14 papers
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…
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…
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…
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
The paper proves global existence of classical solutions and analyzes the inviscid limit for a three‑dimensional compressible Navier‑Stokes system coupled with a Vlasov‑Fokker‑Plan…