an:06816887
Zbl 1379.35258
Ye, Zhuan
Global regularity for a 3D Boussinesq model without thermal diffusion
EN
Z. Angew. Math. Phys. 68, No. 4, Paper No. 83, 9 p. (2017).
00369806
2017
j
35Q35 35B65 76D05
3D Boussinesq equations; global regularity; zero thermal diffusion
Summary: In this paper, we consider a modified three-dimensional incompressible Boussinesq model. The model considered in this paper has viscosity in the velocity equations, but no diffusivity in the temperature equation. To bypass the difficulty caused by the absence of thermal diffusion, we make use of the maximal \(L_t^{p}L_x^{q}\) regularity for the heat kernel to establish the global regularity result.