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

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This paper is devoted to studying the initial value problem for a third-order dispersive equation for closed curves into Kähler 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.
25pages, final version

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Analysis of PDEs, 53C44; 35Q53

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http://salesiana.dossiersoluciones.com/handle/123456789/165699

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.2660
 http://arxiv.org/abs/0707.2660

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arXiv