THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD
文献类型：期刊论文
| 作者 | Vasseur, Alexis1; Wang, Yi2,3
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2015 |
| 卷号 | 47期号:6页码:4350-4359 |
| 关键词 | contact discontinuity inviscid limit compressible Navier-Stokes-Fourier system relative entropy method |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/15M1023439 |
| 英文摘要 | We consider the zero heat conductivity limit to a contact discontinuity for the mono-dimensional full compressible Navier-Stokes-Fourier system. The method is based on the relative entropy method and does not assume any smallness conditions on the discontinuity nor on the bounded variation norm of the initial data. It is proved that for any viscosity v >= 0, the solution of the compressible Navier-Stokes-Fourier system (with well-prepared initial value) converges, when the heat conductivity kappa tends to zero, to the contact discontinuity solution to the corresponding Euler system. We obtain the decay rate kappa(1/2). It implies that the heat conductivity dominates the dissipation in the regime of the limit to a contact discontinuity. This is the first result, based on the relative entropy, of an asymptotic limit to a discontinuous solution for a system. |
| 资助项目 | NSF[DMS 1209420] ; NSFC[11171326] ; NSFC[11322106] ; Youth Innovation Promotion Association, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000367020000008 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21561]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Yi |
| 作者单位 | 1.Univ Texas Austin, Dept Math, Austin, TX 78712 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Beijing Ctr Math & Informat Sci, Beijing 100048, Peoples R China |
| 推荐引用方式 GB/T 7714 | Vasseur, Alexis,Wang, Yi. THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2015,47(6):4350-4359. |
| APA | Vasseur, Alexis,&Wang, Yi.(2015).THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,47(6),4350-4359. |
| MLA | Vasseur, Alexis,et al."THE INVISCID LIMIT TO A CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES-FOURIER SYSTEM USING THE RELATIVE ENTROPY METHOD".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 47.6(2015):4350-4359. |
入库方式： OAI收割
来源：数学与系统科学研究院
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