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Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect

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dc.citedby2
dc.contributor.authorChoucha A.en_US
dc.contributor.authorSaad S.A.A.en_US
dc.contributor.authorJan R.en_US
dc.contributor.authorBoulaaras S.en_US
dc.contributor.authorid57216493937en_US
dc.contributor.authorid58342993500en_US
dc.contributor.authorid57205596279en_US
dc.contributor.authorid36994353700en_US
dc.date.accessioned2024-10-14T03:17:21Z
dc.date.available2024-10-14T03:17:21Z
dc.date.issued2023
dc.description.abstractIn this work, we deal with a one-dimensional Cauchy problem in Timoshenko system with temperature and microtemperature effect. The heat conduction is given by the theory of Lord�Shulman. We prove that the dissipation induced by the coupling of the Timoshenko system with the heat conduction of Lord�Shulman�s theory alone is strong enough to stabilize the system, but with slow decay rate. To show our result, we transform our system into a first order system and, applying the energy method in the Fourier space, we establish some pointwise estimates of the Fourier image of the solution. Using those pointwise estimates, we prove the decay estimates of the solution and show that those decay estimates are very slow, we prove our main result under suitable assumption. � 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.en_US
dc.description.natureFinalen_US
dc.identifier.ArtNo65
dc.identifier.doi10.1007/s11868-023-00561-3
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85173652363
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85173652363&doi=10.1007%2fs11868-023-00561-3&partnerID=40&md5=60e1dfd2c9e27936875a1d28123c014e
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/33857
dc.identifier.volume14
dc.publisherBirkhauseren_US
dc.sourceScopus
dc.sourcetitleJournal of Pseudo-Differential Operators and Applications
dc.subjectDecay rate
dc.subjectFourier transform
dc.subjectLord�Shulman
dc.subjectMathematical operators
dc.subjectMicrotemperature damping
dc.subjectPartial differential equations
dc.subjectThermoelasticity
dc.titleDecay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effecten_US
dc.typeArticleen_US
dspace.entity.typePublication
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