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On non-existence of steady periodic solutions of the Prandtl equations

Published online by Cambridge University Press:  07 February 2013

Michael Renardy
Michael Renardy*
Affiliation:
Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA
*
†Email address for correspondence: [email protected]
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Abstract

We prove that periodic solutions of the steady Prandtl equations do not exist on a stationary boundary. On a moving boundary, there are no solutions with a monotone velocity profile.

JFM classification

Boundary Layers: Boundary Layers Boundary Layers: Boundary layer structure Mathematical Foundations: General fluid mechanics Mathematical Foundations: Mathematical Foundations
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 717 , 25 February 2013 , R7
Copyright
©2013 Cambridge University Press

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