27 citations · 185 across the 41 of their papers we have counts for
45 papers
The relativistic Vlasov-Maxwell system: Local smooth solvability for weak topologies
Christophe Cheverry, Slim Ibrahim
This article is devoted to the Relativistic Vlasov-Maxwell system in space dimension three. We prove the local smooth solvability for weak topologies (and its long time version for…
Phase transition threshold and stability of magnetic skyrmions
Slim Ibrahim, Ikkei Shimizu
We examine the stability of vortex-like configuration of magnetization in magnetic materials, so-called the magnetic skyrmion. These correspond to critical points of the Landau-Lif…
Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation
Nicolas Camps, Louise Gassot, Slim Ibrahim
We obtain probabilistic local well-posedness in quasilinear regimes for the Schrödinger half-wave equation with a cubic nonlinearity. We need to use a refined ansatz because of the…
Stable Singularity Formation for the Inviscid Primitive Equations
Charles Collot, Slim Ibrahim, Quyuan Lin
The primitive equations (PEs) model large scale dynamics of the oceans and the atmosphere. While it is by now well-known that the three-dimensional viscous PEs is globally well-pos…
Non-existence of ground states and gap of variational problems for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent in three space dimensions
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +1
In this paper, we consider minimization problems related to the combined power-type nonlinear scalar field equations involving the Sobolev critical exponent in three space dimensio…
Uniform Lifetime for Classical Solutions to the Hot, Magnetized, Relativistic Vlasov Maxwell System
Christophe Cheverry, Slim Ibrahim, Dayton Preissl
This article is devoted to the kinetic description in phase space of magnetically confined plasmas. It addresses the problem of stability near equilibria of the Relativistic Vlasov…