Global stability of Boltzmann equation with large external potential for a class of large oscillation data

doi:10.1016/j.jde.2019.04.016

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	Global stability of Boltzmann equation with large external potential for a class of large oscillation data
	Wang, Guanfa 1,2; Wang, Yong1,2
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2019-09-05
卷号	267 期号:6 页码:3610-3645
关键词	Boltzmann equation Global well-posedness Large-amplitude initial data Large external potential A priori estimate
ISSN号	0022-0396
DOI	10.1016/j.jde.2019.04.016
英文摘要	In this paper, we investigate the stability of Boltzmann equation with large external potential in T-3. For a class of initial data with large oscillations in L-x,v(infinity) around the local Maxwellian, we prove the existence of a global solution to the Boltzmann equation provided the initial perturbation is suitably small in L-2-norm. The large time behavior of the Boltzmann solution with exponential decay rate is also obtained. This seems to be the first result on the perturbation theory of large-amplitude non-constant equilibriums for large-amplitude initial data. (C) 2019 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[11771429] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11671067]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000469446700007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34842]
专题	应用数学研究所
通讯作者	Wang, Guanfa
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Wang, Guanfa,Wang, Yong. Global stability of Boltzmann equation with large external potential for a class of large oscillation data[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,267(6):3610-3645.
APA	Wang, Guanfa,&Wang, Yong.(2019).Global stability of Boltzmann equation with large external potential for a class of large oscillation data.JOURNAL OF DIFFERENTIAL EQUATIONS,267(6),3610-3645.
MLA	Wang, Guanfa,et al."Global stability of Boltzmann equation with large external potential for a class of large oscillation data".JOURNAL OF DIFFERENTIAL EQUATIONS 267.6(2019):3610-3645.