An alternative proof of logarithmically improved Beale–Kato–Majda type extension criteria for smooth solutions to the Navier–Stokes equations. (November 2018)

• Record Type: Journal Article
• Authors: Nakao, Kohei; Taniuchi, Yasushi
• Is Part Of: Nonlinear analysis. Volume 176(2018)
• Page Start: 48
• Page End: 55
• Publication Date: 2018-11
• Subjects: 35Q30 -- 35Q35 -- 76D05; Navier–Stokes equations -- Extension criteria; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2018.05.018
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We give an alternative proof of a logarithmically improved Beale–Kato–Majda type extension criterion for smooth solutions to the Navier–Stokes equations in the whole space, which was shown by Fan et al. (2011). By our method, we can also establish a similar criterion to the above in case of the half space, bounded domains and exterior domains.