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July 2018 A mixed formulation of the Stokes equations with slip conditions in exterior domains and in the half-space
Nabil Kerdid
Hiroshima Math. J. 48(2): 119-131 (July 2018). DOI: 10.32917/hmj/1533088823

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.

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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

Information

Received: 4 January 2016; Revised: 9 March 2017; Published: July 2018
First available in Project Euclid: 1 August 2018

zbMATH: 06965536
MathSciNet: MR3835552
Digital Object Identifier: 10.32917/hmj/1533088823

Subjects:
Primary: 35E20, 35Q30, 35Q35, 76D07

Rights: Copyright © 2018 Hiroshima University, Mathematics Program

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Vol.48 • No. 2 • July 2018
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