Lower and upper bounds to the change of vorticity by transition from slip- to no-slip fluid flow
type: Item
instance of: scholarly article
title: Lower and upper bounds to the change of vorticity by transition from slip- to no-slip fluid flow
zbMATH Open document ID: 1308.35173
author: Reimund Rautmann
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2014-12-05T00:00:00Z
review text: The author is interested in the change of vorticity by transition from slip to no slip boundary conditions in a model associated with a viscous fluid flow in a bounded open subset of \({\mathbb{R}}^3\) with smooth boundary. He establishes lower and upper bounds for the \(L^2\)-norm of the corresponding vorticity change. In addition, he presents a transport-diffusion splitting scheme which is consistent with the Navier-Stokes equations with no slip boundary condition.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 35Q31
zbMATH DE Number: 6376963
zbMATH Keywords: transition from slip to no slip flow
zbMATH Keywords: vorticity
zbMATH Keywords: transport-diffusion splitting scheme
reviewed by: Gheorghe Moroşanu
MaRDI profile type: Publication
full work available at URL: dcdss.2014.7.1101
OpenAlex ID: W2317168331
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DOI: 10.3934/DCDSS.2014.7.1101
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description: scientific article; zbMATH DE number 6376963