Asymptotic behavior toward the combination of contact discontinuity with rarefaction waves for 1-D compressible viscous gas with radiation. (June 2017)

• Record Type: Journal Article
• Authors: Hong, Hakho
• Is Part Of: Nonlinear analysis. Volume 35(2017)
• Page Start: 175
• Page End: 199
• Publication Date: 2017-06
• Subjects: Asymptotic stability -- Compressible radiation hydrodynamics -- Contact discontinuity -- Rarefaction wave -- Composite wave; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.07.005
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is concerned with the large-time behavior toward the combination of two rarefaction waves and viscous contact wave for the Cauchy problem to a one-dimensional Navier–Stokes–Poisson coupled system, modeling the dynamics of a viscous gas in the presence of radiation. We show that the composite wave with small strength is asymptotically stable under partially large initial perturbations. The proofs are based on the more refined energy estimates to control the possible growth of the perturbations induced by two different waves and large data.