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arXiv · 1104.0619

Decay estimates for steady solutions of the Navier-Stokes equations in two dimensions in the presence of a wall

Christoph Boeckle·Peter Wittwer
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Abstract

Let w 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 -\infty 1, with zero Dirichlet boundary conditions at y=1 and at infinity, and with a small force term of compact support. Then, |xyw(x,y)| is uniformly bounded in the half-plane. The proof is given in a specially adapted functional framework and complements previous work.

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Christoph Boeckle, Peter Wittwer. 2011-04-04. Decay estimates for steady solutions of the Navier-Stokes equations in two dimensions in the presence of a wall. https://arxiv.org/abs/1104.0619

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