Well-posedness of the MHD boundary layer system in Gevrey function space without Structural Assumption

2020/09/14 by Li, Wei-Xi, Yang, Tong · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.06513

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 3/2 in both two and three dimensional spaces.

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• Gevrey well-posedness of the hydrostatic MHD-wave system

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