KMS Of Academy of mathematics and systems sciences, CAS
| Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations | |
Li, Lin-An1,3; Wang, Dehua2; Wang, Yi1,3
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| 2019-09-30 | |
| Source Publication | COMMUNICATIONS IN MATHEMATICAL PHYSICS
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| ISSN | 0010-3616 |
| Pages | 32 |
| Abstract | The vanishing viscosity limit of the two-dimensional (2D) compressible and isentropic Navier-Stokes equations is studied in the case that the corresponding 2D inviscid Euler equations admit a planar rarefaction wave solution. It is proved that there exists a family of smooth solutions for the 2D compressible Navier-Stokes equations converging to the planar rarefaction wave solution with arbitrary strength for the 2D Euler equations. A uniform convergence rate is obtained in terms of the viscosity coefficients away from the initial time. In the proof, the hyperbolic wave is crucially introduced to recover the physical viscosities of the inviscid rarefaction wave profile, in order to rigorously justify the vanishing viscosity limit. |
| DOI | 10.1007/s00220-019-03580-8 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Science Foundation[DMS-1312800] ; National Science Foundation[DMS-1613213] ; NSFC[11671385] ; NSFC[11688101] ; CAS Interdisciplinary Innovation Team |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000496832300001 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50718 |
| Collection | 应用数学研究所 |
| Corresponding Author | Li, Lin-An |
| Affiliation | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Lin-An,Wang, Dehua,Wang, Yi. Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2019:32. |
| APA | Li, Lin-An,Wang, Dehua,&Wang, Yi.(2019).Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations.COMMUNICATIONS IN MATHEMATICAL PHYSICS,32. |
| MLA | Li, Lin-An,et al."Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations".COMMUNICATIONS IN MATHEMATICAL PHYSICS (2019):32. |
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