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GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY
Wang, Yong1,2; Xiao, Changguo3; Zhang, Yinghui3
2022-07-01
Source PublicationKINETIC AND RELATED MODELS
ISSN1937-5093
Pages45
AbstractIn 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.
KeywordQuantum Boltzmann equation large amplitude initial data global existence fermions bosons large time behavior
DOI10.3934/krm.2022025
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000885850800001
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60626
Collection应用数学研究所
Corresponding AuthorXiao, Changguo
Affiliation1.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
Recommended Citation
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.
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