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Let ω be the vorticity of a stationary solution of the two-dimensional Navier–Stokes equations with a drift term parallel to the boundary in the half-plane Ω + = {(x, y) ∈ R 2 | y > 1}, with zero Dirichlet boundary conditions at y = 1 and at infinity, and with a small force term of compact support. Then |xyω(x, y)| is uniformly bounded in Ω +. The proof is… (More)

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: Keywords: Navier–Stokes equations Asymptotic expansions Exterior domain… (More)

We discuss artificial boundary conditions for stationary Navier-Stokes flows past bodies in the half-plane, for a range of low Reynolds numbers. When truncating the half-plane to a finite domain for numerical purposes, artificial boundaries appear. We present an explicit Dirichlet condition for the velocity at these boundaries in terms of an asymptotic… (More)

- Christoph Boeckle, Peter Wittwerz
- 2011

We consider the Navier-Stokes equations in a half-plane with a drift term parallel to the boundary and a small force term of compact support. We provide detailed information on the behavior of the velocity and the vorticity at in…nity in terms of an asymptotic expansion at large distances from the boundary. This expansion is identical to the one for the… (More)

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