Global regularity for solutions of magnetohydrodynamic equations with large initial data

Fuente: arXiv
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Main Author: Xu, Xiangsheng
Format: Preprint
Published: 2024
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author Xu, Xiangsheng
author_facet Xu, Xiangsheng
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_01982
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Global regularity for solutions of magnetohydrodynamic equations with large initial data
Xu, Xiangsheng
Analysis of PDEs
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.
title Global regularity for solutions of magnetohydrodynamic equations with large initial data
topic Analysis of PDEs
url https://arxiv.org/abs/2405.01982