Lagrangian reduction and wave mean flow interaction

DOI10.1016/j.physd.2023.133847arXiv2301.04121MaRDI QIDQ6096526

Ruiao Hu, Oliver D. Street, Darryl D. Holm

Publication date: 12 September 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.04121

zbMATH Keywords

Hamilton's principlereduction by Lie symmetrywave mean flow interaction

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Geophysics (86-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Euler-Poincaré formulation of hybrid plasma models
• Geometric dynamics of optimization
• Reduction theory for symmetry breaking with applications to nematic systems
• On high order strong stability preserving Runge-Kutta and multi step time discretizations
• The geometric structure of complex fluids
• Mécanique aléatoire
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid
• Hamiltonian dynamics and stability analysis of neutral electromagnetic fluids with induction
• Phase dynamics in the complex Ginzburg-Landau equation
• Stochastic variational formulations of fluid wave-current interaction
• Stochastic closures for wave-current interaction dynamics
• Geometry of nonadiabatic quantum hydrodynamics
• Equivalent theories of liquid crystal dynamics
• Metamorphoses through Lie group action
• Lagrangian reduction by stages
• Multiscale turbulence models based on convected fluid microstructure
• Introduction to Smooth Manifolds
• The world of the complex Ginzburg-Landau equation
• Euler-Poincaré Dynamics of Perfect Complex Fluids
• Semidirect Products and Reduction in Mechanics
• An exact theory of nonlinear waves on a Lagrangian-mean flow
• Interaction of Water Waves and Currents
• A rational model for Langmuir circulations
• Oscillation center theory and ponderomotive stabilization of low-frequency plasma modes
• Wave–current interaction on a free surface
• The bohmion method in nonadiabatic quantum hydrodynamics
• The Euler-Poincaré theory of metamorphosis
• A variational formulation of vertical slice models
• Variational principles for stochastic fluid dynamics
• Waves and Mean Flows
• Hamilton’s principle for quasigeostrophic motion

This page was built for publication: Lagrangian reduction and wave mean flow interaction