References & Citations
Mathematics > Analysis of PDEs
Title: Global regularity for solutions of magnetohydrodynamic equations with large initial data
(Submitted on 3 May 2024 (v1), last revised 9 May 2024 (this version, v3))
Abstract: We study the existence of a strong solution 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.
Submission history
From: Xiangsheng Xu [view email][v1] Fri, 3 May 2024 10:19:17 GMT (21kb)
[v2] Mon, 6 May 2024 23:09:44 GMT (21kb)
[v3] Thu, 9 May 2024 07:34:26 GMT (21kb)
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