Exact controllability for nonlinear thermoviscoelastic plate problem
Abstract: In this article, we consider a problem of exact controllability in the processes described by a nonlinear damped thermoviscoelastic plate. First, we prove the global well-posedness result for the nonlinear functions that are continuous with respect to time and globally Lipschitz with respect to space variable. Next, we perform a spectral analysis of the linear and uncontrolled problem. Then, we prove that the corresponding solutions decay exponentially to zero at a rate determined explicitly by the physical constants. Finally, we prove the exact controllability of the linear and the nonlinear problems by proving that the corresponding controllability mappings are surjective.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Exact controllability for nonlinear thermoviscoelastic plate problem ; volume:57 ; number:1 ; year:2024 ; extent:24
Demonstratio mathematica ; 57, Heft 1 (2024) (gesamt 24)
- Creator
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Moulahi, Taoufik
Aouadi, Moncef
Althobaiti, Saad
- DOI
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10.1515/dema-2024-0071
- URN
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urn:nbn:de:101:1-2411281503031.945176835691
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:36 AM CEST
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Associated
- Moulahi, Taoufik
- Aouadi, Moncef
- Althobaiti, Saad
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