2D Quasi-Geostrophic equation; sub-critical and critical cases. (February 2017)

• Record Type: Journal Article
• Authors: Dlotko, Tomasz; Sun, Chunyou
• Is Part Of: Nonlinear analysis. Volume 150(2017)
• Page Start: 38
• Page End: 60
• Publication Date: 2017-02
• Subjects: 35Q30 -- 76D05 -- 35S15 -- 35A25; Quasi-Geostrophic equation -- Local and global solvability -- Critical equation; 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.2016.11.005
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Our task here is to use a version of the 'vanishing viscosity technique' to study the critical 2D Quasi-Geostrophic equation . The present paper extends and specializes the results reported in Dlotko et al. (2015). We treat now in more detail the solutions of the critical problem ( α = 1 2 ); in particular their uniqueness, regularity and long time behavior.