Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations
文献类型：期刊论文
| 作者 | Bian, Dong-fen5; Fan, Li-li4; He, Lin3; Zhao, Hui-jiang1,2 |
| 刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| 出版日期 | 2019 |
| 卷号 | 35期号:1页码:129-157 |
| 关键词 | compressible Navier-Stokes equations inflow problem viscous shock wave large density oscillations |
| ISSN号 | 0168-9673 |
| DOI | 10.1007/s10255-019-0801-2 |
| 英文摘要 | This paper is concerned with the inflow problem for one-dimensional compressible Navier-Stokes equations. For such a problem, Huang, Matsumura, and Shi showed in [4] that there exists viscous shock wave solution to the inflow problem and both the boundary layer solution, the viscous shock wave, and their superposition are time-asymptotically nonlinear stable provided that both the initial perturbation and the boundary velocity are assumed to be sufficiently small. The main purpose of this paper is to show that similar stability results still hold for a class of large initial perturbation which can allow the initial density to have large oscillations. The proofs are given by an elementary energy method and our main idea is to use the smallness of the strength of the viscous shock wave and the boundary velocity to control the possible growth of the solutions induced by the nonlinearity of the compressible Navier-Stokes equations and the inflow boundary condition. The key point in our analysis is to deduce the desired uniform positive lower and upper bounds on the density. |
| 资助项目 | National Natural Science Foundation of China[11501028] ; National Natural Science Foundation of China[11871005] ; National Natural Science Foundation of China[11871388] ; National Natural Science Foundation of China[11671309] ; National Natural Science Foundation of China[11731008] ; China Postdoctoral Science Foundation[2015M570938] ; Fundamental Research Funds for the Central Universities |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000459979000006 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34150]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bian, Dong-fen |
| 作者单位 | 1.Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430023, Hubei, Peoples R China 5.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bian, Dong-fen,Fan, Li-li,He, Lin,et al. Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2019,35(1):129-157. |
| APA | Bian, Dong-fen,Fan, Li-li,He, Lin,&Zhao, Hui-jiang.(2019).Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,35(1),129-157. |
| MLA | Bian, Dong-fen,et al."Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 35.1(2019):129-157. |
入库方式： OAI收割
来源：数学与系统科学研究院
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