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- W766747812 abstract "In this paper we study the Cauchy problem for the two-dimensional (2D) incompressible Boussinesq equations with fractional Laplacian dissipation and thermal diffusion. Invoking the energy method and several commutator estimates, we get the global regularity result of the 2D Boussinesq equations as long as $1-alpha<beta< minBig{frac{alpha}{2},,, frac{3alpha-2}{2alpha^{2}-6alpha+5}, ,,frac{2-2alpha}{4alpha-3}Big}$ with $0.77963thickapproxalpha_{0}<alpha<1$. As a result, this result is a further improvement of the previous two works cite{MX,YXX}." @default.
- W766747812 created "2016-06-24" @default.
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- W766747812 date "2015-06-30" @default.
- W766747812 modified "2023-10-14" @default.
- W766747812 title "A note on global regularity results for 2D Boussinesq equations with fractional dissipation" @default.
- W766747812 doi "https://doi.org/10.48550/arxiv.1506.08993" @default.
- W766747812 hasPublicationYear "2015" @default.
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