On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term

Mohammad Kafini; Nasser Eddine Tatar

doi:10.1080/00036811.2015.1026335

On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term

Mohammad Kafini^*, Nasser Eddine Tatar

^*Corresponding author for this work

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

2 Scopus citations

Abstract

A viscoelastic Cauchy problem subjected to a nonlinear source term is investigated. The memory term in the system involves a kernel which is not regular as is usually the case. It is proved that solutions go to zero in a polynomial manner as time goes to infinity.

Original language	English
Pages (from-to)	646-660
Number of pages	15
Journal	Applicable Analysis
Volume	95
Issue number	3
DOIs	https://doi.org/10.1080/00036811.2015.1026335
State	Published - 3 Mar 2016

Bibliographical note

Publisher Copyright:
© 2015 Taylor & Francis.

Keywords

Cauchy problem
polynomial decay
singular kernel
viscoelastic problem

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036811.2015.1026335

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title = "On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term",

abstract = "A viscoelastic Cauchy problem subjected to a nonlinear source term is investigated. The memory term in the system involves a kernel which is not regular as is usually the case. It is proved that solutions go to zero in a polynomial manner as time goes to infinity.",

keywords = "Cauchy problem, polynomial decay, singular kernel, viscoelastic problem",

author = "Mohammad Kafini and Tatar, \{Nasser Eddine\}",

note = "Publisher Copyright: {\textcopyright} 2015 Taylor \& Francis.",

year = "2016",

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day = "3",

doi = "10.1080/00036811.2015.1026335",

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AU - Kafini, Mohammad

AU - Tatar, Nasser Eddine

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N2 - A viscoelastic Cauchy problem subjected to a nonlinear source term is investigated. The memory term in the system involves a kernel which is not regular as is usually the case. It is proved that solutions go to zero in a polynomial manner as time goes to infinity.

AB - A viscoelastic Cauchy problem subjected to a nonlinear source term is investigated. The memory term in the system involves a kernel which is not regular as is usually the case. It is proved that solutions go to zero in a polynomial manner as time goes to infinity.

KW - Cauchy problem

KW - polynomial decay

KW - singular kernel

KW - viscoelastic problem

UR - https://www.scopus.com/pages/publications/84953639277

U2 - 10.1080/00036811.2015.1026335

DO - 10.1080/00036811.2015.1026335

M3 - Article

AN - SCOPUS:84953639277

SN - 0003-6811

VL - 95

SP - 646

EP - 660

JO - Applicable Analysis

JF - Applicable Analysis

IS - 3

ER -

On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this