Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity
Articolo
Data di Pubblicazione:
2002
Abstract:
We show that the solution of a semilinear transmission problem between
an elastic
and a thermoelastic material,
decays exponentially to zero.
That is, denoting by $E(t)$ the first order energy
associated to the system,
we show that exist positive constants $C,$ and $\gamma$ satisfying:
$$
E(t)\leq CE(0)e^{-\gamma t}.
$$
Moreover, the existence of absorbing sets and of an attractor is
achieved in the non-homogeneous case.
an elastic
and a thermoelastic material,
decays exponentially to zero.
That is, denoting by $E(t)$ the first order energy
associated to the system,
we show that exist positive constants $C,$ and $\gamma$ satisfying:
$$
E(t)\leq CE(0)e^{-\gamma t}.
$$
Moreover, the existence of absorbing sets and of an attractor is
achieved in the non-homogeneous case.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
Transmission problem; Thermoelasticity; Exponential decay; Simultaneous stabilization; Asymptotic behaviour; Absorbing set
Elenco autori:
Marzocchi, A.; Naso, MARIA GRAZIA; MUÑOZ RIVERA, J. E.
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