Zero surface tension limit of the free-surface incompressible Euler equations with damping. (April 2018)

• Record Type: Journal Article
• Authors: Lian, Jiali
• Is Part Of: Nonlinear analysis. Volume 169(2018)
• Page Start: 218
• Page End: 241
• Publication Date: 2018-04
• Subjects: 35L60 -- 35Q35 -- 35R35 -- 76B03 -- 76B15; Free boundary problems -- Euler equations -- Zero surface tension limit; 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.2017.12.012
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the free boundary problem for a layer of an incompressible inviscid fluid in a uniform gravitational field, lying above a rigid bottom and below the atmosphere in a horizontally periodic setting. We establish the global-in-time zero surface tension limit of the problem with damping for the small initial data.