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A mixed formulation of the Stokes equations with slip conditions in exterior domains and in the half-space
Journal article

A mixed formulation of the Stokes equations with slip conditions in exterior domains and in the half-space

Nabil Kerdid
01/07/2018

Abstract

Analysis of PDEs exterior domain half Korn’s inequality Mathematics space Stokes equations unbounded domains weighted spaces
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.

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