Global well-posedness for the 3-D Boussinesq system with damping (Q6155162)

In this paper the author studies the well-posedness of solutions of the 3-D Boussinesq system with damping in the whole space. By using some harmonic analysis technique, the author relaxes the smallness condition and deals with the nonlinear coupling between the horizontal components and the vertical one with temperature. Finally, the author shows the global well-posedness in the case where the initial velocity field with the third component is large. The paper is very delicate and impressive.