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NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION
Wang, Teng1; Wang, Yi2,3
2019-06-01
Source PublicationKINETIC AND RELATED MODELS
ISSN1937-5093
Volume12Issue:3Pages:637-679
AbstractWe 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.
KeywordBoltzmann equation planar rarefaction wave time-asymptotic stability
DOI10.3934/krm.2019025
Language英语
Funding ProjectNSFC[11671385] ; NSFC[11688101] ; NSFC[11601031] ; CAS Interdisciplinary Innovation Team
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000458734800006
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32580
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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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