Exponential decay for a quasilinear viscoelastic equation

Salim A. Messaoudi; Nasser eddine Tatar

doi:10.1002/mana.200610800

Exponential decay for a quasilinear viscoelastic equation

Salim A. Messaoudi^*, Nasser eddine Tatar

^*Corresponding author for this work

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

43 Scopus citations

Abstract

We consider the following nonlinear viscoelastic equation together with Dirichlet-boundary conditions, in a bounded domain ω and ρ>0. We prove an exponential decay result for a class of relaxation functions. Our result is established without imposing the usual relation between g and its derivative.

Original language	English
Pages (from-to)	1443-1450
Number of pages	8
Journal	Mathematische Nachrichten
Volume	282
Issue number	10
DOIs	https://doi.org/10.1002/mana.200610800
State	Published - Oct 2009

Keywords

Modified energy functional
Primary: exponential decay; secondary: memory term
Relaxation function
Viscoelastic equation

ASJC Scopus subject areas

General Mathematics

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10.1002/mana.200610800

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title = "Exponential decay for a quasilinear viscoelastic equation",

abstract = "We consider the following nonlinear viscoelastic equation together with Dirichlet-boundary conditions, in a bounded domain ω and ρ>0. We prove an exponential decay result for a class of relaxation functions. Our result is established without imposing the usual relation between g and its derivative.",

keywords = "Modified energy functional, Primary: exponential decay; secondary: memory term, Relaxation function, Viscoelastic equation",

author = "Messaoudi, \{Salim A.\} and Tatar, \{Nasser eddine\}",

year = "2009",

month = oct,

doi = "10.1002/mana.200610800",

language = "English",

volume = "282",

pages = "1443--1450",

journal = "Mathematische Nachrichten",

issn = "0025-584X",

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TY - JOUR

T1 - Exponential decay for a quasilinear viscoelastic equation

AU - Messaoudi, Salim A.

AU - Tatar, Nasser eddine

PY - 2009/10

Y1 - 2009/10

N2 - We consider the following nonlinear viscoelastic equation together with Dirichlet-boundary conditions, in a bounded domain ω and ρ>0. We prove an exponential decay result for a class of relaxation functions. Our result is established without imposing the usual relation between g and its derivative.

AB - We consider the following nonlinear viscoelastic equation together with Dirichlet-boundary conditions, in a bounded domain ω and ρ>0. We prove an exponential decay result for a class of relaxation functions. Our result is established without imposing the usual relation between g and its derivative.

KW - Modified energy functional

KW - Primary: exponential decay; secondary: memory term

KW - Relaxation function

KW - Viscoelastic equation

UR - https://www.scopus.com/pages/publications/76849092044

U2 - 10.1002/mana.200610800

DO - 10.1002/mana.200610800

M3 - Article

AN - SCOPUS:76849092044

SN - 0025-584X

VL - 282

SP - 1443

EP - 1450

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 10

ER -

Exponential decay for a quasilinear viscoelastic equation

Abstract

Keywords

ASJC Scopus subject areas

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