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.

Links & Downloads

1. http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8131/8423
2. http://repositorio.pucp.edu.pe/index/handle/123456789/96316

Tags

Elasticidad

Matemáticas

Additional Fields

Identifer	oai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/96316
Date	25 September 2017
Creators	Leckar, Hamilton F., Sampaio, Rubens
Publisher	Pontificia Universidad Católica del Perú
Source Sets	Pontificia Universidad Católica del Perú
Language	Español
Detected Language	English
Type	Artículo
Format	PDF
Source	Pro Mathematica; Vol. 12, Núm. 23-24 (1998); 91-101
Rights	Artículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/