Steady compressible Oseen flow with slip boundary conditions

Details Steady compressible Oseen flow with slip boundary conditions Steady compressible Oseen flow with slip boundary conditions

2008-07-03

arxiv.org/abs/0807.0598v1

Mathematics

Analysis of PDEs

21 pages, 4 figures

Scientific paper

We prove the existence of solution in a class H^2(\Omega) x H^1(\Omega) 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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