Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half-space

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Wan, Ling¹  Wang, Tao¹  Zhao, Huijiang² 

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Computat Sci Hubei Key Lab, Wuhan 430072, Peoples R China

关键词: Compressible Navier-Stokes equations;    Rarefaction wave;    Stationary solution;    Stability;    Large initial perturbation;   

DOI  :  10.1016/j.jde.2016.08.032

来源: Elsevier

【 摘 要 】

We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conducting ideal polytropic gas in the one-dimensional half-space. A rarefaction wave and its superposition with a non-degenerate stationary solution are shown to be asymptotically stable for the outflow problem with large initial perturbation and general adiabatic exponent. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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