Global solutions of 2D non-resistive MHD system with constant background magnetic vorticity

2023/10/17 by Qiao, Yuanyuan, Zhou, Yi
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.10914

Abstract

This paper investigates the stabilization effect of a background magnetic vorticity on electrically conducting fluids. By exploring the dissipation nature of the linearized equations, we prove the global existence of smooth solutions to the two-dimensional incompressible viscous and non-resistive MHD system.

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