Geodesic motion on groups of diffeomorphisms with H1 metric as geometric generalised Lagrangian mean theory
From MaRDI portal
Publication:5065642
DOI10.1080/03091929.2019.1639697OpenAlexW3098199144WikidataQ114640054 ScholiaQ114640054MaRDI QIDQ5065642
Sergiy Vasylkevych, Marcel Oliver
Publication date: 22 March 2022
Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03091929.2019.1639697
geodesic flowgroups of diffeomorphismsLagrangian averagingEuler-\(\alpha\) equationsEPDiff equationsgeodesic mean
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Lie-Poisson structure of the LAE-\(\alpha\) equation
- Geodesic equations on diffeomorphism groups
- Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
- Variational formulation of fluid and geophysical fluid dynamics. Mechanics, symmetries and conservation laws
- 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
- Geometric Lagrangian averaged Euler–Boussinesq and primitive equations
- The Lagrangian Averaged Euler (LAE-α) Equations with Free-Slip or Mixed Boundary Conditions
- Riemannian Geometry
- On the derivation of the Navier–Stokes–alpha equations from Hamilton's principle
- A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
- Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence
- Stochastic Processes for Physicists
- 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
- An integrable shallow water equation with peaked solitons
- Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
- Lagrangian averaging with geodesic mean
- Geometric generalised Lagrangian-mean theories
- An alternative view of generalized Lagrangian mean theory
- Waves and Mean Flows
- On the form of the viscous term for two dimensional Navier-Stokes flows
- A note on Hamilton's principle for perfect fluids
- Large Eddy Simulation for Incompressible Flows
- The Navier–Stokes-αequations revisited
This page was built for publication: Geodesic motion on groups of diffeomorphisms with H1 metric as geometric generalised Lagrangian mean theory