Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
We consider the long-time behavior of a nonlinear PDE with a memory term which can be recast in the abstract form
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-05-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2016-0027 |
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doaj-945be3300f954a61a9fd1c746f3683422021-09-06T19:39:54ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2017-05-016212114510.1515/anona-2016-0027Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable densityCavalcanti Marcelo M.0Domingos Cavalcanti Valéria N.1Lasiecka Irena2Webler Claudete M.3Department of Mathematics, State University of Maringá, Maringá - PR, 87020-900, BrazilDepartment of Mathematics, State University of Maringá, Maringá - PR, 87020-900, BrazilDepartment of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA; and IBS, Polish Academy of Sciences, Warsaw, PolandDepartment of Mathematics, State University of Maringá, Maringá - PR, 87020-900, BrazilWe consider the long-time behavior of a nonlinear PDE with a memory term which can be recast in the abstract formhttps://doi.org/10.1515/anona-2016-0027longitudinal wave motionthin rodsviscoelastic dampingintrinsic decay rates35l05 34dxx 35a27 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cavalcanti Marcelo M. Domingos Cavalcanti Valéria N. Lasiecka Irena Webler Claudete M. |
| spellingShingle |
Cavalcanti Marcelo M. Domingos Cavalcanti Valéria N. Lasiecka Irena Webler Claudete M. Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density Advances in Nonlinear Analysis longitudinal wave motion thin rods viscoelastic damping intrinsic decay rates 35l05 34dxx 35a27 |
| author_facet |
Cavalcanti Marcelo M. Domingos Cavalcanti Valéria N. Lasiecka Irena Webler Claudete M. |
| author_sort |
Cavalcanti Marcelo M. |
| title |
Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density |
| title_short |
Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density |
| title_full |
Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density |
| title_fullStr |
Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density |
| title_full_unstemmed |
Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density |
| title_sort |
intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2017-05-01 |
| description |
We consider the long-time behavior of a nonlinear PDE with a memory term which can be recast in the abstract form |
| topic |
longitudinal wave motion thin rods viscoelastic damping intrinsic decay rates 35l05 34dxx 35a27 |
| url |
https://doi.org/10.1515/anona-2016-0027 |
| work_keys_str_mv |
AT cavalcantimarcelom intrinsicdecayratesfortheenergyofanonlinearviscoelasticequationmodelingthevibrationsofthinrodswithvariabledensity AT domingoscavalcantivalerian intrinsicdecayratesfortheenergyofanonlinearviscoelasticequationmodelingthevibrationsofthinrodswithvariabledensity AT lasieckairena intrinsicdecayratesfortheenergyofanonlinearviscoelasticequationmodelingthevibrationsofthinrodswithvariabledensity AT weblerclaudetem intrinsicdecayratesfortheenergyofanonlinearviscoelasticequationmodelingthevibrationsofthinrodswithvariabledensity |
| _version_ |
1717769806625636352 |