On integrability of a heavy rigid body sinking in an ideal fluid |
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| Authors: | Mikhail V.?Deryabin mailto:M.Deriabin@mat.dtu.dk" title=" M.Deriabin@mat.dtu.dk" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Poul G.?Hjorth |
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| Affiliation: | (1) Department of Mathematics, Technical University of Denmark, Building 303, 2800 Kgs. Lyngby, Denmark;(2) Department of Mathematics, Technical University of Denmark, Building 303, 2800 Kgs. Lyngby, Denmark |
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| Abstract: | ![]()
We consider a rigid body possessing 3 mutually perpendicular planes of symmetry,sinking in an ideal fluid. We prove that the general solution to the equations of motion branchesin the complex time plane, and that the equations consequently are not algebraically integrable.We show that there are solutions with an infinitely-sheeted Riemannian surface. |
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| Keywords: | 35Q30 35B40 76N15 |
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