Inviscid limit for the viscous 2D Boussinesq system with temperature-dependent diffusivity
Analysis of PDEs
2021-01-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2101.07014,
title = {Inviscid limit for the viscous 2D Boussinesq system with temperature-dependent diffusivity},
author = {Mohamed Zerguine and Youssouf Maafa},
journal= {arXiv preprint arXiv:2101.07014},
year = {2021}
}