Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations

Muhammad I. Mustafa; Mohammad Kafini

doi:10.1515/jaa-2019-0011

Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations

Muhammad I. Mustafa^*, Mohammad Kafini

^*Corresponding author for this work

Department of Mathematics

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

4 Scopus citations

Abstract

In this paper, we consider a nonlinear quasilinear system of two coupled viscoelastic equations and investigate the asymptotic behavior of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions, which improves earlier results existing in the literature.

Original language	English
Pages (from-to)	97-110
Number of pages	14
Journal	Journal of Applied Analysis
Volume	25
Issue number	1
DOIs	https://doi.org/10.1515/jaa-2019-0011
State	Published - 1 Jun 2019

Bibliographical note

Publisher Copyright:
© 2019 Walter de Gruyter GmbH, Berlin/Boston.

Keywords

General decay
coupled system
relaxation function
viscoelasticity

ASJC Scopus subject areas

Mathematical Physics
Statistics, Probability and Uncertainty
Computational Theory and Mathematics
Applied Mathematics

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10.1515/jaa-2019-0011

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title = "Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations",

abstract = "In this paper, we consider a nonlinear quasilinear system of two coupled viscoelastic equations and investigate the asymptotic behavior of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions, which improves earlier results existing in the literature.",

keywords = "General decay, coupled system, relaxation function, viscoelasticity",

author = "Mustafa, {Muhammad I.} and Mohammad Kafini",

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AB - In this paper, we consider a nonlinear quasilinear system of two coupled viscoelastic equations and investigate the asymptotic behavior of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions, which improves earlier results existing in the literature.

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Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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