A decay result to a viscoelastic problem in R n with an oscillating kernel

Mohammad Kafini; Nasser Eddine Tatar

doi:10.1063/1.3458600

A decay result to a viscoelastic problem in R ⁿ with an oscillating kernel

Mohammad Kafini^*
, Nasser Eddine Tatar

^*Corresponding author for this work

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

4 Scopus citations

Abstract

In this paper we consider a linear Cauchy viscoelastic problem. We show that, for compactly supported initial data and for not necessarily decreasing (oscillating) relaxation function, the decay of the first energy of solutions is polynomial. The proof relies on some appropriately chosen functionals. The combination of which satisfies a certain integral inequality.

Original language	English
Article number	016007JMP
Journal	Journal of Mathematical Physics
Volume	51
Issue number	7
DOIs	https://doi.org/10.1063/1.3458600
State	Published - Jul 2010

Bibliographical note

Funding Information:
The authors would like to express their sincere thanks to King Fahd University of Petroleum and Minerals for its support through the Grant No. IN 100030.

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.3458600

Cite this

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abstract = "In this paper we consider a linear Cauchy viscoelastic problem. We show that, for compactly supported initial data and for not necessarily decreasing (oscillating) relaxation function, the decay of the first energy of solutions is polynomial. The proof relies on some appropriately chosen functionals. The combination of which satisfies a certain integral inequality.",

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AB - In this paper we consider a linear Cauchy viscoelastic problem. We show that, for compactly supported initial data and for not necessarily decreasing (oscillating) relaxation function, the decay of the first energy of solutions is polynomial. The proof relies on some appropriately chosen functionals. The combination of which satisfies a certain integral inequality.

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