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Hamiltonian systems with three degrees of freedom and hydrodynamics. (English) Zbl 0997.76004
Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 127-133 (1999).
The main goal is to discuss analogies between Hamiltonian systems and the hydrodynamics of ideal fluid. The paper also presents a survey of author’s results on barotropic ideal fluids and on Euler top.
For the entire collection see [Zbl 0942.00030].
MSC:
76A02 Foundations of fluid mechanics
70H05 Hamilton’s equations
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
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