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A note on regularity criterion for the 3D Boussinesq system with partial viscosity. (English) Zbl 1171.35342
Summary: We prove a regularity criterion for $\omega := \text{curl }u\in L^1(0,T;\dot B^0_{\infty,\infty})$ for the 3D Boussinesq system with partial viscosity. Here $u$ is the velocity, $\omega$ is the vorticity and $\dot B^0_{\infty,\infty}$ denotes the homogeneous Besov space.

##### MSC:
 35B65 Smoothness and regularity of solutions of PDE 35Q35 PDEs in connection with fluid mechanics
##### Keywords:
Besov spaces; partial viscosity
Full Text:
##### References:
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