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Yong Zhou, S. Gala (2010)
Regularity criteria for the solutions to the 3D MHD equations in the multiplier spaceZeitschrift für angewandte Mathematik und Physik, 61
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In this paper, we consider the 3D density-dependent magnetohydrodynamic equations with vacuum in the whole space R3\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathbb {R}^{3}$$\end{document}, and provide a regularity criterion involving the velocity field in BMO space norm. This work generalizes the regularity criterion of the constant density MHD equations to the density-dependent one.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Feb 6, 2020
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