GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY | |
Qin, Xiaohong1; Wang, Teng2; Wang, Yi3 | |
刊名 | ACTA MATHEMATICA SCIENTIA |
2016-07-01 | |
卷号 | 36期号:4页码:1192-1214 |
关键词 | Compressible Navier-Stokes system free boundary combination of viscous contact and rarefaction wave nonlinear stability |
ISSN号 | 0252-9602 |
英文摘要 | In this article, we investigate the global stability of the wave patterns with the superposition of viscous contact wave and rarefaction wave for the one-dimensional compressible Navier-Stokes equations with a free boundary. It is shown that for the ideal polytropic gas, the superposition of the viscous contact wave with rarefaction wave is nonlinearly stable for the free boundary problem under the large initial perturbations for any gamma > 1 with gamma being the adiabatic exponent provided that the wave strength is suitably small. |
资助项目 | NSFC[11171153] ; NSFC[11322106] ; Fundamental Research Funds for the Central Universities[2015ZCQ-LY-01] ; Fundamental Research Funds for the Central Universities[BLX2015-27] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000381529900010 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23332] |
专题 | 应用数学研究所 |
通讯作者 | Wang, Yi |
作者单位 | 1.Nanjing Univ Sci & Technol, Dept Math, Nanjing 210094, Jiangsu, Peoples R China 2.Beijing Forestry Univ, Sch Sci, Dept Math, Beijing 100083, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Qin, Xiaohong,Wang, Teng,Wang, Yi. GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY[J]. ACTA MATHEMATICA SCIENTIA,2016,36(4):1192-1214. |
APA | Qin, Xiaohong,Wang, Teng,&Wang, Yi.(2016).GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY.ACTA MATHEMATICA SCIENTIA,36(4),1192-1214. |
MLA | Qin, Xiaohong,et al."GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY".ACTA MATHEMATICA SCIENTIA 36.4(2016):1192-1214. |
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