activity
20092023
most citedIncompressible limit of the compressible magnetohydrodynamic equations with vanishing viscosity coefficients

176 citations · 384 across the 23 of their papers we have counts for

collaborators

25 papers

math.AP2023

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…

math.AP2022

The combined non-equilibrium diffusion and low Mach number limits of the compressible Navier-Stokes-Fourier-P1 approximation radiation model

Fucai Li, Shuxing Zhang

In this paper, we investigate the combined non-equilibrium diffusion and low Mach number limits of the compressible Navier-Stokes-Fourier-P1 (NSF-P1) model with general initial dat…

math.AP2022★ 1 cited

Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system

Li Chen, Fucai Li, Yue Li +1

We consider the compressible Vlasov-Poisson-Fokker-Planck-Navier-Stokes system in a three dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The system d…

math.AP2021★ 5 cited

Global strong solutions to the Vlasov-Poisson-Boltzmann system with soft potential in a bounded domain

Fucai Li, Yichun Wang

Boundary effects are crucial for dynamics of dilute charged gases governed by the Vlasov-Poisson-Boltzmann (VPB) system. In this paper, we study the existence and regularity of sol…

math.AP2021

Dissipative solutions to the compressible isentropic Navier-Stokes equations

Liang Guo, Fucai Li, Cheng Yu

The existence of dissipative solutions to the compressible isentropic Navier-Stokes equations was established in this paper. This notion was inspired by the concept of dissipative…

math.AP2019★ 6 cited

Incompressible limit of the Ericksen-Leslie hyperbolic liquid crystal model in compressible flow

Liang Guo, Ning Jiang, Fucai Li +2

Ericksen and Leslie proposed a hydrodynamic model for liquid crystals in the format of conservation laws in the 1960s. Their original model includes inertial and compressibility ef…