On a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions-Reference-Cited by-同舟云学术

On a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions

Published:2024-03-15 Issue:1 Volume:69 Page:171-182
ISSN:0252-1938
Container-title:Studia Universitatis Babes-Bolyai Matematica
language:
Short-container-title:Stud. Univ. Babes-Bolyai Math.

Author:

,Limam Abdelaziz,Benabderrahmane Benyattou^ORCID, ,Boukhatem Yamna^ORCID,

Abstract

This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary. The semigroup theory is used to show the well-posedness and regularity of the initial and boundary value problem. Moreover, we investigate exponential stability of the system taking into account Gearhart-Prüss’s theorem. Mathematics Subject Classification (2010): 35A01, 74B05, 93D15. Received 11 June 2021; Accepted 13 October 2021

Publisher

Babes-Bolyai University Cluj-Napoca

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