Kirchhoff's equations of motion via a constrained Zakharov system
type: Item
instance of: scholarly article
title: Kirchhoff's equations of motion via a constrained Zakharov system
zbMATH Open document ID: 1418.37109
author: Banavara N. Shashikanth
published in: Journal of Geometric Mechanics
publication date: 2016-12-19T00:00:00Z
Mathematics Subject Classification ID: 37J60
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 70E18
Mathematics Subject Classification ID: 70H45
zbMATH DE Number: 6665956
zbMATH Keywords: Kirchhoff's equations
zbMATH Keywords: Zakharov's equations
zbMATH Keywords: Hamiltonian formalism
zbMATH Keywords: constraints
MaRDI profile type: Publication
full work available at URL: jgm.2016016
OpenAlex ID: W2554565536
cites work: Manifolds, tensor analysis, and applications.
cites work: Chaotic motion of a solid through ideal fluid
cites work: Topological methods in hydrodynamics
cites work: Hamiltonian theory for motions of bubbles in an infinite liquid
cites work: Motion of a circular cylinder and \(n\) point vortices in a perfect fluid
cites work: An integrable shallow water equation with peaked solitons
cites work: Foundations of Quantum Mechanics
cites work: Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
cites work: Generalized Kirchhoff equations for a deformable body moving in a weakly non-uniform flow field
cites work: Dynamic equations of motion for a rigid or deformable body in an arbitrary non-uniform potential flow field
cites work: A Modern Introduction to the Mathematical Theory of Water Waves
cites work: Q3327769
cites work: Forces, moments, and added masses for Rankine bodies
cites work: Stability of a bottom-heavy underwater vehicle
cites work: The Hamiltonian structure for dynamic free boundary problems
cites work: Q4249020
cites work: Variational methods and periodic solutions of equations of Kirchhoff type. II
cites work: 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
cites work: Vortex Dynamics
cites work: Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and \(N\) point vortices: the case of arbitrary smooth cylinder shapes
cites work: The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices
cites work: Hamiltonian structure for a neutrally buoyant rigid body interacting with \(N\) vortex rings of arbitrary shape: The case of arbitrary smooth body shape
DOI: 10.3934/JGM.2016016
description: scientific article; zbMATH DE number 6665956