Uniform boundedness and stability for a viscoelastic problem

Khaled M. Furati; Nasser Eddine Tatar

doi:10.1016/j.amc.2004.08.036

Uniform boundedness and stability for a viscoelastic problem

Khaled M. Furati, Nasser Eddine Tatar^*

^*Corresponding author for this work

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

14 Scopus citations

Abstract

In this paper we consider the following integro-differential problem which appears in viscoelasticityutρutt-Δu-Δutt+∫0tgt-τΔu(τ) dτ-γΔut=0on a bounded domain Ω with Dirichlet boundary condition and initial values. We prove an exponential decay result under different sufficient conditions on the relaxation function than the "standard" ones.

Original language	English
Pages (from-to)	1211-1220
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	167
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2004.08.036
State	Published - 15 Aug 2005

Bibliographical note

Funding Information:
The authors are grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals.

Keywords

Exponential decay
Memory term
Multiplier technique
Viscoelastic problem

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2004.08.036

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title = "Uniform boundedness and stability for a viscoelastic problem",

abstract = "In this paper we consider the following integro-differential problem which appears in viscoelasticityutρutt-Δu-Δutt+∫0tgt-τΔu(τ) dτ-γΔut=0on a bounded domain Ω with Dirichlet boundary condition and initial values. We prove an exponential decay result under different sufficient conditions on the relaxation function than the {"}standard{"} ones.",

keywords = "Exponential decay, Memory term, Multiplier technique, Viscoelastic problem",

author = "Furati, \{Khaled M.\} and Tatar, \{Nasser Eddine\}",

note = "Funding Information: The authors are grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals. ",

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TY - JOUR

T1 - Uniform boundedness and stability for a viscoelastic problem

AU - Furati, Khaled M.

AU - Tatar, Nasser Eddine

N1 - Funding Information: The authors are grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals.

PY - 2005/8/15

Y1 - 2005/8/15

N2 - In this paper we consider the following integro-differential problem which appears in viscoelasticityutρutt-Δu-Δutt+∫0tgt-τΔu(τ) dτ-γΔut=0on a bounded domain Ω with Dirichlet boundary condition and initial values. We prove an exponential decay result under different sufficient conditions on the relaxation function than the "standard" ones.

AB - In this paper we consider the following integro-differential problem which appears in viscoelasticityutρutt-Δu-Δutt+∫0tgt-τΔu(τ) dτ-γΔut=0on a bounded domain Ω with Dirichlet boundary condition and initial values. We prove an exponential decay result under different sufficient conditions on the relaxation function than the "standard" ones.

KW - Exponential decay

KW - Memory term

KW - Multiplier technique

KW - Viscoelastic problem

UR - https://www.scopus.com/pages/publications/25144455493

U2 - 10.1016/j.amc.2004.08.036

DO - 10.1016/j.amc.2004.08.036

M3 - Article

AN - SCOPUS:25144455493

SN - 0096-3003

VL - 167

SP - 1211

EP - 1220

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Uniform boundedness and stability for a viscoelastic problem

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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