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Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms

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Bibliographic Details
Main Authors:	Sebastião Martins Siqueira, Cordeiro, Ducival Carvalho, Pereira, Carlos Alessandro da Costa, Baldez
Format:	Book
Language:	en_US
Published:	Springer 2023
Subjects:	manuscript Faedo–Galerkin’s approximation
Online Access:	https://link.springer.com/article/10.1007/s40065-022-00411-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7424
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spelling	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
score	8.881002

Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms

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