theboltzmannequationwithtimeperiodicboundarytemperature

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	theboltzmannequationwithtimeperiodicboundarytemperature
	Renjun DUAN 1; Yong WANG2 ; Zhu ZHANG 1
	2019-01-01
发表期刊	应用数学学报英文版
ISSN	0168-9673
卷号	000 期号:001 页码:174
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.
语种	英语
资助项目	[RGC of Hong Kong] ; [CUHK] ; [NSFC]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/38451
专题	应用数学研究所
作者单位	1.Department of Mathematics,The Chinese University of Hong Kong,Hong Kong 2.中国科学院数学与系统科学研究院 3.中国科学院大学
推荐引用方式 GB/T 7714	Renjun DUAN,Yong WANG,Zhu ZHANG. theboltzmannequationwithtimeperiodicboundarytemperature[J]. 应用数学学报英文版,2019,000(001):174.
APA	Renjun DUAN,Yong WANG,&Zhu ZHANG.(2019).theboltzmannequationwithtimeperiodicboundarytemperature.应用数学学报英文版,000(001),174.
MLA	Renjun DUAN,et al."theboltzmannequationwithtimeperiodicboundarytemperature".应用数学学报英文版 000.001(2019):174.