Incompressible limit of the Navier—Stokes model with a growth term. (November 2017)

• Record Type: Journal Article
• Authors: Vauchelet, Nicolas; Zatorska, Ewelina
• Is Part Of: Nonlinear analysis. Volume 163(2017)
• Page Start: 34
• Page End: 59
• Publication Date: 2017-11
• Subjects: 35Q35 -- 76D05 -- 35B40 -- 92C50; Compressible Navier–Stokes equation -- Asymptotic analysis -- Cell growth models; 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.2017.07.003
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Starting from isentropic compressible Navier–Stokes equations with growth term in the continuity equation, we rigorously justify that performing an incompressible limit one arrives to the two-phase free boundary fluid system.