On the existence of additional integrals of the equations of motion of a magnetizable solid in an ideal fluid, in the presence of a magnetic field

DOI10.1016/0021-8928(84)90057-1zbMath0584.73061OpenAlexW2077749184MaRDI QIDQ1069745

G. I. Subkhankulov, Alexander A. Burov

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90057-1

zbMATH Keywords

Hamiltonian structureequations of motionhomogeneous magnetic fieldKirchhoff equationLiouville integrabilityideal fluidexistence of particular integralsfour first integralsfour-parameter familyHess-Appel'rot integralKlebsch integralmagnetic solid

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Electromagnetic effects in solid mechanics (74F15) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (2)

On the motion of a solid in a magnetic field ⋮ On the Dynamics of a Rigid Body in the Hess Case at High-Frequency Vibrations of a Suspension Point

Cites Work

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