A third-order dispersive flow for closed curves into Kähler manifolds - Mathematics > Analysis of PDEsReport as inadecuate




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



Author: Eiji Onodera

Source: https://arxiv.org/



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