A blow-up result in a nonlinear viscoelastic problem with arbitrary positive initial energy

Mohammad Kafini; Salim A. Messaoudi

A blow-up result in a nonlinear viscoelastic problem with arbitrary positive initial energy

Mohammad Kafini
, Salim A. Messaoudi

Department of Mathematics

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

7 Scopus citations

Abstract

In this paper we consider a problem for a nonlinear viscoelastic wave equation. Under arbitrary positive initial energy and standared conditions on the relaxation function, we prove a finite-time blow-up result.

Original language	English
Pages (from-to)	657-665
Number of pages	9
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	20
Issue number	6
State	Published - 2013

Keywords

Blow up
Finite time
Nonlinear wave
Viscoelastic

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "A blow-up result in a nonlinear viscoelastic problem with arbitrary positive initial energy",

abstract = "In this paper we consider a problem for a nonlinear viscoelastic wave equation. Under arbitrary positive initial energy and standared conditions on the relaxation function, we prove a finite-time blow-up result.",

keywords = "Blow up, Finite time, Nonlinear wave, Viscoelastic",

author = "Mohammad Kafini and Messaoudi, \{Salim A.\}",

year = "2013",

language = "English",

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pages = "657--665",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis",

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T1 - A blow-up result in a nonlinear viscoelastic problem with arbitrary positive initial energy

AU - Kafini, Mohammad

AU - Messaoudi, Salim A.

PY - 2013

Y1 - 2013

N2 - In this paper we consider a problem for a nonlinear viscoelastic wave equation. Under arbitrary positive initial energy and standared conditions on the relaxation function, we prove a finite-time blow-up result.

AB - In this paper we consider a problem for a nonlinear viscoelastic wave equation. Under arbitrary positive initial energy and standared conditions on the relaxation function, we prove a finite-time blow-up result.

KW - Blow up

KW - Finite time

KW - Nonlinear wave

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/84891355930

M3 - Article

AN - SCOPUS:84891355930

SN - 1201-3390

VL - 20

SP - 657

EP - 665

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 6

ER -

A blow-up result in a nonlinear viscoelastic problem with arbitrary positive initial energy

Abstract

Keywords

ASJC Scopus subject areas

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