Global existence of 2D electron MHD near a steady state

Mimi Dai

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arXiv · 2306.13036

Global existence of 2D electron MHD near a steady state

Mimi Dai

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Abstract

We study the electron magnetohydrodynamics (MHD) in two dimensional geometry, which has a rich family of steady states. In an anisotropic resistivity context, we show global in time existence of small smooth solution near a shear type steady state. Convergence rate of the solution to the steady state is also obtained.

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Mimi Dai. 2023-06-22. Global existence of 2D electron MHD near a steady state. https://arxiv.org/abs/2306.13036

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