Global regularity for solutions of magnetohydrodynamic equations with large initial data

Xiangsheng Xu

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arXiv · 2405.01982

Global regularity for solutions of magnetohydrodynamic equations with large initial data

Xiangsheng Xu

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Abstract

We study the regularity properties of solutions to the initial value problem for the magnetohydrodynamic equations in $\mathbb{R}^N, N\geq 3$. We obtain a global in-time strong solution without any smallness assumptions on the initial data.

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Xiangsheng Xu. 2024-05-03. Global regularity for solutions of magnetohydrodynamic equations with large initial data. https://arxiv.org/abs/2405.01982

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