Hamiltonian derivation of the Charney-Hasegawa-Mima equation
arXiv:0906.2673 · doi:10.1063/1.3194275
Abstract
The Charney-Hasegawa-Mima equation is an infinite-dimensional Hamiltonian system with dynamics generated by a noncanonical Poisson bracket. Here a first principle Hamiltonian derivation of this system, beginning with the ion fluid dynamics and its known Hamiltonian form, is given.
References in corpus (2)
Cited by in corpus (7)
- Pattern formation by turbulent cascades
- Derivation of reduced two-dimensional fluid models via Dirac's theory of constrained Hamiltonian systems
- A Generalized Hasegawa-Mima Equation in Curved Magnetic Fields
- Hamiltonian Structure and Nonlinear Stability of Steady Solutions of the Generalized Hasegawa-Mima Equation for Drift Wave Turbulence in Curved Magnetic Fields
- Guiding Center Derivation of the Generalized Hasegawa-Mima Equation for Drift Wave Turbulence in Curved Magnetic Fields
- Vorticity equation on surfaces with arbitrary topology
- Revealing Noncanonical Hamiltonian Structures in Relativistic Fluid Dynamics