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...
| Main Authors: | , |
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| Format: | Others |
| Language: | Español |
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Pontificia Universidad Católica del Perú
2014
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| Subjects: | |
| Online Access: | http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8131/8423 http://repositorio.pucp.edu.pe/index/handle/123456789/96316 |
| Summary: | 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. |
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