Preprint 2012-016
Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data
Zhong Tan, Tong Yang, Huijiang Zhao and Qingyang Zou
Abstract: This paper is concerned with the construction of global smooth solutions away from vacuum to the Cauchy problem of the one-dimensional compressible Navier–Stokes–Poisson system with large data and density dependent viscosity coefficient and density and temperature dependent heat conductivity coefficient. The proof is based on some detailed analysis on the bounds on the density and temperature functions.