Blow-up for the Euler-Bernoulli beam problem with a fractional boundary dissipation

Soraya Labidi; Nasser Eddine Tatar

Blow-up for the Euler-Bernoulli beam problem with a fractional boundary dissipation

Soraya Labidi^*, Nasser Eddine Tatar

^*Corresponding author for this work

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

8 Scopus citations

Abstract

We consider a beam problem with a polynomial source and a boundary damping of order between 0 and 1. Sufficient conditions on the initial data are established to have blow up of solutions in finite time.

Original language	English
Pages (from-to)	109-119
Number of pages	11
Journal	Dynamic Systems and Applications
Volume	17
Issue number	1
State	Published - Mar 2008

Keywords

Blow up
Boundary feedback
Euler-Bernoulli beam
Fractional derivative

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Blow-up for the Euler-Bernoulli beam problem with a fractional boundary dissipation",

abstract = "We consider a beam problem with a polynomial source and a boundary damping of order between 0 and 1. Sufficient conditions on the initial data are established to have blow up of solutions in finite time.",

keywords = "Blow up, Boundary feedback, Euler-Bernoulli beam, Fractional derivative",

author = "Soraya Labidi and Tatar, {Nasser Eddine}",

year = "2008",

month = mar,

language = "English",

volume = "17",

pages = "109--119",

journal = "Dynamic Systems and Applications",

issn = "1056-2176",

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T1 - Blow-up for the Euler-Bernoulli beam problem with a fractional boundary dissipation

AU - Labidi, Soraya

AU - Tatar, Nasser Eddine

PY - 2008/3

Y1 - 2008/3

N2 - We consider a beam problem with a polynomial source and a boundary damping of order between 0 and 1. Sufficient conditions on the initial data are established to have blow up of solutions in finite time.

AB - We consider a beam problem with a polynomial source and a boundary damping of order between 0 and 1. Sufficient conditions on the initial data are established to have blow up of solutions in finite time.

KW - Blow up

KW - Boundary feedback

KW - Euler-Bernoulli beam

KW - Fractional derivative

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M3 - Article

AN - SCOPUS:48949087458

SN - 1056-2176

VL - 17

SP - 109

EP - 119

JO - Dynamic Systems and Applications

JF - Dynamic Systems and Applications

IS - 1

ER -

Blow-up for the Euler-Bernoulli beam problem with a fractional boundary dissipation

Abstract

Keywords

ASJC Scopus subject areas

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