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

Xiuli Lin | Zendy; Fushan Li | Zendy

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

Author(s) -

Xiuli Lin,

Fushan Li

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/419717

Subject(s) - mathematics , infinity , viscoelasticity , nonlinear system , exponential growth , zero (linguistics) , energy (signal processing) , mathematical analysis , exponential function , physics , statistics , quantum mechanics , linguistics , philosophy , thermodynamics

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. © 2012 Xiuli Lin and Fushan Li.

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