KMS Of Academy of mathematics and systems sciences, CAS
Global stability of Boltzmann equation with large external potential for a class of large oscillation data | |
Wang, Guanfa1,2; Wang, Yong1,2 | |
2019-09-05 | |
发表期刊 | JOURNAL OF DIFFERENTIAL EQUATIONS |
ISSN | 0022-0396 |
卷号 | 267期号:6页码:3610-3645 |
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. |
关键词 | Boltzmann equation Global well-posedness Large-amplitude initial data Large external potential A priori estimate |
DOI | 10.1016/j.jde.2019.04.016 |
语种 | 英语 |
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 |
WOS类目 | Mathematics |
WOS记录号 | WOS:000469446700007 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34843 |
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. |
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