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

doi:10.1007/s00205-017-1107-2

CSpace > 应用数学研究所

	Global Well-Posedness of the Boltzmann Equation with Large Amplitude Initial Data
	Duan, Renjun 1; Huang, Feimin2,3 ; Wang, Yong3 ; Yang, Tong 4
	2017-07-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	225 期号:1 页码:375-424
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.
DOI	10.1007/s00205-017-1107-2
语种	英语
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
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000399214000008
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25231
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.