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A nonlinear Hamiltonian structure for the Euler equations

โœ Scribed by Peter J Olver


Book ID
118330205
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
925 KB
Volume
89
Category
Article
ISSN
0022-247X

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On the euler equation: Bi-Hamiltonian st
โœ Carlo Morosi; Livio Pizzocchero ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 792 KB

We propose a bi-Hamiltonian formulation of the Euler equation for the free n-dimensional rigid body moving about a fixed point. This formulation lives on the 'physical' phase space so(n), and is different from the bi-Hamiltonian formulation on the extended phase space sl(n), considered previously in