3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2025
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…