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Steady compressible Oseen flow with slip boundary conditions

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Piasecki T.

Banach Center Publications

2009

tom 86

nr 1

247-264

We prove the existence of solution in the class H²(Ω) × H¹(Ω) to the steady compressible Oseen system with slip boundary conditions in a two dimensional, convex domain with 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 the problem of solvability of a certain transport equation by application of the Helmholtz decomposition. The method works under an additional assumption on the geometry of the boundary.

Ograniczanie wyników

1 Banach Center Publications

1 Piasecki T.

1 2009

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Steady compressible Oseen flow with slip boundary conditions