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

Yi Zhou; Yuanyuan Qiao

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

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arxiv 2310.10914 v3 pith:DRERLI6Q submitted 2023-10-17 math.AP

Yuanyuan Qiao , Yi Zhou This is my paper · ORCID

classification math.AP

keywords backgroundglobalmagneticnon-resistivesolutionssystemvorticityconducting

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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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