Regularity criteria for the 3D density-dependent Boussinesq equations. (English) Zbl 1168.35416

Fan, Jishan; Ozawa, Tohru

Nonlinearity 22, No. 3, 553-568 (2009).

Summary: We consider the 3D density-dependent Boussinesq equations and the classical Boussinesq equations with partial viscosity terms. We prove some regularity criteria of strong solutions for the Boussinesq equations.

MSC:

35Q35	PDEs in connection with fluid mechanics
76B03	Existence, uniqueness, and regularity theory for incompressible inviscid fluids
35B65	Smoothness and regularity of solutions to PDEs

Keywords:

density-dependent Boussinesq equations; regularity criteria; strong solutions