Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:468

Article

Zheng, Liyun¹  Chen, Zhengzheng¹  Zhang, Sina¹ 

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China

关键词: Compressible micropolar fluid model;    Viscous contact wave;    Rarefaction waves;    Without viscosity;    Nonlinear stability;   

DOI  :  10.1016/j.jmaa.2018.08.040

来源: Elsevier

【 摘 要 】

We are concerned with the large time behavior of solutions to the Cauchy problem of the one-dimensional compressible micropolar fluid model without viscosity, where the far-field states of the initial data are prescribed to be different. If the corresponding Riemann problem of the compressible Euler system admits a contact discontinuity and two rarefaction waves solutions, we show that for such a non viscous model, the combination of the viscous contact wave with two rarefaction waves is time-asymptotically stable provided that the strength of the composite wave and the initial perturbation are sufficiently small. The proof is given by an elementary L-2 energy method. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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