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

文献类型：期刊论文

作者Wang, Yong1,2; Xiao, Changguo3; Zhang, Yinghui3
刊名KINETIC AND RELATED MODELS
出版日期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
DOI10.3934/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
WOS记录号WOS:000885850800001
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60625]  
专题应用数学研究所
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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