4 papers
Local classical solutions to Navier-Stokes equations with degenerate viscosities and vacuum
Yachun Li, Shaojun Yu
We consider the 3D isentropic compressible Navier-Stokes equations with degenerate viscousities and vacuum. The degenerate viscosities and are proportional to some po…
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…
On blow-up to the one-dimensional Navier-Stokes equations with degenerate viscosity and vacuum
Yue Cao, Yachun Li, Shaojun Yu
In this paper, we consider the Cauchy problem of the isentropic compressible Navier-Stokes equations with degenerate viscosity and vacuum in , where the viscosity depen…