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Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation

Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation
Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation
Through Littlewood-Paley decomposition argument, a commutator estimate in terms of partial derivatives of solutions for the critical and supercritical dissipative 2D Quasi-Geostrophic equation is established. As an application of this estimate, we obtain some new a priori estimates and prove the existence and uniqueness of solution for the small initial data in critical Besov spaces.
0022-247X
755-767
Chen, Jianwen
f907ab70-f315-4e92-88dd-993a8b8a70eb
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Chen, Jianwen
f907ab70-f315-4e92-88dd-993a8b8a70eb
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f

Chen, Jianwen and Chen, Zhi-Min (2016) Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation. Journal of Mathematical Analysis and Applications, 444 (1), 755-767. (doi:10.1016/j.jmaa.2016.06.071).

Record type: Article

Abstract

Through Littlewood-Paley decomposition argument, a commutator estimate in terms of partial derivatives of solutions for the critical and supercritical dissipative 2D Quasi-Geostrophic equation is established. As an application of this estimate, we obtain some new a priori estimates and prove the existence and uniqueness of solution for the small initial data in critical Besov spaces.

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Submitted date: 1 January 2016
Accepted/In Press date: 12 June 2016
e-pub ahead of print date: 5 July 2016
Published date: 1 December 2016
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 401685
URI: http://eprints.soton.ac.uk/id/eprint/401685
DOI: doi:10.1016/j.jmaa.2016.06.071
ISSN: 0022-247X
PURE UUID: 10d743cb-d0e4-41af-8d18-d2dbcb5230cc

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Date deposited: 19 Oct 2016 13:31
Last modified: 15 Mar 2024 05:59

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Contributors

Author: Jianwen Chen
Author: Zhi-Min Chen

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