Blowup criteria for strong solutions to the compressible Navier–Stokes equations with variable viscosity. (June 2016)

• Record Type: Journal Article
• Authors: Cai, Xiaoyun; Sun, Yongzhong
• Is Part Of: Nonlinear analysis. Volume 29(2016)
• Page Start: 1
• Page End: 18
• Publication Date: 2016-06
• Subjects: Navier–Stokes–Fourier system -- Isentropic Navier–Stokes equations -- Variable coefficients -- Strong solutions -- Blow-up criteria; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.10.007
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: For the compressible Navier–Stokes equations with viscosity and heat conductivity coefficients possibly depending on the density or temperature, several blowup criteria are given to the local-in-time strong solutions. The proof is based on energy methods together with elliptic and parabolic estimates adopted to the present situation.