A blow-up criterion for the inhomogeneous incompressible Euler equations. (July 2020)

• Record Type: Journal Article
• Authors: Bae, Hantaek; Lee, Woojae; Shin, Jaeyong
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: primary 35Q35 -- secondary 35A01 35B44; Inhomogeneous Euler equations -- Local well-posedness -- Blow-up criterion; 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.2020.111774
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we first show the existence of local-in-time solutions the inhomogeneous incompressible Euler equations in R 3 . We then derive a refined blow-up criterion of these solutions.