首页|Some New Regularity Criteria for the 3D Boussinesq Equations in Homogeneous Besov Spaces
Some New Regularity Criteria for the 3D Boussinesq Equations in Homogeneous Besov Spaces
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In this paper,we study the regularity criterion for the three-dimensional Boussinesq equations in Besov spaces.We show that the smooth solution(u,θ)is regular if the horizonal velocity uh holds∫T0‖▽huh||q(B)0p,2p/3dt＜∞,with 3/p+2/q=2,3/2＜p≤ ∞,or∫T0‖▽uh‖2(B)-1∞,∞dt＜∞.
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