Commutator estimate and its application to regularity criteria of the dissipative quasi-geostrophic equation
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摘要
A new commutator estimate with respect to a nonlinear convection upper bounded by a single partial derivative component in Hilbert spaces is obtained. As an application, regularity criteria on the supercritical quasi-geostrophic equation are obtained provided that solution growth conditions are assumed to involve a single partial derivative component.
论文关键词：Commutator estimate,Supercritical dissipative quasi-geostrophic equation,Regularity criterion,Existence of global regular solutions
论文评审过程：Received 10 January 2017, Revised 28 January 2018, Accepted 29 January 2018, Available online 20 February 2018, Version of Record 20 February 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.01.062
