Large-time Behavior of Solutions to the Equations of a One-dimensional
Viscous Polytropic Ideal Gas in Unbounded Domains
The large-time behavior of solutions to the initial and
initial boundary value problems for a one-dimensional
viscous polytropic ideal gas in unbounded domains is
investigated. Using a special cut-off function to localize the
problem, we derive a local representation for the specific
volume. With the help of the local representation, and certain
new estimates for the temperature and the stress, and the
weighted energy estimates, we prove that in any bounded interval,
the specific volume is pointwise bounded from below and above
for all $t\geq 0$ and a generalized solution is convergent
as time goes to infinity.
- Available as PostScript
- Large-time behavior of solutions to the equations of a one-dimensional
viscous polytropic ideal gas in unbounded domains
- Song Jiang,
- Publishing information:
- Accepted for publication in: Commun. Math. Phys.
- Submitted by:
December 28 1998.
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Last modified: Mon Dec 28 10:33:47 1998