Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping

Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping

We consider the nonlinear Petrovsky plate model under the presence of long-time memory. Under suitable conditions, we show that the energy functional associated with the equation decays exponentially or polynomially to zero as time goes to infinity.

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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (1), p.82-106-305
Hauptverfasser: Lin, Xiuli, Li, Fushan
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the nonlinear Petrovsky plate model under the presence of long-time memory. Under suitable conditions, we show that the energy functional associated with the equation decays exponentially or polynomially to zero as time goes to infinity.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/419717