Inviscid incompressible limits for rotating fluids. (November 2017)

• Record Type: Journal Article
• Authors: Caggio, Matteo; Nečasová, Šárka
• Is Part Of: Nonlinear analysis. Volume 163(2017)
• Page Start: 1
• Page End: 18
• Publication Date: 2017-11
• Subjects: Compressible Navier–Stokes system -- Rotating fluids -- Incompressible limit -- Inviscid 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.2017.07.002
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the inviscid incompressible limits of the rotating compressible Navier–Stokes system for a barotropic fluid. We show that the limit system is represented by the rotating incompressible Euler equation on the whole space.