Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain

We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small d...

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Main Authors: J. Límaco, H. R. Clark, L. A. Medeiros
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203206347
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spelling doaj-36afe5f153cc4c75826bc655639758a72020-11-24T22:59:44ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003322035205210.1155/S0161171203206347Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domainJ. Límaco0H. R. Clark1L. A. Medeiros2IM-GMA, Universidade Federal Fluminense, Niteri, RJ, BrazilIM-GMA, Universidade Federal Fluminense, Niteri, RJ, BrazilUniversidade Federal do Rio de Janeiro, IM, Rio de Janeiro, RJ, BrazilWe investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.http://dx.doi.org/10.1155/S0161171203206347
collection DOAJ
language English
format Article
sources DOAJ
author J. Límaco
H. R. Clark
L. A. Medeiros
spellingShingle J. Límaco
H. R. Clark
L. A. Medeiros
Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
International Journal of Mathematics and Mathematical Sciences
author_facet J. Límaco
H. R. Clark
L. A. Medeiros
author_sort J. Límaco
title Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
title_short Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
title_full Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
title_fullStr Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
title_full_unstemmed Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
title_sort remarks on nonlinear biharmonic evolution equation of kirchhoff type in noncylindrical domain
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.
url http://dx.doi.org/10.1155/S0161171203206347
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AT hrclark remarksonnonlinearbiharmonicevolutionequationofkirchhofftypeinnoncylindricaldomain
AT lamedeiros remarksonnonlinearbiharmonicevolutionequationofkirchhofftypeinnoncylindricaldomain
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