Remarks on Pressure Blow‐Up Criterion of the 3D Zero‐Diffusion Boussinesq Equations in Margin Besov Spaces

Min Fu and Chao Cai

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: This study is focused on the pressure blow‐up criterion for a smooth solution of three‐dimensional zero‐diffusion Boussinesq equations. With the aid of Littlewood‐Paley decomposition together with the energy methods, it is proved that if the pressure satisfies the following condition on margin Besov spaces, π(x,t)∈L2/(2+r)(0,T;B˙∞,∞r) for r = ±1, then the smooth solution can be continually extended to the interval (0, T⁎) for some T⁎ > T. The findings extend largely the previous results.

Date: 2017
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https://doi.org/10.1155/2017/6754780

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:6754780

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