On blow-up to the one-dimensional Navier-Stokes equations with
degenerate viscosity and vacuum
On blow-up to the one-dimensional Navier-Stokes equations with
degenerate viscosity and vacuum
In this paper, we consider the Cauchy problem of the isentropic compressible Navier-Stokes equations with degenerate viscosity and vacuum in $\mathbb{R}$, where the viscosity depends on the density in a super-linear power law(i.e., $\mu(\rho)=\rho^\delta, \delta>1$). We first obtain the local existence of the regular solution, then show that the regular …