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Regularity criteria for 3D Boussinesq equations with zero thermal diffusion. (English) Zbl 1314.35115
Summary: In this article, we consider the three-dimensional (3D) incompressible Boussinesq equations with zero thermal diffusion. We establish a regularity criterion for the local smooth solution in the framework of Besov spaces in terms of the velocity only.

MSC:
35Q35 PDEs in connection with fluid mechanics
35B65 Smoothness and regularity of solutions to PDEs
76R10 Free convection
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