Asymptotic behavior for cylindrically symmetric nonbarotropic flows in exterior domains with large data. (February 2018)

• Record Type: Journal Article
• Authors: Wan, Ling; Wang, Tao
• Is Part Of: Nonlinear analysis. Volume 39(2018)
• Page Start: 93
• Page End: 119
• Publication Date: 2018-02
• Subjects: Compressible Navier–Stokes equations -- Cylindrically symmetric solutions -- Asymptotic behavior -- Large initial data -- Unbounded domains; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.06.006
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We study the initial–boundary value problem for the compressible Navier–Stokes equations describing the cylindrically symmetric motion of a viscous nonbarotropic fluid in the domain exterior to a ball in R 3 . The global solution is proved to exist uniquely and be asymptotically stable as time tends to infinity for large initial data. Moreover, the density and temperature are shown to be bounded from above and below uniformly in both time and space. Our analysis is based on nonlinear energy methods.