The action principle for generalized fluid motion including gyroviscosity
arXiv:1408.2175 · doi:10.1016/j.physleta.2014.10.013
Abstract
A general set of fluid equations that allow for energy-conserving momentum transport by gyroscopic motion of fluid elements is obtained. The equations are produced by a class of action principles that yield a large subset of the known fluid and magnetofluid models, including gyroviscosity. Analysis of the action principle yields broad, model-independent results regarding the conservation laws of energy and linear and angular momenta. The formalism is illustrated by studying fluid models with intrinsic angular momentum that may appear in the contexts of condensed matter, biological, and other areas of physics.
9 pages
References in corpus (7)
- Theory of Star Formation
- Hamiltonian formulation and analysis of a collisionless fluid reconnection model
- A general theory for gauge-free lifting
- On energy conservation in extended magnetohydrodynamics
- Hamiltonian magnetohydrodynamics: symmetric formulation, Casimir invariants, and equilibrium variational principles
- Hamiltonian and action formalisms for two-dimensional gyroviscous MHD
- Gyromap for a two-dimensional Hamiltonian fluid model derived from Braginskii's closure for magnetized plasmas