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• W3100241898 abstract "As a continuation of the previous work [40], in this paper we focus on the Cauchy problem of the two-dimensional (2D) incompressible Boussinesq equations with fractional Laplacian dissipation. We give an elementary proof of the global regularity of the smooth solutions of the 2D Boussinesq equations with a new range of fractional powers of the Laplacian. The argument is based on the nonlinear lower bounds for the fractional Laplacian established in [12]. Consequently, this result significantly improves the recent works [12, 38, 40]." @default.
• W3100241898 created "2020-11-23" @default.
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• W3100241898 date "2016-01-02" @default.
• W3100241898 modified "2023-09-23" @default.
• W3100241898 title "Global Regularity Results of the 2D Boussinesq Equations with Fractional Laplacian Dissipation" @default.
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• W3100241898 doi "https://doi.org/10.1007/s00021-015-0245-2" @default.
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