TY - JOUR
A2 - Banaś, Józef
AU - Dai, Zhaohui
AU - Wang, Xiaosong
AU - Zhang, Lingrui
AU - Hou, Wei
PY - 2015
DA - 2015/04/06
TI - Blow-Up Criterion of Weak Solutions for the 3D Boussinesq Equations
SP - 303025
VL - 2015
AB - The Boussinesq equations describe the three-dimensional incompressible fluid moving under the gravity and the earth rotation which come from atmospheric or oceanographic turbulence where rotation and stratification play an important role. In this paper, we investigate the Cauchy problem of the three-dimensional incompressible Boussinesq equations. By commutator estimate, some interpolation inequality, and embedding theorem, we establish a blow-up criterion of weak solutions in terms of the pressure p in the homogeneous Besov space Ḃ∞,∞0.
SN - 2314-8896
UR - https://doi.org/10.1155/2015/303025
DO - 10.1155/2015/303025
JF - Journal of Function Spaces
PB - Hindawi Publishing Corporation
KW -
ER -