Inviscid incompressible limit for compressible micro-polar fluids. (March 2022)

• Record Type: Journal Article
• Authors: Caggio, Matteo
• Is Part Of: Nonlinear analysis. Volume 216(2022)
• Publication Date: 2022-03
• Subjects: Compressible micro-polar fluids -- Low Mach number limit -- Vanishing viscosity; 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.2021.112695
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we study the incompressible inviscid limit for a compressible micro-polar model. We prove that the weak solution of the compressible micro-polar system converges to the solution of the Navier–Stokes equations (Euler equations) in the limit of small Mach number (and vanishing viscosity).