We consider a one-dimensional wave equation with time-dependent coefficients which is proposed as a model for heat conduction of Cattaneo type with thermal resistance decreasing in time. Within the theory of processes on time-dependent spaces, we prove the existence of an invariant time-dependent attractor, which converges in a suitable sense to the attractor of the classical Fourier equationformally arising in the limit as time goes to infinity.
On the time-dependent Cattaneo law in space dimension one
CONTI, MONICA;PATA, VITTORINO
2015-01-01
Abstract
We consider a one-dimensional wave equation with time-dependent coefficients which is proposed as a model for heat conduction of Cattaneo type with thermal resistance decreasing in time. Within the theory of processes on time-dependent spaces, we prove the existence of an invariant time-dependent attractor, which converges in a suitable sense to the attractor of the classical Fourier equationformally arising in the limit as time goes to infinity.File in questo prodotto:
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