Global well-posedness for 2D inviscid and resistive MHD system near an equilibrium

Yuanyuan Qiao

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arXiv · 2310.17134

Global well-posedness for 2D inviscid and resistive MHD system near an equilibrium

Yuanyuan Qiao

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Abstract

We study the global existence of classical solutions for two-dimensional incompressible MHD system with only magnetic diffusion. By using the time-weighted lower-order energy and uniformly bounded higher-order energy estimates, we prove the global existence result under the assumption that the initial magnetic field is close enough to a constant magnetic vorticity equilibrium.

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Yuanyuan Qiao. 2023-10-26. Global well-posedness for 2D inviscid and resistive MHD system near an equilibrium. https://arxiv.org/abs/2310.17134

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