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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 posedness for two boundary value problems involving normal or tangential components of the displacement field on ᴦ.

Identiferoai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/96316
Date25 September 2017
CreatorsLeckar, Hamilton F., Sampaio, Rubens
PublisherPontificia Universidad Católica del Perú
Source SetsPontificia Universidad Católica del Perú
LanguageEspañol
Detected LanguageEnglish
TypeArtículo
FormatPDF
SourcePro Mathematica; Vol. 12, Núm. 23-24 (1998); 91-101
RightsArtículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/

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