Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity
Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity
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DOI：
10.1016/j.jmaa.2018.08.040
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发表时间：
2018-06
影响因子：
1.3
通讯作者：
L. Zheng;Zhengzheng Chen;Sina Zhang
中科院分区：
文献类型：
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作者：
L. Zheng;Zhengzheng Chen;Sina Zhang
本文研究了一维无粘性可压缩微极流体模型Cauchy问题解的大时间行为，其中初始数据的远场状态是不同的。如果可压缩Euler方程组的相应Riemann问题存在一个接触间断和两个稀疏波解，我们证明了对于这样一个非粘性模型，只要组合波的强度和初始扰动足够小，粘性接触波和两个稀疏波的组合是时间渐近稳定的.用初等L2能量法给出了证明.
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.