@Article{JPDE-23-203,
author = {Xiaowei Sun  and Youde Wang },
title = {Some Geometric Flows on Kahler Manifolds},
journal = {Journal of Partial Differential Equations},
year = {2010},
volume = {23},
number = {2},
pages = {203--208},
abstract = {<p>We define a kind of KdV (Korteweg-de Vries) geometric flow for maps from a real line or a circle into a K<span style="font-size: 16px; line-height: 115%; font-family: arial, helvetica, sans-serif;">ä</span>hler 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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v23.n2.6},
url = {http://global-sci.org/intro/article_detail/jpde/5229.html}
}