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Time-dependent solutions of the Navier–Stokes equations for spatially-uniform velocity gradients

Published online by Cambridge University Press:  14 November 2011

A. D. D. Craik
A. D. D. Craik
Affiliation:
Mathematical Institute, University of St Andrews, St Andrews, Fife KY16 9SS, Scotland
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Abstract

Classes of exact solutions of the Navier–Stokes equations for incompressible fluid flow are explored. These have spatially-uniform velocity gradients at each instant, but often display complex temporal behaviour. Particular illustrative cases are described and related to previously-known solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 1 , 1994 , pp. 127 - 136
Copyright
Copyright © Royal Society of Edinburgh 1994

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