GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY

doi:10.3934/krm.2022025

	GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY
	Wang, Yong 1,2; Xiao, Changguo 3; Zhang, Yinghui 3
刊名	KINETIC AND RELATED MODELS
	2022-07-01
页码	45
关键词	Quantum Boltzmann equation large amplitude initial data global existence fermions bosons large time behavior
ISSN号	1937-5093
DOI	10.3934/krm.2022025
英文摘要	In this paper, we study the global well-posedness of the non relativistic quantum Boltzmann equation with initial data of small relative entropy . For a class of initial data which are allowed to have arbitrary bounded amplitude and even contain vacuum, we establish the global existence and uniqueness of the mild solutions to the quantum Boltzmann equation in the torus x is an element of T-3. The exponential time decay rate is also obtained in the L-x,v(infinity)- norm.
资助项目	National Nat- ural Science Foundation of China[12022114] ; Youth Innovation Promo- tion Association of Chinese Academy of Sciences[2019002] ; Key Laboratory of Mathematical and Statistical Model (Guangxi Normal University) , Education Department of Guangxi Zhuang Autonomous Region[2019JJG110003] ; Key Laboratory of Mathematical and Statistical Model (Guangxi Normal University) , Education Department of Guangxi Zhuang Autonomous Region[2019AC20214] ; Guangxi Natural Science Foundation
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000885850800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60625]
专题	中国科学院数学与系统科学研究院
通讯作者	Xiao, Changguo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Guangxi Normal Univ Guilin, Sch Math & Stat, Guangxi 541004, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yong,Xiao, Changguo,Zhang, Yinghui. GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY[J]. KINETIC AND RELATED MODELS,2022:45.
APA	Wang, Yong,Xiao, Changguo,&Zhang, Yinghui.(2022).GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY.KINETIC AND RELATED MODELS,45.
MLA	Wang, Yong,et al."GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY".KINETIC AND RELATED MODELS (2022):45.