arXiv subjects

Youssouf Maafa

Publications and source records attributed to Youssouf Maafa.

2 recordsLinked to original sources

arXiv2022

On the vanishing viscosity limit for the full viscous MHD system with critical axisymmetric initial data

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 uniformly to the viscosity when the resistivity is fixed in the spirit of \cite{AKH,Hassainia,hz0}. Furthermore, strong convergence in the resolution spaces with a rate of convergence is also studied.

math.AP↗

arXiv2021

Inviscid limit for the viscous 2D Boussinesq system with temperature-dependent diffusivity

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 patch. We also provide the inviscid limit for velocity, temperature, and associated flow toward the system studied very recently in \cite{Paicu-Zhu} as soon as the viscosity goes to zero, and quantify the rate of convergence.

math.AP↗