Global Well-posedness for 2D non-resistive MHD equations in half-space

2024/01/03 by Xiaopeng Zhao, Zhang, Zhaoyun, Zhao, Xiaopeng
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2401.01704

openalex publication_date 2024/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper focuses on the initial boundary value problem of two-dimensional non-resistive MHD equations in a half space. We prove that the MHD equations have a unique global strong solution around the equilibrium state (0,\bfe₁) for Dirichlet boundary condition of velocity and modified Neumann boundary condition of magnetic.

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