Year: 2021
Author: Liangliang Ma
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 2 : pp. 144–169
Abstract
This paper concerns about the regularity conditions of weak solutions to the magnetic Bénard fluid system in $\mathbb{R}^3$. We show that a weak solution $(u,b,θ)(·,t)$ of the 3D magnetic Bénard fluid system defined in $[0,T),$ which satisfies some regularity requirement as $(u,b,θ),$ is regular in $\mathbb{R}^3×(0,T)$ and can be extended as a $C^∞$ solution beyond $T$.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n2.4
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 2 : pp. 144–169
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Magnetic Bénard fluid system regularity criteria conditional regularity Morrey-Campanato space Besov space.
Author Details
-
Conditional regularity for the 3D magnetic Bénard system in Vishik spaces
Ma, Dandan
Scapellato, Andrea
Wu, Fan
Applied Mathematics Letters, Vol. 154 (2024), Iss. P.108996
https://doi.org/10.1016/j.aml.2024.108996 [Citations: 0]