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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
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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