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20192026
most citedOn the global solvability of the axisymmetric Boussinesq system with critical regularity

5 citations · 5 across the 4 of their papers we have counts for

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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 electr…

math.AP2021

Remarks on the global well-posedness of the axisymmetric Boussinesq system with rough initial data

Adalet Hanachi, Haroune Houamed, Mohamed Zerguine

This work concerns the global well-posedness problem for the 3D axisymmetric viscous Boussinesq system with critical rough initial data. More precisely, we aim to extending our rec…

math.AP2020

On the global well-posedness of axisymmetric viscous Boussinesq system in critical Lebesgue spaces

Adalet Hanachi, Haroune Houamed, Mohamed Zerguine

The contribution of this paper will be focused on the global existence and uniqueness topic in three-dimensional case of the axisymmetric viscous Boussinesq system in critical Lebe…

math.AP20205 cited

On the global solvability of the axisymmetric Boussinesq system with critical regularity

Haroune Houamed, Mohamed Zerguine

The current paper is principally motivated by establishing the global well-posedness to the three-dimensional Boussinesq system with zero diffusivity in the setting of axisymmetric…