A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term

Abderrahmane Youkana; Salim A. Messaoudi; Aissa Guesmia

doi:10.1007/s10473-019-0223-5

A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term

Abderrahmane Youkana
, Salim A. Messaoudi
, Aissa Guesmia^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

4 Scopus citations

Abstract

We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.

Original language	English
Pages (from-to)	618-626
Number of pages	9
Journal	Acta Mathematica Scientia
Volume	39
Issue number	2
DOIs	https://doi.org/10.1007/s10473-019-0223-5
State	Published - 1 Mar 2019

Bibliographical note

Publisher Copyright:
© 2019, Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences.

Keywords

35K05
general decay
heat equation
optimal
viscoelastic

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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10.1007/s10473-019-0223-5

Cite this

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title = "A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term",

abstract = "We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.",

keywords = "35K05, general decay, heat equation, optimal, viscoelastic",

author = "Abderrahmane Youkana and Messaoudi, \{Salim A.\} and Aissa Guesmia",

note = "Publisher Copyright: {\textcopyright} 2019, Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences.",

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T1 - A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term

AU - Youkana, Abderrahmane

AU - Messaoudi, Salim A.

AU - Guesmia, Aissa

PY - 2019/3/1

Y1 - 2019/3/1

N2 - We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.

AB - We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.

KW - 35K05

KW - general decay

KW - heat equation

KW - optimal

KW - viscoelastic

UR - https://www.scopus.com/pages/publications/85066608966

U2 - 10.1007/s10473-019-0223-5

DO - 10.1007/s10473-019-0223-5

M3 - Article

AN - SCOPUS:85066608966

SN - 0252-9602

VL - 39

SP - 618

EP - 626

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 2

ER -

A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this