Blow-up criteria for the 3D Bénard system in Besov spaces
Blow-up criteria for the 3D Bénard system in Besov spaces
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 $(0,T)$ , then the weak solution $(u,\theta )$ can be extended smoothly beyond T.