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

Zhaoyun Zhang; Xiaopeng Zhao

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arXiv · 2401.01704

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

Zhaoyun Zhang·Xiaopeng Zhao

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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 $(0,\bf{e_1})$ for Dirichlet boundary condition of velocity and modified Neumann boundary condition of magnetic.

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Zhaoyun Zhang, Xiaopeng Zhao. 2024-01-03. Global Well-posedness for 2D non-resistive MHD equations in half-space. https://arxiv.org/abs/2401.01704

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