Global weak large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity

Abstract

Using the method of a series of priori estimates and a new entropy estimate, global weak large solutions to ID compressible Navier-Stokes equations with density-dependent viscosity is studied. The existence of a global weak solution is obtained under the assumption of the initial density has a lower bound. The method has a great improve of others papers.