We study the long time behavior of the energy for wave-type equations with time-dependent speed and damping: utt-λ(t)2δu+b(t)ut=0. We investigate the interaction between the speed of propagationλ (t) and the damping coefficient. b(t), showing how to describe the dissipative effect on the energy. We study a class of dissipations for which the equation keeps its hyperbolic structure and properties. © 2012 Elsevier Ltd.
A class of dissipative wave equations with time-dependent speed and damping
D'ABBICCO, MARCELLO;
2013-01-01
Abstract
We study the long time behavior of the energy for wave-type equations with time-dependent speed and damping: utt-λ(t)2δu+b(t)ut=0. We investigate the interaction between the speed of propagationλ (t) and the damping coefficient. b(t), showing how to describe the dissipative effect on the energy. We study a class of dissipations for which the equation keeps its hyperbolic structure and properties. © 2012 Elsevier Ltd.File in questo prodotto:
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