NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION

doi:10.3934/krm.2019025

CSpace > 应用数学研究所

	NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION
	Wang, Teng 1; Wang, Yi2,3
	2019-06-01
发表期刊	KINETIC AND RELATED MODELS
ISSN	1937-5093
卷号	12 期号:3 页码:637-679
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.
关键词	Boltzmann equation planar rarefaction wave time-asymptotic stability
DOI	10.3934/krm.2019025
语种	英语
资助项目	NSFC[11671385] ; NSFC[11688101] ; NSFC[11601031] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000458734800006
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32580
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.