Journal
APPLIED MATHEMATICS LETTERS
Volume 132, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.108195
Keywords
Regularity criteria; Boussinesq equations; Littlewood-Paley decomposition; Besov space
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Funding
- National Natural Science Foundation of China [12071043]
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By utilizing Fourier analysis and the equation's structure, we investigate the blow-up criterion of the smooth solution for the 3D Boussinesq system with partial viscosity.
By means of Fourier analysis and the structure of the equation, for the 3D Boussinesq system with partial viscosity, we show the blow-up criterion of the smooth solution via a Beale-Kato-Majda type of sup(j is an element of Z)integral(T)(0) parallel to(Delta)over dot(j)del x u parallel to(infinity)dt and a Serrin type of parallel to u parallel to(-1)(C([0,T ),B infinity,infinity)()) or especially its oscillation in the B-infinity,infinity(-1) norm with small amplitude. (c) 2022 Elsevier Ltd. All rights reserved.
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