Euler-Poincaré equations on semi-direct products

被引：0
|
作者：
Emanuel-Ciprian Cismas
机构：
[1] Universität Leibniz,Institut für Angewandte Mathematik
来源：
Monatshefte für Mathematik | 2016年 / 179卷
关键词：
Euler-Poincaré equations; Diffeomorphism group of the circle; Semi-direct products; 58D05; 58B25; 22E65; 35Q35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Euler-Poincaré equations on the semi-direct products of the group of orientation preserving diffeomorphisms of the circle with itself. We establish a reduction result to the direct product structure which will allow us to investigate the well-posedness, in the smooth category, using geodesic flows on infinite dimensional Lie groups.
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页码：491 / 507
页数：16
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