Global well-posedness for the full compressible Navier-Stokes equations
  In this paper, we mainly study the Cauchy problem for the full compressible Navier-Stokes equations in Sobolev spaces. We establish the global well-posedness of the equations with small initial data by using Friedrich's method and compactness arguments. 
Jinlu Li, Xiaoping Zhai, Zhaoyang Yin
math.AP