Asymptotic Stability of Combination of Contact Discontinuity with Rarefaction Waves for the One-Dimensional Viscous Micropolar Fluid Model  

作　　者：Lishuang Peng 

机构地区：[1]College of Science, University of Shanghai for Science and Technology, Shanghai, China

出　　处：《Journal of Applied Mathematics and Physics》2019年第9期2089-2111,共23页应用数学与应用物理（英文）

摘　　要：In this paper, we consider with the large time behavior of solutions of the Cauchy problem to the one-dimensional compressible micropolar fluid model, where the far field states are prescribed. When the corresponding Riemann problem for the Euler system admits the solution consisting of contact discontinuity and rarefaction waves, it is shown that the combination wave corresponding to the contact discontinuity, with rarefaction waves is asymptotically stable provided that the strength of the combination wave and the initial perturbation are suitably small. This result is proved by using elementary L2-energy methods.In this paper, we consider with the large time behavior of solutions of the Cauchy problem to the one-dimensional compressible micropolar fluid model, where the far field states are prescribed. When the corresponding Riemann problem for the Euler system admits the solution consisting of contact discontinuity and rarefaction waves, it is shown that the combination wave corresponding to the contact discontinuity, with rarefaction waves is asymptotically stable provided that the strength of the combination wave and the initial perturbation are suitably small. This result is proved by using elementary L2-energy methods.

关 键 词：Contact DISCONTINUITY RAREFACTION Waves VISCOUS MICROPOLAR Fluid Model ASYMPTOTIC Stability Energy Estimates 

分 类 号：O1[理学—数学]