中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION

文献类型:期刊论文

作者Wang, Teng1; Wang, Yi2,3
刊名KINETIC AND RELATED MODELS
出版日期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
DOI10.3934/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
WOS记录号WOS:000458734800006
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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