From the 1 of 11 linked papers with an AI index.
11 papers
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
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…
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…
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…