8 papers · 1 filter
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…
Sharp Strong Convergence in Ideal Flows
Haroune Houamed, Marc Magaña
We investigate the strong convergence of weak solutions to the two-dimensional Quasi-Geostrophic Shallow-Water (QGSW) equation as the inverse Rossby radius tends to zero. In this l…
Ill-Posedness of the Incompressible Euler--Maxwell Equations in the Yudovich Class
Haroune Houamed
It was shown recently by Arsénio and the author that the two-dimensional incompressible Euler--Maxwell system is globally well-posed in the Yudovich class, provided that the elect…
Global unique solutions to the planar inhomogeneous Navier--Stokes--Maxwell equations
Diogo Arsénio, Haroune Houamed, Belkacem Said--Houari
The evolution of an electrically conducting imcompressible fluid with nonconstant density can be described by a set of equations combining the continuity, momentum and Maxwell's eq…
Damped Strichartz estimates and the incompressible Euler--Maxwell system
Diogo Arsénio, Haroune Houamed
Euler--Maxwell systems describe the dynamics of inviscid plasmas. In this work, we consider an incompressible two-dimensional version of such systems and prove the existence and un…
Convergence rate for a regularized scalar conservation law
Billel Guelmame, Haroune Houamed
This work revisits a recent finding by the first author concerning the local convergence of a regularized scalar conservation law. We significantly improve the original statement b…