Global existence and polynomial decay for a problem with balakrishnan-taylor damping

Abderrahmane Zaraï; Nasser Eddine Tatar

Global existence and polynomial decay for a problem with balakrishnan-taylor damping

Abderrahmane Zaraï^*, Nasser Eddine Tatar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

A viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping is considered. Using integral inequalities and multiplier techniques we establish polynomial decay estimates for the energy of the problem. The results obtained in this paper extend previous results by Tatar and Zaraï [25].

Original language	English
Pages (from-to)	157-176
Number of pages	20
Journal	Archivum Mathematicum
Volume	46
Issue number	3
State	Published - 2010

Keywords

Balakrishnan-Taylor damping
Memory term
Polynomial decay
Viscoelasticity

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Global existence and polynomial decay for a problem with balakrishnan-taylor damping",

abstract = "A viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping is considered. Using integral inequalities and multiplier techniques we establish polynomial decay estimates for the energy of the problem. The results obtained in this paper extend previous results by Tatar and Zara{\"i} [25].",

keywords = "Balakrishnan-Taylor damping, Memory term, Polynomial decay, Viscoelasticity",

author = "Abderrahmane Zara{\"i} and Tatar, \{Nasser Eddine\}",

year = "2010",

language = "English",

volume = "46",

pages = "157--176",

journal = "Archivum Mathematicum",

issn = "0044-8753",

publisher = "Masaryk University",

number = "3",

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TY - JOUR

T1 - Global existence and polynomial decay for a problem with balakrishnan-taylor damping

AU - Zaraï, Abderrahmane

AU - Tatar, Nasser Eddine

PY - 2010

Y1 - 2010

N2 - A viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping is considered. Using integral inequalities and multiplier techniques we establish polynomial decay estimates for the energy of the problem. The results obtained in this paper extend previous results by Tatar and Zaraï [25].

AB - A viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping is considered. Using integral inequalities and multiplier techniques we establish polynomial decay estimates for the energy of the problem. The results obtained in this paper extend previous results by Tatar and Zaraï [25].

KW - Balakrishnan-Taylor damping

KW - Memory term

KW - Polynomial decay

KW - Viscoelasticity

UR - https://www.scopus.com/pages/publications/78249290287

M3 - Article

AN - SCOPUS:78249290287

SN - 0044-8753

VL - 46

SP - 157

EP - 176

JO - Archivum Mathematicum

JF - Archivum Mathematicum

IS - 3

ER -

Global existence and polynomial decay for a problem with balakrishnan-taylor damping

Abstract

Keywords

ASJC Scopus subject areas

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