations aux dérivées partielles, Forges les eaux (France), 2004

Stability of compressible vortex sheets, with Paolo Secchi,
Equadiff 2003, Hasselt (Belgium), 2003

Weak stability of multidimensional shock waves,
Hyp 2002, Pasadena (USA), 2002

Edition

Analysis and simulation of fluid dynamics, Caterina Calgaro, Jean-François Coulombel, Thierry Goudon Editors, link
Advances in mathematical fluid mechanics, Birkhauser, 2007

Miscellanea

The amplitude equation for weakly nonlinear reversible phase boundaries, with Sylvie Benzoni-Gavage, pdf

Résolvante, stabilité et applications (in French), pdf
Matapli, 2014

Stability of finite volume schemes for hyperbolic systems in two space dimensions, pdf

Le théorème d'interpolation de Marcinkiewicz, pdf (in French)
Un théorème de Calderon-Zygmund, pdf (in French)
Lemme de Cotlar, continuité des opérateurs pseudo-différentiels, pdf (in French)

La quadrature (approchée) du cercle par Srinivasa Ramanujan, pdf (in French)
Construire le milieu d'un segment avec un compas (merci à M. Leclert pour le fichier), pdf (in French)

PhD Thesis and Habilitation à Diriger des Recherches

Problèmes aux limites et problèmes asymptotiques dans l'étude des systèmes hyperboliques, pdf (in French)
Habilitation à Diriger des Recherches, defended on April 1, 2008

Stabilité multidimensionnelle d'interfaces dynamiques. Application aux transitions de phase liquide-vapeur, pdf (in French)
PhD Thesis, defended on December 13, 2002