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On the motion of a vortex filament in an external flow according to the localized induction approximation

Published online by Cambridge University Press:  14 November 2011

Takahiro Nishiyama
Takahiro Nishiyama
Affiliation:
Department of Mathematics, Keio University, Yokohama 223-8522, Japan, (nisiyama@math.keio.ac.jp)
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Abstract

A vector equation which gives the velocity of a vortex filament embedded in an inviscid incompressible flow is considered. It comprises terms representing effects from the localized self-induction and from the external flow. The initial value problem is proved to have at least a solution for a suitable external flow term.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 3 , 1999 , pp. 617 - 626
Copyright
Copyright © Royal Society of Edinburgh 1999

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