Title | Global solutions and exponential time decay rates to the Navier-Stokes-Vlasov-Fokker-Planck system in low regularity space |
Author | |
Corresponding Author | Fan, Yingzhe |
Publication Years | 2023-03-01
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DOI | |
Source Title | |
ISSN | 0022-2488
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EISSN | 1089-7658
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Volume | 64Issue: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
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SUSTech Authorship | First
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Funding Project | National Natural Science Foundation of China[11801285]
; Foundation of Nanyang Normal University[2018ZX014]
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WOS Research Area | Physics
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WOS Subject | Physics, Mathematical
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WOS Accession No | WOS:000952601500001
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Publisher | |
ESI Research Field | PHYSICS
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Data Source | Web of Science
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Citation statistics |
Cited Times [WOS]:0
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Document Type | Journal Article |
Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/524046 |
Department | Department 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 Affilication | Department of Finance |
First Author's First Affilication | Department 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).
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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).
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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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