Hamiltonian derivation of the Charney-Hasegawa-Mima equation

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)

• Hamiltonian formulation and analysis of a collisionless fluid reconnection model
• Hamiltonian description of a self-consistent interaction between charged particles and electromagnetic waves

Cited by in corpus (1)

• Derivation of reduced two-dimensional fluid models via Dirac's theory of constrained Hamiltonian systems