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arXiv · 0807.0598

Steady compressible Oseen flow with slip boundary conditions

Tomasz Piasecki
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Abstract

We 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.

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Tomasz Piasecki. 2008-07-03. Steady compressible Oseen flow with slip boundary conditions. https://arxiv.org/abs/0807.0598

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