Year: 2010
Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 2 : pp. 203–208
Abstract
We define a kind of KdV (Korteweg-de Vries) geometric flow for maps from a real line or a circle into a Kähler manifold (N, J,h) with complex structure J and metric h as the generalization of the vortex filament dynamics from a real line or a circle. By using the geometric analysis, the existence of the Cauchy problems of the KdV geometric flows will be investigated in this note.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v23.n2.6
Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 2 : pp. 203–208
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: KdV geometric flow
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