KMS Of Academy of mathematics and systems sciences, CAS
STABILITY OF PLANAR RAREFACTION WAVE TO TWO-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS | |
Li, Lin-An1,2; Wang, Yi2,3 | |
2018 | |
发表期刊 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
ISSN | 0036-1410 |
卷号 | 50期号:5页码:4937-4963 |
摘要 | It is well known that the rarefaction wave, one of the basic wave patterns of the hyperbolic conservation laws, is nonlinearly stable to the one-dimensional compressible Navier-Stokes equations (cf. [A. Matsumura and K. Nishihara, Japan J. Appl. Math., 3 (1986), pp. 1-13; Comm. Math. Phys., 144 (1992), pp. 325-335; T.-P. Liu and Z. P. Xin, Comm. Math. Phys., 118 (1988), pp. 451-465; K. Nishihara, T. Yang, and H. Zhao, SIAM J. Math. Anal., 35 (2004), pp. 1561-1597]). In the present paper we proved the time-asymptotical nonlinear stability of the planar rarefaction wave to the two-dimensional compressible and isentropic Navier-Stokes equations, which gives the first stability result of the planar rarefaction wave to the multidimensional system with physical viscosities. |
关键词 | planar rarefaction wave stability compressible Navier-Stokes equation |
DOI | 10.1137/18M1171059 |
语种 | 英语 |
资助项目 | NSFC[11671385] ; NSFC[11688101] ; CAS Interdisciplinary Innovation Team |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000448741300010 |
出版者 | SIAM PUBLICATIONS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/31665 |
专题 | 应用数学研究所 |
通讯作者 | Wang, Yi |
作者单位 | 1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, HCMS,CEMS, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Lin-An,Wang, Yi. STABILITY OF PLANAR RAREFACTION WAVE TO TWO-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2018,50(5):4937-4963. |
APA | Li, Lin-An,&Wang, Yi.(2018).STABILITY OF PLANAR RAREFACTION WAVE TO TWO-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,50(5),4937-4963. |
MLA | Li, Lin-An,et al."STABILITY OF PLANAR RAREFACTION WAVE TO TWO-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 50.5(2018):4937-4963. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Li, Lin-An]的文章 |
[Wang, Yi]的文章 |
百度学术 |
百度学术中相似的文章 |
[Li, Lin-An]的文章 |
[Wang, Yi]的文章 |
必应学术 |
必应学术中相似的文章 |
[Li, Lin-An]的文章 |
[Wang, Yi]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论