Decay rate of solutions for a Cauchy viscoelastic evolution equation

Mohammad Kafini; Salim A. Messaoudi; Nasser eddine Tatar

doi:10.1016/j.indag.2011.08.005

Decay rate of solutions for a Cauchy viscoelastic evolution equation

Mohammad Kafini^*
, Salim A. Messaoudi
, Nasser eddine Tatar

^*Corresponding author for this work

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

15 Scopus citations

Abstract

In this paper we consider a Cauchy problem for a viscoelastic wave equation. Under suitable conditions on the initial data and the relaxation function, we prove a polynomial decay result of solutions. Conditions used, here, on the relaxation function g and its derivative g' are different from the usual ones.

Original language	English
Pages (from-to)	103-115
Number of pages	13
Journal	Indagationes Mathematicae
Volume	22
Issue number	1-2
DOIs	https://doi.org/10.1016/j.indag.2011.08.005
State	Published - Oct 2011

Bibliographical note

Funding Information:
The authors would like to express their sincere thanks to King Fahd University of Petroleum and Minerals for its support. This work has been funded by KFUPM under Project # FT080002 .

Keywords

Cauchy problem
Decay
Fourth order
Relaxation function
Viscoelastic

ASJC Scopus subject areas

General Mathematics

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10.1016/j.indag.2011.08.005

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title = "Decay rate of solutions for a Cauchy viscoelastic evolution equation",

abstract = "In this paper we consider a Cauchy problem for a viscoelastic wave equation. Under suitable conditions on the initial data and the relaxation function, we prove a polynomial decay result of solutions. Conditions used, here, on the relaxation function g and its derivative g' are different from the usual ones.",

keywords = "Cauchy problem, Decay, Fourth order, Relaxation function, Viscoelastic",

author = "Mohammad Kafini and Messaoudi, \{Salim A.\} and Tatar, \{Nasser eddine\}",

note = "Funding Information: The authors would like to express their sincere thanks to King Fahd University of Petroleum and Minerals for its support. This work has been funded by KFUPM under Project \# FT080002 .",

year = "2011",

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doi = "10.1016/j.indag.2011.08.005",

language = "English",

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T1 - Decay rate of solutions for a Cauchy viscoelastic evolution equation

AU - Kafini, Mohammad

AU - Messaoudi, Salim A.

AU - Tatar, Nasser eddine

N1 - Funding Information: The authors would like to express their sincere thanks to King Fahd University of Petroleum and Minerals for its support. This work has been funded by KFUPM under Project # FT080002 .

PY - 2011/10

Y1 - 2011/10

N2 - In this paper we consider a Cauchy problem for a viscoelastic wave equation. Under suitable conditions on the initial data and the relaxation function, we prove a polynomial decay result of solutions. Conditions used, here, on the relaxation function g and its derivative g' are different from the usual ones.

AB - In this paper we consider a Cauchy problem for a viscoelastic wave equation. Under suitable conditions on the initial data and the relaxation function, we prove a polynomial decay result of solutions. Conditions used, here, on the relaxation function g and its derivative g' are different from the usual ones.

KW - Cauchy problem

KW - Decay

KW - Fourth order

KW - Relaxation function

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/80055020255

U2 - 10.1016/j.indag.2011.08.005

DO - 10.1016/j.indag.2011.08.005

M3 - Article

AN - SCOPUS:80055020255

SN - 0019-3577

VL - 22

SP - 103

EP - 115

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 1-2

ER -

Decay rate of solutions for a Cauchy viscoelastic evolution equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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