A logarithmically improved regularity criterion for the surface quasi-geostrophic equation

In this paper, we consider the two-dimensional dissipative surface quasi-geostrophic equation, and establish a logarithmically improved regularity criterion. Consequently, our result extends the regularity criterion result of Dong and Pavlovié (2009). In addition, a logarithmically improved regulari...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2018-02, Vol.75 (4), p.1368-1377
Main Authors: Wen, Zhihong, Ye, Zhuan
Format: Article
Language:English
Subjects:
Criteria
Fluid dynamics
Mathematical functions
Navier-Stokes equations
Regularity
Regularity criterion
Surface quasi-geostrophic equation
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we consider the two-dimensional dissipative surface quasi-geostrophic equation, and establish a logarithmically improved regularity criterion. Consequently, our result extends the regularity criterion result of Dong and Pavlovié (2009). In addition, a logarithmically improved regularity criterion to the three-dimensional Navier–Stokes equations is also derived by the same arguments. Therefore, this result extends and improves many previous works.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2017.11.004