Blow-up criteria for the 3D Bénard system in Besov spaces

Abstract This paper studies the regularity criteria of weak solutions for Bénard fluid flows in three dimensions. When the velocity field and the temperature belong to some critical Besov spaces on (0,T) $(0,T)$, then the weak solution (u,θ) $(u,\theta )$ can be extended smoothly beyond T.

Bibliographic Details
Main Authors: Liangliang Ma, Lei Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2011-0