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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/419717 |
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| _version_ | 1850235528945860608 |
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| author | Xiuli Lin Fushan Li |
| author_facet | Xiuli Lin Fushan Li |
| author_sort | Xiuli Lin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-18639970c04b4168a97a5f44befd2df6 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-18639970c04b4168a97a5f44befd2df62025-08-20T02:02:13ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/419717419717Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic DampingXiuli Lin0Fushan Li1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaWe 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.http://dx.doi.org/10.1155/2012/419717 |
| spellingShingle | Xiuli Lin Fushan Li Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping Abstract and Applied Analysis |
| title | Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping |
| title_full | Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping |
| title_fullStr | Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping |
| title_full_unstemmed | Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping |
| title_short | Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping |
| title_sort | asymptotic energy estimates for nonlinear petrovsky plate model subject to viscoelastic damping |
| url | http://dx.doi.org/10.1155/2012/419717 |
| work_keys_str_mv | AT xiulilin asymptoticenergyestimatesfornonlinearpetrovskyplatemodelsubjecttoviscoelasticdamping AT fushanli asymptoticenergyestimatesfornonlinearpetrovskyplatemodelsubjecttoviscoelasticdamping |