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arXiv:0707.2660 [math.AP]AbstractReferencesReviewsResources

A third-order dispersive flow for closed curves into Kähler manifolds

Eiji Onodera

Published 2007-07-18, updated 2008-07-28Version 3

This paper is devoted to studying the initial value problem for a third-order dispersive equation for closed curves into K\"ahler manifolds. This equation is a geometric generalization of a two-sphere valued system modeling the motion of vortex filament. We prove the local existence theorem by using geometric analysis and classical energy method.

Comments: 25pages, final version
Categories: math.AP
Subjects: 53C44, 35Q53
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