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 (Q1069745)
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scientific article; zbMATH DE number 3936649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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 |
scientific article; zbMATH DE number 3936649 |
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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 (English)
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1985
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The equations of motion of a magnetic solid in an ideal fluid and in a homogeneous magnetic field are derived, their Hamiltonian structure are studied and four first integrals are determined. The four-parameter family of the cases of Liouville integrability is found, as well as some cases of the existence of particular integrals.
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Klebsch integral
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Kirchhoff equation
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Hess-Appel'rot integral
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equations of motion
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magnetic solid
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ideal fluid
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homogeneous magnetic field
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Hamiltonian structure
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four first integrals
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four-parameter family
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Liouville integrability
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existence of particular integrals
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