Commutator estimate and its application to regularity criteria of the dissipative quasi-geostrophic equation

Jianwen Chen, Zhi-Min Chen and Bo-Qing Dong

Applied Mathematics and Computation, 2018, vol. 329, issue C, 84-91

Abstract: 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.

Keywords: Commutator estimate; Supercritical dissipative quasi-geostrophic equation; Regularity criterion; Existence of global regular solutions (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:329:y:2018:i:c:p:84-91

DOI: 10.1016/j.amc.2018.01.062

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