中文版 | English
Title

Global solutions and exponential time decay rates to the Navier-Stokes-Vlasov-Fokker-Planck system in low regularity space

Author
Corresponding AuthorFan, Yingzhe
Publication Years
2023-03-01
DOI
Source Title
ISSN
0022-2488
EISSN
1089-7658
Volume64Issue:3
Abstract
In this paper, we show that the mild solutions to the Navier-Stokes-Vlasov-Fokker-Planck system exist globally in time near a global Maxwellian, provided that we take small-amplitude initial data in the function space (LkLT infinity)-L-1 L-v(2). As a product, we also get the exponential time decay rates for the solutions. Our analysis relies on the refined energy estimates and the low regularity function space (LkLTLv2)-L-1-L-infinity introduced by the work in Duan et al. [Commun. Pure Appl. Math. 74(5), 932-1020 (2021)].Published under an exclusive license by AIP Publishing. https://doi.org/10.1063/5.0132586
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
First
Funding Project
National Natural Science Foundation of China[11801285] ; Foundation of Nanyang Normal University[2018ZX014]
WOS Research Area
Physics
WOS Subject
Physics, Mathematical
WOS Accession No
WOS:000952601500001
Publisher
ESI Research Field
PHYSICS
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/524046
DepartmentDepartment of Finance
Affiliation
1.Southern Univ Sci & Technol, Dept Finance, Shenzhen 518055, Peoples R China
2.Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China
First Author AffilicationDepartment of Finance
First Author's First AffilicationDepartment of Finance
Recommended Citation
GB/T 7714
Tan, Lihua,Fan, Yingzhe. Global solutions and exponential time decay rates to the Navier-Stokes-Vlasov-Fokker-Planck system in low regularity space[J]. JOURNAL OF MATHEMATICAL PHYSICS,2023,64(3).
APA
Tan, Lihua,&Fan, Yingzhe.(2023).Global solutions and exponential time decay rates to the Navier-Stokes-Vlasov-Fokker-Planck system in low regularity space.JOURNAL OF MATHEMATICAL PHYSICS,64(3).
MLA
Tan, Lihua,et al."Global solutions and exponential time decay rates to the Navier-Stokes-Vlasov-Fokker-Planck system in low regularity space".JOURNAL OF MATHEMATICAL PHYSICS 64.3(2023).
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