Well-posedness of the MHD boundary layer system in Gevrey function space without Structural Assumption
Analysis of PDEs
2020-09-15 v1
Abstract
We establish the well-posedness of the MHD boundary layer system in Gevrey function space without any structural assumption. Compared to the classical Prandtl equation, the loss of tangential derivative comes from both the velocity and magnetic fields that are coupled with each other. By observing a new type of cancellation mechanism in the system for overcoming the loss derivative degeneracy, we show that the MHD boundary layer system is well-posed with Gevrey index up to in both two and three dimensional spaces.
Cite
@article{arxiv.2009.06513,
title = {Well-posedness of the MHD boundary layer system in Gevrey function space without Structural Assumption},
author = {Wei-Xi Li and Tong Yang},
journal= {arXiv preprint arXiv:2009.06513},
year = {2020}
}