9 papers
Three-dimensional time-periodic problem on the Boltzmann equation with external force
Renjun Duan, Jinkai Ni
The time-periodic problem on the Boltzmann equation with a given time-periodic external force in the three-dimensional whole space has remained open since it was first studied in […
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…