| Contents |
| We consider the Cauchy problem for the one-dimensional Timoshenko
system coupled with heat conduction, wherein the latter is
described by either the Cattaneo law or the Fourier law. We prove
that heat dissipation alone is sufficient to stabilize the system in
both cases, so that additional mechanical damping is unnecessary.
However, the decay of solutions without the mechanical damping
is found to be slower than that with mechanical damping. Furthermore,
in contrast to earlier results, we find
that the Timoshenko Fourier and the Timoshenko Cattaneo systems
have the same decay rate. The rate depends on a certain
number, which is a function of the parameters of the system. |
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