Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data

Quansen Jiu, Mingjie Li, Yulin Ye

In this paper, we prove that the 1D Cauchy problem of the compressible Navier-Stokes equations admits a unique global classical solution $(\rho ,\mathrm{u})$ if the viscosity $\mu (\rho )=1+{\rho }^{\beta }$ w…