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.
arXiv comment9 pages
References in corpus (15)
- Theory of Star Formation
- Classification and Casimir Invariants of Lie-Poisson Brackets
- Hamiltonian formulation and analysis of a collisionless fluid reconnection model
- The Maxwell-Vlasov equations in Euler-Poincare form
- A general theory for gauge-free lifting
- On the relation between viscoelastic and magnetohydrodynamic flows and their instabilities
- On energy conservation in extended magnetohydrodynamics
- Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian
- Hamiltonian magnetohydrodynamics: symmetric formulation, Casimir invariants, and equilibrium variational principles
- Poisson-Bracket Approach to the Dynamics of Nematic Liquid Crystals. The Role of Spin Angular Momentum
- Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability - Theory
- Hamiltonian and action formalisms for two-dimensional gyroviscous MHD
- Euler-Poincaré formulation of hybrid plasma models
- Gyromap for a two-dimensional Hamiltonian fluid model derived from Braginskii's closure for magnetized plasmas
- Invariants and Labels in Lie-Poisson Systems
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- A class of three-dimensional gyroviscous magnetohydrodynamic models
- Hydrodynamic correlation functions of chiral active fluids