Vanishing viscosity in the Navier–Stokes equations of compressible heat-conducting flows with the spherical symmetry. Issue 5 (4th April 2021)

• Record Type: Journal Article
• Authors: Song, Wenjing; Su, Wenhuo
• Is Part Of: Applicable analysis. Volume 100:Issue 5(2021)
• Page Start: 1121
• Page End: 1142
• Publication Date: 2021-04-04
• Subjects: Navier–Stokes equations -- compressible heat-conducting flows -- spherically symmetric -- density-dependent viscosity coefficient -- vanishing viscosity; 76M45 -- 76N10 -- 35L65; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1636967
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we study the limit process as the bulk viscosity goes to zero for global weak solutions to the Navier–Stokes equations of compressible heat-conducting flows with density-dependent viscosity coefficient and general heat conductivity. We prove that the limit of the global solutions is a weak solution of the corresponding system with zero bulk viscosity.