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Global Well-Posedness of the Boltzmann Equation with Large Amplitude Initial Data

文献类型：期刊论文

作者Duan, Renjun1; Huang, Feimin2,3; Wang, Yong3; Yang, Tong4
刊名ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
出版日期2017-07-01
卷号225期号:1页码:375-424
ISSN号0003-9527
DOI10.1007/s00205-017-1107-2
英文摘要The global well-posedness of the Boltzmann equation with initial data of large amplitude has remained a long-standing open problem. In this paper, by developing a new approach, we prove the global existence and uniqueness of mild solutions to the Boltzmann equation in the whole space or torus for a class of initial data with bounded velocity-weighted norm under some smallness condition on the norm as well as defect mass, energy and entropy so that the initial data allow large amplitude oscillations. Both the hard and soft potentials with angular cut-off are considered, and the large time behavior of solutions in the norm with explicit rates of convergence are also studied.
资助项目General Research Fund from RGC of Hong Kong[14301515] ; National Center for Mathematics and Interdisciplinary Sciences ; AMSS ; CAS ; NSFC[11371349] ; NSFC[11688101] ; National Natural Sciences Foundation of China[11401565] ; General Research Fund of Hong Kong[CityU 11302215]
WOS研究方向Mathematics ; Mechanics
语种英语
WOS记录号WOS:000399214000008
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25230]  
专题应用数学研究所
通讯作者Duan, Renjun
作者单位1.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
4.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式
GB/T 7714		 Duan, Renjun,Huang, Feimin,Wang, Yong,et al. Global Well-Posedness of the Boltzmann Equation with Large Amplitude Initial Data[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2017,225(1):375-424.
APA Duan, Renjun,Huang, Feimin,Wang, Yong,&Yang, Tong.(2017).Global Well-Posedness of the Boltzmann Equation with Large Amplitude Initial Data.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,225(1),375-424.
MLA Duan, Renjun,et al."Global Well-Posedness of the Boltzmann Equation with Large Amplitude Initial Data".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 225.1(2017):375-424.

入库方式： OAI收割

来源：数学与系统科学研究院

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