13 citations · 31 across the 17 of their papers we have counts for
20 papers
Charge-free well-posedness and charge-driven norm inflation for the Euler-Maxwell system
Haroune Houamed
We study the two-dimensional incompressible Euler-Maxwell system under the normal geometry in which the velocity and electric field are planar and the magnetic field is normal to t…
Optimal Time-Decay of global solutions to the Navier-Stokes-Maxwell system
Haroune Houamed, Slim Ibrahim, Belkacem Said-Houari
We prove the existence and uniqueness of global-in-time solutions to the Navier--Stokes--Maxwell (NSM) system for small initial data in the critical Fujita--Kato space $\dot H^{\fr…
Strong Ill-Posedness in critical and subcritical regimes for the Hunter-Saxton equation
Billel Guelmame, Haroune Houamed
We study the Hunter--Saxton equation on the real line and its global dissipative solution in the energy space We prove strong ill-p…
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 electr…
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…
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…
Uniformly rotating vortices for the lake equation
Taoufik Hmidi, Haroune Houamed, Emeric Roulley +1
We investigate the existence of time-periodic vortex patch solutions, in both simply and doubly-connected cases, for the two-dimensional lake equation where the depth function of t…
Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
Diogo Arsénio, Zineb Hassainia, Haroune Houamed
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier--Stokes--Maxwell equations. More precisely, we are able to prove that, for large values of…
Dynamic Behavior of a Multi-Layer Quasi-Geostrophic Model: Weak and Time-Periodic Solutions
Zineb Hassainia, Haroune Houamed
The quasi-geostrophic two-layer (QS2L) system models the dynamic evolution of two interconnected potential vorticities, each is governed by an active scalar equation. These vortici…
Stability analysis of two-dimensional ideal flows with applications to viscous fluids and plasmas
Diogo Arsénio, Haroune Houamed
We are interested in the stability analysis of two-dimensional incompressible inviscid fluids. Specifically, we revisit a recent result on the stability of Yudovich's solutions to…
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…
Rigidity aspects of singular patches in stratified flows
Taoufik Hmidi, Haroune Houamed, Mohamed Zerguine
We explore the local well-posedness theory for the 2d inviscid Boussinesq system when the vorticity is given by a singular patch. We give a significant improvement of \cite{Hassain…
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…
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…
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…
Well-posedness and long time behavior for the Electron Inertial Hall-MHD system in Besov and Kato-Herz spaces
Haroune Houamed
In this paper, we study the wellposedeness of the Hall-magnetohydrodynamic system augmented by the effect of electron inertia. Our main result consists of generalising the wellpose…
About some possible blow-up conditions for the 3-D Navier-Stokes equations
Haroune Houamed
In this paper, we study some conditions related to the question of the possible blow-up of regular solutions to the 3D Navier-Stokes equations. In particular, up to a modification…
Uniqueness result for the 3-D Navier-Stokes-Boussinesq Equations with Horizontal Dissipation
Pierre Dreyfuss, Haroune Houamed
In this paper, for the 3-D Navier-Stokes-Boussinesq system with horizontal dissipation, where there is no smoothing effect on the vertical derivatives, we prove a uniqueness result…