A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation - Collections

＜journal article＞
A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation

Other Titles	The intial value problem for a third-order dispersive flow into compact almost Hermitian manifolds
Creator	Author PID L000081 Creator Name Onodera, Eiji 小野寺, 栄治オノデラ, エイジ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
Language	English
Publisher	Mathematical Society of Japan - Kobe University
Date	2012
Source Title	MI Preprint Series
Vol	2008-2
Publication Type	Accepted Manuscript
Access Rights	open access
Rights	(C) 2012 Mathematical Society of Japan - Kobe University
Related DOI	isIdenticalTo https://doi.org/10.1619/fesi.55.137
Related DOI	Funkcialaj Ekvacioj \|\| 55(1) \|\| p137-156
	http://www.math.kyushu-u.ac.jp/
	http://www.math.sci.kobe-u.ac.jp/~fe/
Related URI	Funkcialaj Ekvacioj \|\| 55(1) \|\| p137-156
	http://www.math.kyushu-u.ac.jp/
	http://www.math.sci.kobe-u.ac.jp/~fe/
Related URI
Related HDL
Relation	Funkcialaj Ekvacioj \|\| 55(1) \|\| p137-156
	http://www.math.kyushu-u.ac.jp/
	http://www.math.sci.kobe-u.ac.jp/~fe/
Abstract	We present a time-local existence theorem of solutions to the initial value problem for a third-order dispersive evolution equation for open curves into compact almost Hermitian manifolds. Our equatio...ns geometrically generalize a two-sphere valued physical model describing the motion of vortex filament. These equations cause the so-called loss of one-derivative since the target manifold is not supposed to be a Kähler manifold. We overcome this difficulty by using a gauge transformation of a multiplier on the pull-back bundle to eliminate the bad first order terms essentially.show more

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Record ID	12546
Peer-Reviewed	Refereed
Subject Terms	Schrödinger map
	geometric analysis
	energy method
	smoothing effect
ISSN	0532-8721
DOI	10.1619/fesi.55.137
NCID	AA00652619
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	雑誌論文
Created Date	2012.12.26
Modified Date	2024.01.10

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＜journal article＞ A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation

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＜journal article＞
A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation