144 citations
- Sorbonne UniversitéFR26 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Institut national de recherche en sciences et technologies du numériqueFR8 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Centre de Recherche en Mathématiques de la DécisionFR4 papers
- Département de mathématiques et applicationsFR4 papers
- Université Paris CitéFR4 papers
- École Normale Supérieure - PSLFR3 papers
- École PolytechniqueFR3 papers
- Fudan UniversityCN2 papers
- Laboratoire de Mathématiques Analyse, Probabilités, Modélisation OrléansFR2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
Showing 2007 · math.APShow all
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math.AP2007★ 133 cited
Travelling waves for the Gross-Pitaevskii equation II
Fabrice Bethuel, Philippe Gravejat, Jean-Claude Saut
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Ou…
math.AP2007★ 24 cited
Symmetries and global solvability of the isothermal gas dynamics equations
Philippe G. LeFloch, Vladimir Shelukhin
We study the Cauchy problem associated with the system of two conservation laws arising in isothermal gas dynamics, in which the pressure and the density are related by the -law…
math.AP2007
Entropy solutions of the Euler equations for isothermal relativistic fluids
Philippe G. LeFloch, Mitsuru Yamazaki
We investigate the initial-value problem for the relativistic Euler equations governing isothermal perfect fluid flows, and generalize an approach introduced by LeFloch and Shelukh…