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

Commutator estimate and its application to regularity criteria of the dissipative... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Computation Elsevier

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

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Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier Inc.
ISSN
0096-3003
eISSN
1873-5649
D.O.I.
10.1016/j.amc.2018.01.062
Publisher site
See Article on Publisher Site

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.

Journal

Applied Mathematics and ComputationElsevier

Published: Jul 15, 2018

References

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