1210.2468 (Jishan Fan et al.)

Regularity criteria and uniform estimates for the Boussinesq system with
the temperature- dependent viscosity and thermal diffusivity    [PDF]

Jishan Fan, Fucai Li, Gen Nakamura

In this paper we establish some regularity criteria for the 3D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity. We also obtain some uniform estimates for the corresponding 2D case when the fluid viscosity coefficient is a positive constant.

View original: http://arxiv.org/abs/1210.2468