Gevrey well-posedness of the hydrostatic MHD-wave system

Communications on Pure &amp Applied Analysis 2026 Open access

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Authors: Wei-Xi Li, Zhan Xu
DOI: 10.3934/cpaa.2026042
Cited by: 0
References: 40

Abstract

This paper investigates the well-posedness of the hydrostatic MHD-wave system. Unlike the standard hydrostatic MHD equations, the tangential magnetic field equation in this system is degenerate hyperbolic rather than parabolic, which leads to substantial mathematical difficulties. Using the boundary decomposition method, we establish local well-posedness in Gevrey $ \frac{7}{6} $ space for convex initial data.

Fields of Study & Subjects

Navier-Stokes equation solutions Advanced Mathematical Physics Problems Differential Equations and Boundary Problems

Publication details

Journal / source
Communications on Pure &amp Applied Analysis
Volume
33
Issue
0
Pages
1–44
Publication date
1 January 2026
Language
EN