Problems in incompressible linear elasticity involving tangential and normal components of the displacement field

Problems in incompressible linear elasticity involving tangential and normal components of the displacement field

We consider the linear system -∆ u + grad p = f plus the divergence-free condition div u = O, in a bounded and conected but non simply connected open set Ω of R³, with a boundary ᴦ of C∞ class. Using orthogonal decompositions of the Hilbert space of square integrable vector fields on Ω, we show well...

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Bibliographic Details
Main Authors: Leckar, Hamilton F., Sampaio, Rubens
Format: Others
Language:Español
Published: Pontificia Universidad Católica del Perú 2014
Subjects:
Elasticidad
Matemáticas
Online Access:http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8131/8423
http://repositorio.pucp.edu.pe/index/handle/123456789/96316
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spelling ndltd-PUCP-oai-tesis.pucp.edu.pe-123456789-963162018-08-07T16:42:03Z Problems in incompressible linear elasticity involving tangential and normal components of the displacement field Leckar, Hamilton F. Sampaio, Rubens Elasticidad Matemáticas We consider the linear system -∆ u + grad p = f plus the divergence-free condition div u = O, in a bounded and conected but non simply connected open set Ω of R³, with a boundary ᴦ of C∞ class. Using orthogonal decompositions of the Hilbert space of square integrable vector fields on Ω, we show well posedness for two boundary value problems involving normal or tangential components of the displacement field on ᴦ. 2014-02-10 2017-09-25T21:46:22Z 2017-09-25T21:46:22Z Artículo http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8131/8423 http://repositorio.pucp.edu.pe/index/handle/123456789/96316 Español Artículo en acceso abierto Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/ PDF Pontificia Universidad Católica del Perú Pro Mathematica; Vol. 12, Núm. 23-24 (1998); 91-101
collection NDLTD
language Español
format Others
sources NDLTD
topic Elasticidad
Matemáticas
spellingShingle Elasticidad
Matemáticas
Leckar, Hamilton F.
Sampaio, Rubens
Problems in incompressible linear elasticity involving tangential and normal components of the displacement field
description We consider the linear system -∆ u + grad p = f plus the divergence-free condition div u = O, in a bounded and conected but non simply connected open set Ω of R³, with a boundary ᴦ of C∞ class. Using orthogonal decompositions of the Hilbert space of square integrable vector fields on Ω, we show well posedness for two boundary value problems involving normal or tangential components of the displacement field on ᴦ.
author Leckar, Hamilton F.
Sampaio, Rubens
author_facet Leckar, Hamilton F.
Sampaio, Rubens
author_sort Leckar, Hamilton F.
title Problems in incompressible linear elasticity involving tangential and normal components of the displacement field
title_short Problems in incompressible linear elasticity involving tangential and normal components of the displacement field
title_full Problems in incompressible linear elasticity involving tangential and normal components of the displacement field
title_fullStr Problems in incompressible linear elasticity involving tangential and normal components of the displacement field
title_full_unstemmed Problems in incompressible linear elasticity involving tangential and normal components of the displacement field
title_sort problems in incompressible linear elasticity involving tangential and normal components of the displacement field
publisher Pontificia Universidad Católica del Perú
publishDate 2014
url http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8131/8423
http://repositorio.pucp.edu.pe/index/handle/123456789/96316
work_keys_str_mv AT leckarhamiltonf problemsinincompressiblelinearelasticityinvolvingtangentialandnormalcomponentsofthedisplacementfield
AT sampaiorubens problemsinincompressiblelinearelasticityinvolvingtangentialandnormalcomponentsofthedisplacementfield
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