arxiv:2401.01704

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

Published on Jan 3, 2024

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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,e_1) for Dirichlet boundary condition of velocity and modified Neumann boundary condition of magnetic.

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