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A third-order dispersive flow for closed curves into K\"ahler manifolds by Onodera, Eiji is a scholarly article available to read on EtoBox.

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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.

Author

Onodera, Eiji

Published

2007

Language

EN