The Boltzmann Equation with Time-periodic Boundary Temperature | |
Duan, Renjun3; Wang, Yong1,2![]() | |
刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
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2019 | |
卷号 | 35期号:1页码:174-208 |
关键词 | Boltzmann equation time-periodic boundary time-periodic solutions existence dynamical stability a priori estimates |
ISSN号 | 0168-9673 |
DOI | 10.1007/s10255-019-0803-0 |
英文摘要 | This paper is concerned with the boundary-value problem on the Boltzmann equation in bounded domains with diffuse-reflection boundary where the boundary temperature is time-periodic. We establish the existence of time-periodic solutions with the same period for both hard and soft potentials, provided that the time-periodic boundary temperature is sufficiently close to a stationary one which has small variations around a positive constant. The dynamical stability of time-periodic profiles is also proved under small perturbations, and this in turn yields the non-negativity of the profile. For the proof, we develop new estimates in the time-periodic setting. |
资助项目 | RGC of Hong Kong[14302817] ; CUHK[4053286] ; NSFC[11771429] ; NSFC[11688101] ; NSFC[11671237] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SPRINGER HEIDELBERG |
WOS记录号 | WOS:000459979000008 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34173] ![]() |
专题 | 应用数学研究所 |
通讯作者 | Duan, Renjun |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 3.Chinese Univ Hong Kong, Dept Math, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Duan, Renjun,Wang, Yong,Zhang, Zhu. The Boltzmann Equation with Time-periodic Boundary Temperature[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2019,35(1):174-208. |
APA | Duan, Renjun,Wang, Yong,&Zhang, Zhu.(2019).The Boltzmann Equation with Time-periodic Boundary Temperature.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,35(1),174-208. |
MLA | Duan, Renjun,et al."The Boltzmann Equation with Time-periodic Boundary Temperature".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 35.1(2019):174-208. |
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