A logarithmically improved regularity criterion for the surface quasi-geostrophic equation. (15th February 2018)

• Record Type: Journal Article
• Authors: Wen, Zhihong; Ye, Zhuan
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 4(2018)
• Page Start: 1368
• Page End: 1377
• Publication Date: 2018-02-15
• Subjects: Regularity criterion -- Surface quasi-geostrophic equation; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.11.004
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: 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.