6 papers
Global solutions to the two-dimensional compressible MHD equations with density-dependent bulk viscosity
Yachun Li, Peng Lu, Zhaoyang Shang
We study the two-dimensional periodic resistive compressible magnetohydrodynamic equations with constant shear viscosity and magnetic diffusivity, bulk viscosity , and pressur…
Global strong solutions to the 1D full compressible Navier--Stokes equations with temperature-dependent coefficients and vacuum
Yachun Li, Peng Lu, Zhaoyang Shang
We study the initial--boundary value problem for the one-dimensional full compressible Navier--Stokes system whose viscosity and heat conductivity are given by and $κ(θ…
Global well-posedness and asymptotic behavior of large strong solutions to the 3D full compressible Navier-Stokes equations with temperature-dependent coefficients
Yachun Li, Peng Lu, Zhaoyang Shang
It is well known that the global well-posedness of the Navier-Stokes equations with temperature-dependent coefficients is a challenging problem, especially in multi-dimensional spa…
Global Strong Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Data
Yachun Li, Peng Lu, Zhaoyang Shang
We consider the Cauchy problem to the three-dimensional isentropic compressible Magnetohydrodynamics (MHD) system with density-dependent viscosities. When the initial density is li…
Global Existence and Asymptotic Behavior of Large Strong Solutions to the 3D Full Compressible Navier-Stokes Equations with Density-dependent Viscosities
Yachun Li, Peng Lu, Zhaoyang Shang +1
The purpose of this work is to investigate the Cauchy problem of global-in-time existence of large strong solutions to the Navier-Stokes equations for compressible viscous and heat…
Local existence of classical solutions to the 3D isentropic compressible Navier-Stokes-Poisson equations with degenerate viscosities and vacuum
Peng Lu, Shaojun Yu
We consider the isentropic compressible Navier-Stokes-Poisson equations with degenerate viscousities and vacuum in a three-dimensional torus. The local well-posedness of classical…