Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:448

Article

Ding, Min¹  Kuang, Jie^2,3  Zhang, Yongqian³ 

[1] Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Peoples R China

[2] Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

关键词: Piston problem;    Compressible Euler equations;    Rarefaction wave;    Wave front tracking method;    Interaction of waves;    Asymptotic behavior;   

DOI  :  10.1016/j.jmaa.2016.11.059

来源: Elsevier

【 摘 要 】

In this paper, we study the 1-D piston problem for compressible full Euler equations under the assumptions that the total variation of the initial data and the perturbation of the piston velocity are sufficiently small. By a modified wave front tracking method, we establish the global existence of entropy solutions including a strong rarefaction wave without restriction on the strength. Moreover, we establish the asymptotic behavior of the solutions as t -> infinity. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free