On the Stabilization of a Non-Dissipative Cauchy Viscoelastic Problem

Mohammad Kafini; Mohammad I. Mustafa

doi:10.1007/s00009-016-0799-0

On the Stabilization of a Non-Dissipative Cauchy Viscoelastic Problem

Mohammad Kafini^*
, Mohammad I. Mustafa

^*Corresponding author for this work

Department of Mathematics

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

2 Scopus citations

Abstract

In this paper, we consider a linear Cauchy viscoelastic problem with an external source term. We find the critical weaker conditions on the source f(x, t) needed to show that, for any compactly supported initial data and for an exponentially decaying relaxation function, the decay of the first energy of solution is polynomial.

Original language	English
Pages (from-to)	5163-5176
Number of pages	14
Journal	Mediterranean Journal of Mathematics
Volume	13
Issue number	6
DOIs	https://doi.org/10.1007/s00009-016-0799-0
State	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing.

Keywords

Cauchy problem
Decay
compactly supported
hyperbolic
relaxation function
viscoelastic

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-016-0799-0

Cite this

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title = "On the Stabilization of a Non-Dissipative Cauchy Viscoelastic Problem",

abstract = "In this paper, we consider a linear Cauchy viscoelastic problem with an external source term. We find the critical weaker conditions on the source f(x, t) needed to show that, for any compactly supported initial data and for an exponentially decaying relaxation function, the decay of the first energy of solution is polynomial.",

keywords = "Cauchy problem, Decay, compactly supported, hyperbolic, relaxation function, viscoelastic",

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AU - Mustafa, Mohammad I.

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N2 - In this paper, we consider a linear Cauchy viscoelastic problem with an external source term. We find the critical weaker conditions on the source f(x, t) needed to show that, for any compactly supported initial data and for an exponentially decaying relaxation function, the decay of the first energy of solution is polynomial.

AB - In this paper, we consider a linear Cauchy viscoelastic problem with an external source term. We find the critical weaker conditions on the source f(x, t) needed to show that, for any compactly supported initial data and for an exponentially decaying relaxation function, the decay of the first energy of solution is polynomial.

KW - Cauchy problem

KW - Decay

KW - compactly supported

KW - hyperbolic

KW - relaxation function

KW - viscoelastic

UR - https://www.scopus.com/pages/publications/84988704556

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DO - 10.1007/s00009-016-0799-0

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EP - 5176

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

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ER -

On the Stabilization of a Non-Dissipative Cauchy Viscoelastic Problem

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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