Steady compressible Oseen flow with slip boundary conditions

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dc.creatorPiasecki, Tomasz
dc.date2008-07-03
dc.date.accessioned2026-07-07T09:48:16Z
dc.date.available2026-07-07T09:48:16Z
dc.descriptionWe prove the existence of solution in a class H^2(Ω) x H^1(Ω) to steady compressible Oseen system with slip boundary conditions in a two dimensional, convex domain with the boundary of class H^{5/2}. The method is to regularize a weak solution obtained via the Galerkin method. The problem of regularization is reduced to a problem of solvability of a certain transport equation by application of the Helmholtz decomposition. The method works under additional assumption on the geometry of the boundary.
dc.description21 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0807.0598
dc.identifierhttp://arxiv.org/abs/0807.0598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164151
dc.subjectAnalysis of PDEs
dc.subject35Q10; 76N10
dc.titleSteady compressible Oseen flow with slip boundary conditions
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