  We study the large-time behavior of strong solutions to the one-dimensional,
compressible Navier-Stokes system for a viscous and heat conducting ideal
polytropic gas, when the viscosity is constant and the heat conductivity is
proportional to a positive power of the temperature. Both the specific volume
and the temperature are proved to be bounded from below and above independently
of time. Moreover, it is shown that the global solution is nonlinearly
exponentially stable as time tends to infinity. Note that the conditions
imposed on the initial data are the same as those of the constant heat
conductivity case ([Kazhikhov-Shelukhin. J. Appl. Math. Mech. 41 (1977);
Kazhikhov. Boundary Value Problems for Hydrodynamical Equations, 50 (1981)] and
can be arbitrarily large. Therefore, our result can be regarded as a natural
generalization of the Kazhikhov's ones for the constant heat conductivity case
to the degenerate and nonlinear one.
