Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s40065-022-00411-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7424 |
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oai:localhost:PNK-74242023-04-03T03:54:57Z Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms Sebastião Martins Siqueira, Cordeiro Ducival Carvalho, Pereira Carlos Alessandro da Costa, Baldez manuscript Faedo–Galerkin’s approximation CC BY This manuscript deals with a Timoshenko system with damping and source. The existence and stability of the solution are analyzed taking into account the competition of the internal damping versus the logarithmic source. We use the potential well theory. For initial data in the stability set created by the Nehari surface, the existence of global solutions is proved using Faedo–Galerkin’s approximation. The exponential decay is given by the Nakao theorem. A numerical approach is presented to illustrate the results obtained. 2023-04-03T03:54:57Z 2023-04-03T03:54:57Z 2022 Book https://link.springer.com/article/10.1007/s40065-022-00411-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7424 en_US application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
en_US |
| topic |
manuscript Faedo–Galerkin’s approximation |
| spellingShingle |
manuscript Faedo–Galerkin’s approximation Sebastião Martins Siqueira, Cordeiro Ducival Carvalho, Pereira Carlos Alessandro da Costa, Baldez Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms |
| description |
CC BY |
| format |
Book |
| author |
Sebastião Martins Siqueira, Cordeiro Ducival Carvalho, Pereira Carlos Alessandro da Costa, Baldez |
| author_facet |
Sebastião Martins Siqueira, Cordeiro Ducival Carvalho, Pereira Carlos Alessandro da Costa, Baldez |
| author_sort |
Sebastião Martins Siqueira, Cordeiro |
| title |
Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms |
| title_short |
Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms |
| title_full |
Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms |
| title_fullStr |
Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms |
| title_full_unstemmed |
Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms |
| title_sort |
global existence and asymptotic behavior for a timoshenko system with internal damping and logarithmic source terms |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s40065-022-00411-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7424 |
| _version_ |
1762184302521483264 |
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8.891695 |