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Stability of Large-Amplitude Viscous Shock Under Periodic Perturbation for 1-d Isentropic Navier-Stokes Equations

文献类型：期刊论文

作者Huang, Feimin1,2; Yuan, Qian1
刊名COMMUNICATIONS IN MATHEMATICAL PHYSICS
出版日期2021-08-26
页码25
ISSN号0010-3616
DOI10.1007/s00220-021-04203-x
英文摘要The stability of solutions under periodic perturbations for both inviscid and viscous conservation laws is an interesting and important problem. In this paper, a large-amplitude viscous shock under space-periodic perturbation for the isentropic Navier-Stokes equations is considered. It is shown that if the initial perturbation around the shock is suitably small and satisfies a zero-mass type condition (2.17), then the solution of the N-S equations tends to the viscous shock with a shift, which is partially determined by the periodic oscillations. In other words, the viscous shock is nonlinearly stable even though the perturbation oscillates at the far fields. The key point is to construct a suitable ansatz ((v) over tilde, (u) over tilde), which carries the same oscillations of the solution (v, u) at the far fields, so that the difference (v - (v) over tilde, u - (u) over tilde) belongs to the H-2(R) space for all t >= 0.
资助项目China Postdoctoral Science Foundation[11371349] ; China Postdoctoral Science Foundation[11688101] ; [2019M660831] ; [2020TQ0345]
WOS研究方向Physics
语种英语
WOS记录号WOS:000689507700001
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59153]  
专题应用数学研究所
博士后
通讯作者Huang, Feimin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Huang, Feimin,Yuan, Qian. Stability of Large-Amplitude Viscous Shock Under Periodic Perturbation for 1-d Isentropic Navier-Stokes Equations[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2021:25.
APA Huang, Feimin,&Yuan, Qian.(2021).Stability of Large-Amplitude Viscous Shock Under Periodic Perturbation for 1-d Isentropic Navier-Stokes Equations.COMMUNICATIONS IN MATHEMATICAL PHYSICS,25.
MLA Huang, Feimin,et al."Stability of Large-Amplitude Viscous Shock Under Periodic Perturbation for 1-d Isentropic Navier-Stokes Equations".COMMUNICATIONS IN MATHEMATICAL PHYSICS (2021):25.

入库方式： OAI收割

来源：数学与系统科学研究院

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