KMS Of Academy of mathematics and systems sciences, CAS
The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients | |
Li, Mingjie1; Wang, Teng2; Wang, Yi2,3 | |
2015-09-01 | |
发表期刊 | ANALYSIS AND APPLICATIONS |
ISSN | 0219-5305 |
卷号 | 13期号:5页码:555-589 |
摘要 | In this paper, we study the zero dissipation limit of the one-dimensional full compressible Navier-Stokes equations with temperature-dependent viscosity and heat-conduction coefficient. It is proved that given a rarefaction wave with one-side vacuum state to the full compressible Euler equations, we can construct a sequence of solutions to the full compressible Navier-Stokes equations which converge to the above rarefaction wave with vacuum as the viscosity and the heat-conduction coefficient tend to zero. Moreover, the uniform convergence rate is obtained. The main difficulty in our proof lies in the degeneracies of the density, the temperature and the temperature-dependent viscosities at the vacuum region in the zero dissipation limit. |
关键词 | Compressible Navier-Stokes equations temperature-dependent transport coefficients zero dissipation limit rarefaction wave vacuum |
DOI | 10.1142/S0219530514500456 |
语种 | 英语 |
资助项目 | NSFC[11201503] ; NSFC[11171326] ; NSFC[11322106] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000357134400004 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/20273 |
专题 | 应用数学研究所 |
通讯作者 | Wang, Teng |
作者单位 | 1.Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, 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 | Li, Mingjie,Wang, Teng,Wang, Yi. The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients[J]. ANALYSIS AND APPLICATIONS,2015,13(5):555-589. |
APA | Li, Mingjie,Wang, Teng,&Wang, Yi.(2015).The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients.ANALYSIS AND APPLICATIONS,13(5),555-589. |
MLA | Li, Mingjie,et al."The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients".ANALYSIS AND APPLICATIONS 13.5(2015):555-589. |
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