General decay for a viscoelastic problem with not necessarily decreasing kernel

In this paper, a problem which arises in viscoelasticity is considered. We obtain the decay rate of the energy, for certain class of relaxation functions not necessarily exponentially or polynomially decaying to zero. Our results are natural generalizations of the previous ones in Medjden and Tatar...

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Bibliographic Details
Published in:Journal of applied mathematics & computing 2018-10, Vol.58 (1-2), p.647-665
Main Authors: Mesloub, Fatiha, Boulaaras, Salah
Format: Article
Language:English
Subjects:
Applied mathematics
Computational Mathematics and Numerical Analysis
Decay rate
Functions (mathematics)
Mathematical analysis
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Polynomials
Theory of Computation
Viscoelasticity
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Summary:In this paper, a problem which arises in viscoelasticity is considered. We obtain the decay rate of the energy, for certain class of relaxation functions not necessarily exponentially or polynomially decaying to zero. Our results are natural generalizations of the previous ones in Medjden and Tatar (Appl Math Comput 67:1221–1235, 2005 ).
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-017-1161-9