  In this paper, the Cauchy problem for the three-dimensional (3-D) full
compressible Navier-Stokes equations (CNS) with zero thermal conductivity is
considered. First, when shear and bulk viscosity coefficients both depend on
the absolute temperature $\theta$ in a power law ($\theta^\nu$ with $\nu>0$) of
Chapman-Enskog, based on some elaborate analysis of this system's intrinsic
singular structures, we identify one class of initial data admitting a
local-in-time regular solution with far field vacuum in terms of the mass
density $\rho$, velocity $u$ and entropy $S$. Furthermore, it is shown that
within its life span of such a regular solution, the velocity stays in an
inhomogeneous Sobolev space, i.e., $u\in H^3(\mathbb{R}^3)$, $S$ has uniformly
finite lower and upper bounds in the whole space, and the laws of conservation
of total mass, momentum and total energy are all satisfied. Note that due to
the appearance of the vacuum, the momentum equations are degenerate both in the
time evolution and viscous stress tensor, and the physical entropy for
polytropic gases behaves singularly, which make the study on corresponding
well-posedness challenging. For proving the existence, we first introduce an
enlarged reformulated structure by considering some new variables, which can
transfer the degeneracies of the full CNS to the possible singularities of some
special source terms related with $S$, and then carry out some singularly
weighted energy estimates carefully designed for this reformulated system.
