Canonical scale separation in two-dimensional incompressible hydrodynamics
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Publication:5083602
DOI10.1017/jfm.2022.457OpenAlexW4287332849MaRDI QIDQ5083602
Publication date: 20 June 2022
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.01451
spectral decompositionHermitian matrixnonlinear Hamiltonian systemcanonical vorticity splittingEuler-Zeitlin equationsKraichnan cascade theory
Hamilton's equations (70H05) Turbulence (76F99) Incompressible inviscid fluids (76B99) Euler equations (35Q31)
Related Items (5)
On the 3D turbulence regime in a tokamak plasma edge ⋮ Geometric hydrodynamics in open problems ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ On the infinite dimension limit of invariant measures and solutions of Zeitlin's 2D Euler equations ⋮ An efficient geometric method for incompressible hydrodynamics on the sphere
Cites Work
- Additional invariants and statistical equilibria for the 2D Euler equations on a spherical domain
- Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin.
- Infinite-dimensional algebras, sine brackets, and SU(\(\infty)\)
- Integrability of point-vortex dynamics via symplectic reduction: a survey
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Some properties of matrix harmonics on \(S^2\)
- Mathematical theory of incompressible nonviscous fluids
- Lattice theory and flows of ideal incompressible fluid
- Topological methods in hydrodynamics
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Lie-Poisson methods for isospectral flows
- Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orbits and local canonical structure
- Stochastic mode-reduction in models with conservative fast sub-systems
- Vorticity and Incompressible Flow
- On the late-time behaviour of a bounded, inviscid two-dimensional flow
- Mathematics of Two-Dimensional Turbulence
- Two-Dimensional Turbulence
- Onsager and the theory of hydrodynamic turbulence
- Non-Gaussianity and coherent vortex simulation for two-dimensional turbulence using an adaptive orthogonal wavelet basis
- Physical mechanism of the inverse energy cascade of two-dimensional turbulence: a numerical investigation
- Statistical equilibrium states for two-dimensional flows
- Statistical dynamics of two-dimensional flow
- Statistical mechanics of classical particles with logarithmic interactions
- Statistical mechanics of Euler equations in two dimensions
- Explicit Lie-Poisson integration and the Euler equations
- A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics
- Giant vortex clusters in a two-dimensional quantum fluid
- Evolution of large-scale flow from turbulence in a two-dimensional superfluid
- Statistically relevant conserved quantities for truncated quasigeostrophic flow
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