Global regularity for the viscous Boussinesq equations
نویسندگان
چکیده
∇·u=0 Here is the temperature, u=(u1; u2) is the velocity, p is the pressure. In Reference [1], Pumir and Siggia observed that the cap of a symmetric rising bubble collapses in a nite time. In contrast, E and Shu [2] reported that the motion of the bubble cap is a very unlikely candidate for nite time singularity formation. In this paper, we prove the global regularity for the viscous Boussinesq equations: t + u ·∇ = ut + u ·∇u+∇p= ( 0 ) + u
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