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 -