Geodesic Equations on Diffeomorphism Groups
We bring together those systems of hydrodynamical type that can be written as geodesic equations on diffeomorphism groups or on extensions of diffeomorphism groups with right invariant $L^2$ or $H^1% metrics. We present their formal derivation starting from Euler's equation, the first order equ...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2008-03-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2008.030 |