3 citations · 3 across the 5 of their papers we have counts for
6 papers
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…
Quantitative estimates of propagation of chaos for multi-species cross-diffusion equations
Yue Li, Yefei Yin, Zhipeng Zhang
In this paper, we prove the quantitative propagation of chaos results that allow us to derive multi-species cross-diffusion equations from moderately interacting stochastic particl…
On Stability and Instability of Gravity Driven Navier-Stokes-Korteweg Model in Two Dimensions
Fei Jiang, Fucai Li, Zhipeng Zhang
Bresch-Desjardins-Gisclon-Sart have derived that the capillarity can slow {down} the growth rate of Rayleigh-Taylor (RT) instability in the capillary fluids based on the linearized…
Convergence towards the population cross-diffusion system from stochastic many-particle system
Yue Li, Li Chen, Zhipeng Zhang
In this paper, we derive rigorously a non-local cross-diffusion system from an interacting stochastic many-particle system in the whole space. The convergence is proved in the sens…
Uniform Regularity and Vanishing Viscosity limit for the chemotaxis-Navier-Stokes system in a 3D bounded domain
Zhipeng Zhang
We investigate the uniform regularity and vanishing viscosity limit for the incompressible chemotaxis-Navier-Stokes system in a smooth bounded domain . It is…
Zero kinematic viscosity-magnetic diffusion limit of the incompressible viscous magnetohydrodynamic equations with Navier boundary conditions
Fucai Li, Zhipeng Zhang
We investigate the zero kinematic viscosity-magnetic diffusion limit of the incompressible viscous magnetohydrodynamic equations with Navier boundary conditions in a smooth bounded…