Large-time behavior of solutions to the equations of a viscous heat-conducting flow with shear viscosity in unbounded domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:436

Article

Wan, Ling¹  Wang, Tao¹ 

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

关键词: Large initial data;    Shear viscosity;    Asymptotically stable;    Unbounded domains;   

DOI  :  10.1016/j.jmaa.2015.11.062

来源: Elsevier

【 摘 要 】

We consider the initial and initial boundary value problems for a viscous heat conducting flow with shear viscosity in unbounded domains with general large initial data. We prove that the temperature is bounded from below and above uniformly in time and space and that the global solution is asymptotically stable as the time tends to infinity. Our approach relies upon the energy-estimate method. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free