2 citations · 3 across the 13 of their papers we have counts for
14 papers
Low Mach number limit of a two-phase flow model in
Fucai Li, Jinkai Ni, Zhipeng Zhang +1
We study the simultaneous low Mach number limit of a compressible Navier--Stokes--Euler two-phase system in , in which the pressure terms in both phases are scaled by…
Enhanced stability and asymptotic limits to the non-isentropic compressible fluid-particle interaction model with thermal effects
Fucai Li, Jinkai Ni, Zhouping Xin
In Einstein's seminal work [Ann. Physik, 17 (1905), 549-560], he pointed out that the temperature of a fluid influences the motion of suspended particles dramatically. To describe…
Global well-posedness and inviscid limit of the compressible Navier-Stokes-Vlasov-Fokker-Planck system with density-dependent friction force
Fucai Li, Jinkai Ni, Dehua Wang
This paper investigates the global dynamics of a three-dimensional fluid-particle interaction system that couples the compressible barotropic Navier-Stokes equations with the Vlaso…
Low Mach number limit and optimal time decay rates of the compressible Navier-Stokes-transport system in critical Besov spaces
Fucai Li, Jinkai Ni, Yuzhu Wang
In this paper, we investigate the Navier-Stokes-Transport (NST) system in the framework of Besov spaces. This system contains of a compressible Navier-Stokes system for the density…
Global Hilbert expansion for the ionic Vlasov-Poisson-Boltzmann system
Fucai Li, Yichun Wang
We justify the global-in-time validity of Hilbert expansion for the ionic Vlasov-Poisson-Boltzmann system in , a fundamental model describing ion dynamics in dilute c…
The incompressible inhomogeneous Navier-Stokes-Vlasov-Fokker-Planck equations: global well-posedness and inviscid limit
Fucai Li, Jinkai Ni, Ling-Yun Shou +1
The global well-posedness and inviscid limit are investigated for the fluid-particle interaction system, described by the Navier-Stokes equations for the inhomogeneous incompressib…
Uniform stability and optimal time decay rates of the compressible pressureless Navier-Stokes system in the critical regularity framework
Fucai Li, Jinkai Ni, Zhipeng Zhang
This paper investigates the Cauchy problem for the compressible pressureless Navier-Stokes system in with . Unlike the standard isentropic compressible Nav…
Global strong solutions to a compressible fluid-particle interaction model with density-dependent friction force
Fucai Li, Jinkai Ni, Man Wu
We investigate the Cauchy problem for a fluid-particle interaction model in . This model consists of the compressible barotropic Navier-Stokes equations and the Vlaso…
Global classical solutions to the ionic Vlasov-Poisson-Boltzmann system in a 3D periodic box
Fucai Li, Yichun Wang
We investigate the global well-posedness of the ionic Vlasov-Poisson-Boltzmann system which models the evolution of dilute collisional ions. This system distinguishes the electroni…
Global Fujita-Kato solutions of the incompressible inhomogeneous magnetohydrodynamic equations
Fucai Li, Jinkai Ni, Ling-Yun Shou
We investigate the incompressible inhomogeneous magnetohydrodynamic equations in , under the assumptions that the initial density is only bounded, and the initi…
Global well-posedness and optimal decay rates of classical solutions to the compressible Navier-Stokes-Fourier-P approximation model in radiation hydrodynamics
Peng Jiang, Fucai Li, Jinkai Ni
In this paper, the compressible Navier-Stokes-Fourier- (NSF-) approximation model in radiation hydrodynamics is investigated in the whole space . This model…
Global existence and decay rates of strong solutions to the diffusion approximation model in radiation hydrodynamics
Peng Jiang, Fucai Li, Jinkai Ni
In this paper, we study the global well-posedness and optimal time decay rates of strong solutions to the diffusion approximation model in radiation hydrodynamics in …
Global well-posedness and decay rates of strong solutions to the incompressible Vlasov-MHD system
Fucai Li, Jinkai Ni, Man Wu
In this paper, we study the global well-posedness and decay rates of strong solutions to an incompressible Vlasov-MHD model arising in magnetized plasmas. This model is consist of…
Global existence and time decay of strong solutions to a fluid-particle coupled model with energy exchanges
Fucai Li, Jinkai Ni, Man Wu
In this paper, we investigate a three-dimensional fluid-particle coupled model. % in whole space . This model combines the full compressible Navier-Stokes equations w…