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

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. (C) 2018 Elsevier Inc. All rights reserved.