Investigation of the geodesic flow on an infinite-dimensional Lie group by means of the coadjoint action operator |
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| Authors: | A M Lukatsky |
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| Institution: | 1. Energy Research Institute, Russian Academy of Sciences, ul. Nagornaya 31, kor. 2, Moscow, 117186, Russia
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| Abstract: | We consider a representation of the Euler equations as the geodesic flow on an infinite-dimensional Lie group. In these terms, we establish properties of solutions, which are provided by local existence and uniqueness theorems, at a limit point. |
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