2 citations · 3 across the 17 of their papers we have counts for
19 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…
Low Mach number limit of the compressible Euler--Vlasov--Fokker--Planck system in the whole space
Fucai Li, Jinkai Ni, Zhipeng Zhang
Although there are many important contributions on compressible and incompressible fluid-particle interaction models respectively, how to connect the two-type fluid-particle models…
Low Mach number limit for the Navier--Stokes--Korteweg equations with a stationary force
Jinkai Ni, Luqi Wang, Yichi Zhang +1
In this paper, we investigate the low Mach number limit for the three-dimensional compressible Navier--Stokes--Korteweg equations in the whole space under a small stationary extern…
Time-periodic solutions of the Vlasov-Poisson-Boltzmann system with a general external force in
Renjun Duan, Jinkai Ni
In this paper, we study the time-periodic problem for the Vlasov-Poisson-Boltzmann (VPB) system with a given time-periodic external force in the whole space . The for…
Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large initial data
Jinkai Ni, Luqi Wang, Zhipeng Zhang
We study the Cauchy problem for the three-dimensional barotropic compressible Navier--Stokes equations with a time-independent potential force near a spatially nonconstant stationa…
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…
Modified compensating functions for the incompressible Euler--Vlasov--Fokker--Planck system: Global classical solutions and pointwise-in-space decay
Jinkai Ni
We consider the Cauchy problem for the incompressible Euler-Vlasov-Fokker-Planck (Euler-VFP) system in the whole space \(\mathbb R^3\) near the global Maxwellian equilibrium. The F…
High Mach number limit of the compressible Navier--Stokes equations in critical Besov spaces
Jinkai Ni, Zhipeng Zhang
We investigate the high Mach number limit for the scaled compressible Navier--Stokes system in the critical Besov framework. In the scaled momentum equation, the pressure force is…
Three-dimensional time-periodic problem on the Boltzmann equation with external force
Renjun Duan, Jinkai Ni
The time-periodic problem for the Boltzmann equation with a prescribed time-periodic external force in the three-dimensional whole space has remained open since it was first treate…
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…
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 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…