Existence, Uniqueness, and Smoothing for Generalized EMHD

Chao Wu

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arXiv · 2603.15986

Existence, Uniqueness, and Smoothing for Generalized EMHD

Chao Wu

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Abstract

We study the Cauchy problem for generalized electron magnetohydrodynamics (EMHD). We establish the local existence and uniqueness of solutions in critical Sobolev spaces, as well as global existence and uniqueness for small initial data. In addition, we prove an instantaneous smoothing effect for the corresponding solutions. Finally, we derive time decay rates for the global solutions.

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Chao Wu. 2026-03-16. Existence, Uniqueness, and Smoothing for Generalized EMHD. https://arxiv.org/abs/2603.15986

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