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

Tan, Lihua1; Fan, Yingzhe2

2023-03-01

10.1063/5.0132586

JOURNAL OF MATHEMATICAL PHYSICS   Impact Factor & Quartile

0022-2488

1089-7658

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

SCI

English

First

National Natural Science Foundation of China[11801285] ; Foundation of Nanyang Normal University[2018ZX014]

Physics

Physics, Mathematical

WOS:000952601500001

AIP Publishing

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Dept Finance, Shenzhen 518055, Peoples R China
2.Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China

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).

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).

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).