GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY

CSpace > 应用数学研究所

	GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY
	Qin, Xiaohong 1; Wang, Teng 2; Wang, Yi3
	2016-07-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	36 期号:4 页码:1192-1214
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.
关键词	Compressible Navier-Stokes system free boundary combination of viscous contact and rarefaction wave nonlinear stability
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000381529900010
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23333
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.