Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations
文献类型：期刊论文
| 作者 | Liu, Lingjun1; Wang, Danli2,3; Xu, Lingda4,5 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2023-02-15 |
| 卷号 | 346页码:254-276 |
| ISSN号 | 0022-0396 |
| 关键词 | Navier-Stokes equations Composite wave Periodic perturbation |
| DOI | 10.1016/j.jde.2022.11.040 |
| 英文摘要 | Considering the space-periodic perturbations, we prove the time-asymptotic stability of the composite wave of a viscous contact wave and two rarefaction waves for the Cauchy problem of 1-D compressible Navier-Stokes equations in this paper. Perturbations of this kind oscillate in the far field and are not integrable. The key is to construct a suitable ansatz carrying the same oscillation as that of the initial data, but due to the degeneration of contact discontinuity, the construction is more subtle. A novel method for constructing robust ansatzes is presented. It allows the same weight function to be used on different variables and wave patterns while maintaining control over the errors. As a result, it is possible to apply this construction to contact discontinuities and composite waves. Lastly, we demonstrate that the Cauchy problem admits a unique global-in-time solution and the composite wave remains stable under space-periodic perturbations through the energy method. (c) 2022 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000905137400007 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60437]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Danli |
| 作者单位 | 1.Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Tsinghua Univ, Yau Math Sci Ctr, Dept Math, Beijing 100084, Peoples R China 5.Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Lingjun,Wang, Danli,Xu, Lingda. Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2023,346:254-276. |
| APA | Liu, Lingjun,Wang, Danli,&Xu, Lingda.(2023).Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations.JOURNAL OF DIFFERENTIAL EQUATIONS,346,254-276. |
| MLA | Liu, Lingjun,et al."Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations".JOURNAL OF DIFFERENTIAL EQUATIONS 346(2023):254-276. |
入库方式： OAI收割
来源：数学与系统科学研究院
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