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arXiv · 1509.07434

Regularity Criterion for the Three-dimensional Boussinesq Equations

Karen Zaya
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Abstract

We prove that a solution to the three-dimensional Boussinesq equations does not blow-up at time T if $\| u_{\le Q}\|_{B^1_{\infty, \infty}}$ is integrable on $(0, T)$, where $u_{\le Q }$ represents the low modes of Littlewood-Paley projection of the velocity $u$.

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Karen Zaya. 2015-09-24. Regularity Criterion for the Three-dimensional Boussinesq Equations. https://arxiv.org/abs/1509.07434

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