5 citations · 9 across the 9 of their papers we have counts for
9 papers
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…
On the vanishing viscosity limit for the full viscous MHD system with critical axisymmetric initial data
Youssouf Maafa, Mohamed Zerguine
The current paper establishes the global well-posedness issue for the full viscous MHD equations in the axisymmetric setting. Global solutions are obtained in critical Besov spaces…
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…
Inviscid limit for the viscous 2D Boussinesq system with temperature-dependent diffusivity
Mohamed Zerguine, Youssouf Maafa
We establish global-posedness in time for the viscous Boussinesq equations in two dimensions of space with temperature-dependent diffusivity in the framework of a smooth vortex pat…
Local persistence of geometric structures of the inviscid nonlinear Boussinesq system
Oussama Melkemi, Mohamed Zerguine
Inspired by the recently published paper \cite{Hassainia-Hmidi}, the current paper investigates the local well-posedness for the generalized Boussinesq system in the setting o…
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…
Optimal rate of convergence in Stratified Boussinesq system
Mohamed Zerguine, Halima Meddour
We study the vortex patch problem for stratified Navier-Stokes system. We aim at extending several results obtained in \cite{ad,danchinpoche,hmidipoche} for standard Euler and…