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Volume 23, Issue 2
Some Geometric Flows on Kahler Manifolds

Xiaowei Sun & Youde Wang

DOI: 10.4208/jpde.v23.n2.6

J. Part. Diff. Eq., 23 (2010), pp. 203-208.

Published online: 2010-05

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  • 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.

  • Keywords

KdV geometric flow conservation law local and global existence

  • AMS Subject Headings

35Q53 35Q35 53C44

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-23-203, author = {}, title = {Some Geometric Flows on Kahler Manifolds}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n2.6}, url = {http://global-sci.org/intro/article_detail/jpde/5229.html} }
TY - JOUR T1 - Some Geometric Flows on Kahler Manifolds JO - Journal of Partial Differential Equations VL - 2 SP - 203 EP - 208 PY - 2010 DA - 2010/05 SN - 23 DO - http://doi.org/10.4208/jpde.v23.n2.6 UR - https://global-sci.org/intro/article_detail/jpde/5229.html KW - KdV geometric flow KW - conservation law KW - local and global existence AB -

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.

Xiaowei Sun & Youde Wang . (2019). Some Geometric Flows on Kahler Manifolds. Journal of Partial Differential Equations. 23 (2). 203-208. doi:10.4208/jpde.v23.n2.6
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