Well-posedness and stability for a viscoelastic Petrovsky equation with a localized nonlinear damping

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Veuillez utiliser cette adresse pour citer ce document : http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/11475

Titre:	Well-posedness and stability for a viscoelastic Petrovsky equation with a localized nonlinear damping
Auteur(s):	Sabbagh, Zineb Khemmoudj, Ammar Abdelli, Mama
Mots-clés:	Exponential stabilization Faedo–Galerkin Multiplier method Nonlinear localized damping Viscoelastic equation Well-posedness
Date de publication:	2023
Editeur:	Springer
Collection/Numéro:	SeMA Journal/ Vol. 81, N° 2(June 2024 ); PP. 307 - 328
Résumé:	In this paper, we consider a viscoelastic Petrovsky equation with localised nonlinear damping in bounded domain. The nonlinear damping is effective only in a neighborhood of a suitable subset of the boundary. Using the Faedo–Galerkin approximations together with some energy estimates, we prove the global existence of the solutions. Under the same assumptions, exponential decay results of the energy are established via suitable Lyapunov functionals
URI/URL:	http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/11475 https://link.springer.com/article/10.1007/s00289-023-05028-5 https://doi.org/10.1007/s00289-023-05028-5
ISSN:	2254-3902
Collection(s) :	Publications Internationales

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