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Conditional Regularity for the 3D Damped Boussinesq Equations with Zero Thermal Diffusion

  • Zhouyu Li,
  • Wenjuan Liu,
  • Qi Zhou

摘要

The main purpose of this paper is to establish regularity criteria of the 3D damped Boussinesq equations with zero thermal diffusion. It is shown that if two components of the velocity or the gradient of velocity belong to some Lorentz spaces in both time and spatial directions, then the weak solution is regular on [0, T].