activity
20172022
most citedOn the global solvability of the axisymmetric Boussinesq system with critical regularity

5 citations · 9 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2022

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…

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.AP2021

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…

math.AP20203 cited

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…

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…