Asymptotic stability of monotone increasing traveling wave solutions for viscous compressible fluid equations with capillarity term

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Zhang, Weiguo¹  Li, Xiang¹  Yong, Yan¹ 

[1] Univ Shanghai Sci & Technol, Sch Sci, Shanghai 200093, Peoples R China

关键词: Fluid equations;    Capillarity;    Monotone traveling wave;    A priori estimate;    Asymptotic stability;   

DOI  :  10.1016/j.jmaa.2015.09.020

来源: Elsevier

【 摘 要 】

Asymptotic stability of monotone increasing traveling wave solutions is investigated for a class of viscous compressible fluid equations with capillarity term. By using the theory of planar dynamical systems, the existence has been proved for the monotone increasing traveling wave solution. Moreover, through building uniformly a priori energy estimate for the perturbation of the traveling wave solution, we prove that the monotone increasing traveling wave solution is asymptotically stable in H-2 x H-1. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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