One Dimensional Viscous Coefficient Is Dependent On The Density Of The Global Well-posedness Of Can Be Pressed Navier - Stokes Equations

In this paper, we study the one-dimensional compressible isentropic Navier-Stokes equations with free boundary condition. We conclude the following re-sults:the existence and uniqueness of the global solutions.In the first chapter, the background of this paper is introduced as well as some important results obtained by the previous studies.In the second chapter, we prove the existence of the global weak solutions for one-dimensional compressible Navier-Stokes equations with free boundary conditions.In In the first chapter, we study the uniqueness of the one-dimensional compressible Navier-Stokes equations.At last, we conclude the paper and explore some open problems about the compressible Navier-Stokes equations.