Geometric generalised Lagrangian-mean theories
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Publication:5226381
DOI10.1017/jfm.2017.913zbMath1419.76026arXiv1612.07111OpenAlexW2963110578WikidataQ57946388 ScholiaQ57946388MaRDI QIDQ5226381
Andrew D. Gilbert, Jacques Vanneste
Publication date: 31 July 2019
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07111
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Cites Work
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- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Generalized fluid flows, their approximation and applications
- Topological methods in hydrodynamics
- The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
- Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Available potential vorticity and wave-averaged quasi-geostrophic flow
- The hybrid Euler–Lagrange procedure using an extension of Moffatt's method
- Eulerian–Lagrangian means in rotating, magnetohydrodynamic flows I. General results
- Covariant description of non-relativistic magnetohydrodynamics
- Particle dispersion by random waves in the rotating Boussinesq system
- A generalised-Lagrangian-mean model of the interactions between near-inertial waves and mean flow
- The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids
- A note on the divergence effect and the Lagrangian-mean surface elevation in periodic water waves
- An exact theory of nonlinear waves on a Lagrangian-mean flow
- On wave-action and its relatives
- Nonlinear internal gravity waves in a rotating fluid
- On non-dissipative wave–mean interactions in the atmosphere or oceans
- A Panoramic View of Riemannian Geometry
- Variational principles for Lagrangian-averaged fluid dynamics
- Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces
- Wave capture and wave–vortex duality
- Variational treatment of inertia–gravity waves interacting with a quasi-geostrophic mean flow
- An alternative view of generalized Lagrangian mean theory
- Waves and Mean Flows
- Interaction between Hydromagnetic Waves and a Time-Dependent, Inhomogeneous Medium
- A kinematic theory of large magnetic Reynolds number dynamos
- The Large Scale Structure of Space-Time
- Lagrangian Averaging for Compressible Fluids
- Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics
- Eulerian and Lagrangian means in rotating, magnetohydrodynamic flows II. Braginsky’s nearly axisymmetric dynamo
- Averaging methods in nonlinear dynamical systems
- Polar factorization of maps on Riemannian manifolds
