Global solutions of 2D non-resistive MHD system with constant background magnetic vorticity
Yuanyuan Qiao, Yi Zhou
TL;DR
This paper proves the global existence of smooth solutions for a 2D non-resistive MHD system with background magnetic vorticity, highlighting the stabilizing effect of magnetic vorticity on conducting fluids.
Contribution
It establishes the global well-posedness of the 2D non-resistive MHD equations with a constant background magnetic vorticity, a novel result in the field.
Findings
Global existence of smooth solutions proven
Dissipation properties of linearized equations analyzed
Stabilizing effect of magnetic vorticity demonstrated
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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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Stability and Controllability of Differential Equations