Kirchhoff's equations of motion via a constrained Zakharov system

DOI10.3934/jgm.2016016zbMath1418.37109OpenAlexW2554565536MaRDI QIDQ728206

Banavara N. Shashikanth

Publication date: 19 December 2016

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2016016

zbMATH Keywords

Hamiltonian formalismconstraintsZakharov's equationsKirchhoff's equations

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constrained dynamics, Dirac's theory of constraints (70H45) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)

Related Items (1)

Poisson brackets for the dynamically coupled system of a free boundary and a neutrally buoyant rigid body in a body-fixed frame

Cites Work

• Unnamed Item
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• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Hamiltonian structure for a neutrally buoyant rigid body interacting with \(N\) vortex rings of arbitrary shape: The case of arbitrary smooth body shape
• Periodic solutions of Kirchhoff equations for the free motion of a rigid body in a fluid and the extended Lyusternik-Shnirel'man-Morse theory. I
• Variational methods and periodic solutions of equations of Kirchhoff type. II
• The Hamiltonian structure for dynamic free boundary problems
• Manifolds, tensor analysis, and applications.
• Stability of a bottom-heavy underwater vehicle
• Topological methods in hydrodynamics
• Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and \(N\) point vortices: the case of arbitrary smooth cylinder shapes
• Forces, moments, and added masses for Rankine bodies
• Hamiltonian theory for motions of bubbles in an infinite liquid
• Chaotic motion of a solid through ideal fluid
• Generalized Kirchhoff equations for a deformable body moving in a weakly non-uniform flow field
• A Modern Introduction to the Mathematical Theory of Water Waves
• An integrable shallow water equation with peaked solitons
• Dynamic equations of motion for a rigid or deformable body in an arbitrary non-uniform potential flow field
• Vortex Dynamics
• Foundations of Quantum Mechanics
• The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices
• Motion of a circular cylinder and \(n\) point vortices in a perfect fluid
• Motion of a circular cylinder and \(n\) point vortices in a perfect fluid

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