The present work describes a method for studying the spatial and temporal behaviour of the dynamic processes in porous elastic mixtures taking into account memory effects for the intrinsic equilibrated body forces. The method is based on a set of properties for an appropriate time-weighted surface power function associated with the process at issue. We get the domain of influence and the spatial decay estimates with time-independent decay rate inside the domain of influence. We establish the spatial decay estimates with time-independent decay rate for the interior of the domain of influence. Using the Cesaro means associated a with the kinetic and strain energies, we establish the asymptotic partition of the total energy.
Some results in the dynamics of porous elastic mixtures
CIARLETTA, Michele;PASSARELLA, Francesca
2003-01-01
Abstract
The present work describes a method for studying the spatial and temporal behaviour of the dynamic processes in porous elastic mixtures taking into account memory effects for the intrinsic equilibrated body forces. The method is based on a set of properties for an appropriate time-weighted surface power function associated with the process at issue. We get the domain of influence and the spatial decay estimates with time-independent decay rate inside the domain of influence. We establish the spatial decay estimates with time-independent decay rate for the interior of the domain of influence. Using the Cesaro means associated a with the kinetic and strain energies, we establish the asymptotic partition of the total energy.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
