133 citations
- Sorbonne UniversitéFR15 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Centre de Recherche en Mathématiques de la DécisionFR4 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR4 papers
- Département de mathématiques et applicationsFR3 papers
- École Normale Supérieure - PSLFR2 papers
- École PolytechniqueFR2 papers
- Fudan UniversityCN2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
- Université Paris CitéFR2 papers
- Université Paris Dauphine-PSLFR2 papers
6 papers · 2 filters
Dynamics of vortices for the Complex Ginzburg-Landau equation
Evelyne Miot
We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to wel…
Large-Time Behavior of Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Gui-Qiang Chen, Benoit Perthame
We are interested in the large-time behavior of periodic entropy solutions in to anisotropic degenerate parabolic-hyperbolic equations of second-order. Unlike the pure h…
The Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials
François Golse, Laure Saint-Raymond
The present paper proves that all limit points of sequences of renormalized solutions of the Boltzmann equation in the limit of small, asymptotically equivalent Mach and Knudsen nu…
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…
Orbital stability of the black soliton to the Gross-Pitaevskii equation
Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut +1
We establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = þ\big(\frac{x}{\sqrt{2}} \big)$, to the one-dimensional Gross-Pitaevskii equation, with respec…
Bimodality, prion aggregates infectivity and prediction of strain phenomenon
Vincent Calvez, Natacha Lenuzza, Dietmar Oelz +4
We consider a model for the polymerization (fragmentation) process involved in infectious prion self-replication and study both its dynamics and non-zero steady state. We address s…