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

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

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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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