Global regularity for solutions of magnetohydrodynamic equations with large initial data

Abstract

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

arXiv admin note: substantial text overlap with arXiv:2404.16433