№4 (23), 2012. MATHEMATICS AND SCIENCE

Sokolov V V, Fotov K N

The hamiltonian strcture of eguations of ferrohydrodynamics with internal rotation

It is shown that the system of equations of ideal ferrohydrodynamics with internal rotation has a Hamiltonian structure. We obtain a system of fundamental Poisson brackets for the basis functions in phase space. On the basis of the Rayleigh method derived equations of dissipative ferrohydrodynamics with internal rotation.

Keywords: Poisson brackets, dissipation, Rayleigh function, internal rotation, Hamiltonian.

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