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14.—Global Non-existence of Solutions to Ladyzhenskaya's Variants of the Navier-Stokes Equations Backward in Time

Published online by Cambridge University Press:  14 February 2012

Brian Straughan
Brian Straughan
Affiliation:
Department of Mathematics, University of Glasgow.
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Synopsis

It is shown that classical solutions backward in time to the alternatives to the Navier-Stokes equations proposed by Ladyzhenskaya cannot exist for all time. Estimates are obtained for the maximum interval of existence.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 75 , Issue 2 , 1976 , pp. 165 - 170
Copyright
Copyright © Royal Society of Edinburgh 1976

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References

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