Wellposedness and long time behavior for a general class of Moore-Gibson-Thompson equations

• Autorzy: Nicaise Serge , Bounadja Hizia
• Języki publikacji: EN

Abstrakty

EN

We consider the well-posedness and the long time behavior of third order in time linear evolution equations, general and abstract version of the Moore-Gibson-Thompson system. We find sufficient but strong conditions that guarantee the exponential decay of the system and present some illustrative examples. Then, by comparing the behavior of the resolvent of the Moore-Gibson-Thompson system with the one of the resolvent of the wave equation with a frictional interior damping, we furnish weaker conditions that guarantee exponential, polynomial or even logarithmic decay of the solution of the Moore-Gibson-Thompson system in a bounded domain of Rⁿ, n ≥ 1.

Słowa kluczowe

EN

third order system; wave equation; stabilization

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2020
• Tom: Vol. 49, No. 3
• Strony: 245--276
• Opis fizyczny: Bibliogr. 38 poz.

Twórcy

autor

Nicaise Serge

• Université polytechnique Hauts-de-France, LAMAV, FR CNRS 2956, F-59313 - Valenciennes Cedex 9 France

autor

Bounadja Hizia

• Université Ferhat Abbas, Sétif, Algérie

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).