Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 110, Issue -, Pages 97-103Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2014.07.022
Keywords
Boussinesq equations; Fractional dissipation; Blow-up criterion
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Funding
- NSFC [11371059]
- BNSF [2112023]
- Fundamental Research Funds for the Central Universities of China
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This paper is dedicated to the study the Boussinesq equations with fractional dissipation in n-dimensions (n >= 2). We obtain a blow-up criterion for the local in time classical solution to the Boussinesq equations with arbitrarily small fractional powers of the Laplacian. Therefore our results significantly improve the previous works and are more closer to the resolution of the well-known regularity criterion issue on the inviscid Boussinesq equations. (C) 2014 Elsevier Ltd.
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