Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model

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• 作者：Qingqing Liu^a ; ^{maqqliu@scut.edu.cn} ; Haiyan Yin^b ; ^{hyyin@hqu.edu.cn}
• 关键词：Micropolar fluid model ; Contact discontinuity ; Stability
• 刊名：Nonlinear Analysis: Theory, Methods & Applications
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：149
• 期：Complete
• 页码：41-55
• 全文大小：691 K
• 卷排序：149

文摘

This paper is concerned with a one-dimensional compressible micropolar fluid model with initial data whose behaviors at far fields x→±∞x→±∞ are different. Motivated by the relationship between micropolar fluid model and Navier–Stokes system, we can prove that the solutions to the one-dimensional compressible micropolar fluid model tend time-asymptotically to a viscous contact wave which is constructed from a contact discontinuity solution of the Riemann problem on Euler system. This result is proved by an elaborate elementary energy estimates.