Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System
文献类型：期刊论文
| 作者 | Kang, Moon-Jin4; Vasseur, Alexis F.3; Wang, Yi1,2
|
| 刊名 | COMMUNICATIONS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 2021-05-08 |
| 页码 | 32 |
| ISSN号 | 0010-3616 |
| DOI | 10.1007/s00220-021-04100-3 |
| 英文摘要 | We prove the stability of a planar contact discontinuity without shear, a family of special discontinuous solutions for the three-dimensional full Euler system, in the class of vanishing dissipation limits of the corresponding Navier-Stokes-Fourier system. We also show that solutions of the Navier-Stokes-Fourier system converge to the planar contact discontinuity when the initial datum converges to the contact discontinuity itself. This implies the uniqueness of the planar contact discontinuity in the class that we are considering. Our results give an answer to the open question, whether the planar contact discontinuity is unique for the multi-D compressible Euler system. Our proof is based on the relative entropy method, together with the theory of a-contraction up to a shift and our new observations on the planar contact discontinuity. |
| 资助项目 | NSF[DMS 1614918] ; NSFC[12090014] ; NSFC[11688101] ; [NRF-2019R1C1C1009355] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000648383500002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58689]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Kang, Moon-Jin |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Univ Texas Austin, Dept Math, Austin, TX 78712 USA 4.Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea |
| 推荐引用方式 GB/T 7714 | Kang, Moon-Jin,Vasseur, Alexis F.,Wang, Yi. Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2021:32. |
| APA | Kang, Moon-Jin,Vasseur, Alexis F.,&Wang, Yi.(2021).Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System.COMMUNICATIONS IN MATHEMATICAL PHYSICS,32. |
| MLA | Kang, Moon-Jin,et al."Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System".COMMUNICATIONS IN MATHEMATICAL PHYSICS (2021):32. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。