4 papers
Singular traveling waves for the Euler-Poisson system
Billel Guelmame, Taoufik Hmidi, Haroune Houamed +1
We consider the Euler-Poisson system for ions where the electrons are given by a Maxwell-Boltzmann distribution, and we investigate the existence of one-dimensional periodic travel…
Semiclassical limit of cubic nonlinear Schrödinger equations for mixed states
Daniel Han-Kwan, Frédéric Rousset
In this work, we study the semiclassical limit of cubic Nonlinear Schrödinger equations for mixed states. We justify the limit to a singular Vlasov equation (in which the force fie…
Linear Landau damping for the Vlasov-Maxwell system in
Daniel Han-Kwan, Toan T. Nguyen, Frédéric Rousset
In this work, we consider the relativistic Vlasov-Maxwell system, linearized around a spatially homogeneous equilibrium, set in the whole space .…
Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II
David Gérard-Varet, Daniel Han-Kwan, Frédéric Rousset
In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work \cite{GVHKR},…