Geodesic
Investigation of the Geodesic Flow on an Infinite-Dimensional Lie Group by Means of the Coadjoint Action Operator
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Singularities and applications, Tome 267 (2009), pp. 204-213

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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. 
@article{TM_2009_267_a15,
     author = {A. M. Lukatsky},
     title = {Investigation of the {Geodesic} {Flow} on an {Infinite-Dimensional} {Lie} {Group} by {Means} of the {Coadjoint} {Action} {Operator}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {204--213},
     publisher = {mathdoc},
     volume = {267},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_267_a15/}
}
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A. M. Lukatsky. Investigation of the Geodesic Flow on an Infinite-Dimensional Lie Group by Means of the Coadjoint Action Operator. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Singularities and applications, Tome 267 (2009), pp. 204-213. http://geodesic.mathdoc.fr/item/TM_2009_267_a15/