A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy

Mohammad Kafini; Salim A. Messaoudi

doi:10.1016/j.indag.2013.04.001

A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy

Mohammad Kafini^*, Salim A. Messaoudi

^*Corresponding author for this work

Department of Mathematics

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

11 Scopus citations

Abstract

In this paper we consider a system of nonlinear viscoelastic wave equations. Under arbitrary positive initial energy and standard conditions on the relaxation functions, we prove a finite-time blow-up result.

Original language	English
Pages (from-to)	602-612
Number of pages	11
Journal	Indagationes Mathematicae
Volume	24
Issue number	3
DOIs	https://doi.org/10.1016/j.indag.2013.04.001
State	Published - 13 Jun 2013

Bibliographical note

Funding Information:
The authors would like to express their sincere thanks to King Fahd University of Petroleum and Minerals for its support. This work has been funded by KFUPM under Project # IN 111024.

Keywords

Blowup
Finite time
Nonlinear wave
Viscoelastic

ASJC Scopus subject areas

General Mathematics

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10.1016/j.indag.2013.04.001

Cite this

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title = "A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy",

abstract = "In this paper we consider a system of nonlinear viscoelastic wave equations. Under arbitrary positive initial energy and standard conditions on the relaxation functions, we prove a finite-time blow-up result.",

keywords = "Blowup, Finite time, Nonlinear wave, Viscoelastic",

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

note = "Funding Information: The authors would like to express their sincere thanks to King Fahd University of Petroleum and Minerals for its support. This work has been funded by KFUPM under Project \# IN 111024.",

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T1 - A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy

AU - Kafini, Mohammad

AU - Messaoudi, Salim A.

N1 - Funding Information: The authors would like to express their sincere thanks to King Fahd University of Petroleum and Minerals for its support. This work has been funded by KFUPM under Project # IN 111024.

PY - 2013/6/13

Y1 - 2013/6/13

N2 - In this paper we consider a system of nonlinear viscoelastic wave equations. Under arbitrary positive initial energy and standard conditions on the relaxation functions, we prove a finite-time blow-up result.

AB - In this paper we consider a system of nonlinear viscoelastic wave equations. Under arbitrary positive initial energy and standard conditions on the relaxation functions, we prove a finite-time blow-up result.

KW - Blowup

KW - Finite time

KW - Nonlinear wave

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/84878965779

U2 - 10.1016/j.indag.2013.04.001

DO - 10.1016/j.indag.2013.04.001

M3 - Article

AN - SCOPUS:84878965779

SN - 0019-3577

VL - 24

SP - 602

EP - 612

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 3

ER -

A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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