Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive

Mohammad Kafini; Muhammad I. Mustafa

doi:10.1016/j.nonrwa.2014.04.005

Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive

Mohammad Kafini^*, Muhammad I. Mustafa

^*Corresponding author for this work

Department of Mathematics

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

3 Scopus citations

Abstract

In this paper we consider a Cauchy problem for a nonlinear viscoelastic equation with strong damping and dispersive terms. Under certain conditions on the initial data and the relaxation function, we prove a finite-time blow-up result.

Original language	English
Pages (from-to)	14-20
Number of pages	7
Journal	Nonlinear Analysis: Real World Applications
Volume	20
Issue number	1
DOIs	https://doi.org/10.1016/j.nonrwa.2014.04.005
State	Published - Dec 2014

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 # IN121020.

Keywords

Blow up
Cauchy problem
Finite time
Relaxation function
Viscoelastic

ASJC Scopus subject areas

Analysis
General Engineering
General Economics, Econometrics and Finance
Computational Mathematics
Applied Mathematics

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10.1016/j.nonrwa.2014.04.005

Cite this

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title = "Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive",

abstract = "In this paper we consider a Cauchy problem for a nonlinear viscoelastic equation with strong damping and dispersive terms. Under certain conditions on the initial data and the relaxation function, we prove a finite-time blow-up result.",

keywords = "Blow up, Cauchy problem, Finite time, Relaxation function, Viscoelastic",

author = "Mohammad Kafini and Mustafa, \{Muhammad I.\}",

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 \# IN121020.",

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AU - Kafini, Mohammad

AU - Mustafa, Muhammad I.

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 # IN121020.

PY - 2014/12

Y1 - 2014/12

N2 - In this paper we consider a Cauchy problem for a nonlinear viscoelastic equation with strong damping and dispersive terms. Under certain conditions on the initial data and the relaxation function, we prove a finite-time blow-up result.

AB - In this paper we consider a Cauchy problem for a nonlinear viscoelastic equation with strong damping and dispersive terms. Under certain conditions on the initial data and the relaxation function, we prove a finite-time blow-up result.

KW - Blow up

KW - Cauchy problem

KW - Finite time

KW - Relaxation function

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/84901050537

U2 - 10.1016/j.nonrwa.2014.04.005

DO - 10.1016/j.nonrwa.2014.04.005

M3 - Article

AN - SCOPUS:84901050537

SN - 1468-1218

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JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 1

ER -

Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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