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- Université Paris Dauphine-PSLFR14 papers
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12 papers · 1 filter
On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves
Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut
We provide a rigorous mathematical derivation of the convergence in the long-wave transonic limit of the minimizing travelling waves for the two-dimensional Gross-Pitaevskii equati…
Cauchy problem for viscous shallow water equations with a term of capillarity
Boris Haspot
In this article, we consider the compressible Navier-Stokes equation with density dependent viscosity coefficients and a term of capillarity introduced by Coquel et al in \cite{5CR…
Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces
Boris Haspot
This work is devoted to the global existence of weak solution for a general isothermal model of capillary fluids derived by C. Rohde, which can be used as a phase transition model.…
Characterization of the critical magnetic field in the Dirac-Coulomb equation
Jean Dolbeault, Maria J. Esteban, Michael Loss
We consider a relativistic hydrogenic atom in a strong magnetic field. The ground state level depends on the strength of the magnetic field and reaches the lower end of the spectra…
On the Bakry-Emery criterion for linear diffusions and weighted porous media equations
Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré
The goal of this paper is to give a non-local sufficient condition for generalized Poincaré inequalities, which extends the well-known Bakry-Emery condition. Such generalized Poinc…
Super-linear elliptic equation for the Pucci operator without growth restrictions for the data
Maria J. Esteban, Patricio Felmer, Alexander Quaas
In this paper we deal with existence and uniqueness of solution to super-linear problems for the Pucci operator: $$ -\M^+(D^2u)+|u|^{s-1}u=f(x) \quad {in} \RR^n, $$ where and…