General decay of solutions of a Bresse system with viscoelastic boundary conditions

Ammar Khemmoudj; Taklit Hamadouche

doi:10.3934/dcds.2017209

Article Contents

2017, Volume 37, Issue 9: 4857-4876. Doi: 10.3934/dcds.2017209

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General decay of solutions of a Bresse system with viscoelastic boundary conditions

Ammar Khemmoudj^, and
Taklit Hamadouche

Faculty of Mathematics, University of Sciences and Technology Houari Boumedienne, P.O. Box 32, El-Alia 16111, Bab Ezzouar, Algiers, Algeria

* Corresponding author: Ammar Khemmoudj
* Corresponding author: Ammar Khemmoudj

Received: May 31, 2016

Revised: March 31, 2017

Published: October 2017

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Abstract

In this paper we are concerned with a multi-dimensional Bresse system, in a bounded domain, where the memory-type damping is acting on a portion of the boundary. We establish a general decay results, from which the usual exponential and polynomial decay rates are only special cases.

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Mathematics Subject Classification: Primary: 35B35, 35D10, 35D30, 35B40, 35L70, 35L20, 35P05.

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