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	NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION
	Wang, Teng1; Wang, Yi2,3
刊名	KINETIC AND RELATED MODELS
	2019-06-01
卷号	12期号:3页码:637-679
关键词	Boltzmann equation planar rarefaction wave time-asymptotic stability
ISSN号	1937-5093
DOI	10.3934/krm.2019025
英文摘要	We investigate the time-asymptotic stability of planar rarefaction wave for the three-dimensional Boltzmann equation, based on the micro-macro decomposition introduced in [24, 22] and our new observations on the underlying wave structures of the equation to overcome the difficulties due to the wave propagation along the transverse directions and its interactions with the planar rarefaction wave. Note that this is the first stability result of planar rarefaction wave for 3D Boltzmann equation, while the corresponding results for the shock and contact discontinuities are still completely open.
资助项目	NSFC[11671385] ; NSFC[11688101] ; NSFC[11601031] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000458734800006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/32579]
专题	应用数学研究所
通讯作者	Wang, Yi
作者单位	1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, CEMS, HCMS,NCMIS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wang, Teng,Wang, Yi. NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION[J]. KINETIC AND RELATED MODELS,2019,12(3):637-679.
APA	Wang, Teng,&Wang, Yi.(2019).NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION.KINETIC AND RELATED MODELS,12(3),637-679.
MLA	Wang, Teng,et al."NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION".KINETIC AND RELATED MODELS 12.3(2019):637-679.

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