Published July 30, 2010 | Version v1
Journal article Metadata-only

Nambu brackets in fluid mechanics and magnetohydrodynamics

Creators

  • 1. Center for Quantum Optics and Quantum Information, Department of Physics, University of Concepcion, Casilla 160-C, Concepcion (Chile)
  • 2. Departament of Geophysics, University of Concepcion, Casilla 160-C, Concepcion (Chile)

Description

Concrete examples of the construction of Nambu brackets for equations of motion (both 3D and 2D) of Boussinesq stratified fluids and also for magnetohydrodynamical equations are given. It serves a generalization of Hamiltonian formulation for the considered equations of motion. Two alternative Nambu formulations are proposed, first by using fluid dynamical (kinetic) helicity and/or enstrophy as constitutive elements and second, by using the existing conservation laws of the governing equation.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/43/30/305501

Additional details

Identifiers

DOI
10.1088/1751-8113/43/30/305501;
PII
S1751-8113(10)48098-1;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
43
Journal Issue
30
Journal Page Range
[8 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42037099
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
CONSERVATION LAWS; EQUATIONS OF MOTION; HAMILTONIANS; HELICITY; MAGNETOHYDRODYNAMICS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID MECHANICS; HYDRODYNAMICS; MATHEMATICAL OPERATORS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; QUANTUM OPERATORS