Jinyi Sun, Yuanwei Mai, Minghua Yang
Abstract:
This article concerns the well-posedness of the generalized magnetohydrodynamic equations
in variable Lebesgue spaces. By using some basic properties of variable Lebesgue spaces
and decay estimates of the fractional heat kernel, we prove the existence of local and
global solutions to the generalized magnetohydrodynamic equations in two different types
of variable Lebesgue spaces.
Submitted July 6, 2025. Published November 25, 2025.
Math Subject Classifications: 35Q35, 46E30, 76D03, 76W05.
Key Words: Generalized magnetohydrodynamic equations; variable Lebesgue spaces; well-posedness.
DOI: 10.58997/ejde.2025.111
Show me the PDF file (411 KB), TEX file for this article.
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Jinyi Sun College of Mathematics and Statistics Northwest Normal University Lanzhou 730070, China email: sunjinyi333@163.com |
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Yuanwei Mai College of Mathematics and Statistics Northwest Normal University Lanzhou 730070, China email: maiyuanwei0425@163.com |
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Minghua Yang Department of Mathematics Jiangxi University of Finance and Economics Nanchang 330032, China email: ymh20062007@163.com |
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