Abstract
We are concerned with Stokes equations in the half-space or in an exterior domain of $\mathbb{R}^n$ when slip conditions are imposed on the boundary. We present a mixed velocity-pressure formulation and we show its well posedness. A weighted variant of Korn’s inequality in unbounded domains is the cornerstone of our approach.
Citation
Nabil Kerdid. "A mixed formulation of the Stokes equations with slip conditions in exterior domains and in the half-space." Hiroshima Math. J. 48 (2) 119 - 131, July 2018. https://doi.org/10.32917/hmj/1533088823
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