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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 204–213 (Mi tm2602)  

This article is cited in 4 scientific papers (total in 4 papers)

Investigation of the Geodesic Flow on an Infinite-Dimensional Lie Group by Means of the Coadjoint Action Operator

A. M. Lukatsky

Energy Research Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (183 kB) Citations (4)
References:
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.
Received in February 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 195–204
DOI: https://doi.org/10.1134/S0081543809040166
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: A. M. Lukatsky, “Investigation of the Geodesic Flow on an Infinite-Dimensional Lie Group by Means of the Coadjoint Action Operator”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 204–213; Proc. Steklov Inst. Math., 267 (2009), 195–204
Citation in format AMSBIB
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\paper Investigation of the Geodesic Flow on an Infinite-Dimensional Lie Group by Means of the Coadjoint Action Operator
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\vol 267
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\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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