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Thorough analysis of the Oseen system in 2D exterior domains

Thorough analysis of the Oseen system in 2D exterior domains

We construct $L_p$-estimates for the inhomogeneous Oseen system studied in a two dimensional exterior domain $\Omega$ with inhomogeneous slip boundary conditions. The kernel of the paper is a result for the half space $\mathbb{R}^2_+$. Analysis of this model system shows us a parabolic character of the studied problem, resulting as …