Additional invariants and statistical equilibria for the 2D Euler equations on a spherical domain
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Publication:377782
DOI10.1007/s10955-013-0809-6zbMath1334.76008arXiv1307.5109OpenAlexW3100190617MaRDI QIDQ377782
Publication date: 7 November 2013
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.5109
General theory of rotating fluids (76U05) Statistical mechanics of liquids (82D15) Fundamentals of turbulence (76F02) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Related Items (5)
Restricted equilibrium and the energy cascade in rotating and stratified flows ⋮ Equilibrium statistical mechanics and energy partition for the shallow water model ⋮ Canonical scale separation in two-dimensional incompressible hydrodynamics ⋮ Langevin dynamics, large deviations and instantons for the quasi-geostrophic model and two-dimensional Euler equations ⋮ Hyperviscosity and statistical equilibria of Euler turbulence on the torus and the sphere
Cites Work
- Unnamed Item
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- Solvable phase diagrams and ensemble inequivalence for two-dimensional and geophysical turbulent flows
- Simpler variational problems for statistical equilibria of the 2D Euler equation and other systems with long range interactions
- Statistical mechanics of 2D turbulence with a prior vorticity distribution
- Dynamical and thermodynamical stability of two-dimensional flows: variational principles and relaxation equations
- Nonlinear stability for saddle solutions of ideal flows and symmetry breaking
- Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence
- Statistics of two-dimensional point vortices and high-energy vortex states
- A maximum-entropy principle for two-dimensional perfect fluid dynamics
- The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
- Large deviations for Young measures and statistical mechanics of infinite dimensional dynamical systems with conservation law
- Vorticity and turbulence
- The micro-canonical point vortex ensemble: Beyond equivalence
- On the statistical mechanics of 2D Euler equation
- Spatializing random measures: doubly indexed processes and the large deviation principle
- On the invariant measures for the two-dimensional Euler flow
- Statistical mechanics of vortices in an inviscid two-dimensional fluid
- Onsager's ensemble for point vortices with random circulations on the sphere
- Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orbits and local canonical structure
- Quasi-stationary states for particle systems in the mean-field limit
- Classification of phase transitions and ensemble inequivalence, in systems with long range interactions
- Nonlinear stability of fluid and plasma equilibria
- Bottom-trapped currents as statistical equilibrium states above topographic anomalies
- Onsager and the theory of hydrodynamic turbulence
- Hamiltonian description of the ideal fluid
- Statistical equilibrium states for two-dimensional flows
- Statistical mechanics of two-dimensional vortices in a bounded container
- The equilibrium statistical mechanics of simple quasi-geostrophic models
- Two-dimensional turbulence on the surface of a sphere
- Vortex properties of two-dimensional turbulence
- Classification of robust isolated vortices in two-dimensional hydrodynamics
- The emergence of jets and vortices in freely evolving, shallow-water turbulence on a sphere
- Statistical mechanics of Euler equations in two dimensions
- Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows
- Inviscid quasi-geostrophic flow over topography: testing statistical mechanical theory
- Classification of self-organized vortices in two-dimensional turbulence: the case of a bounded domain
- Emergence of intense jets and Jupiter's Great Red Spot as maximum-entropy structures
- The emergence of isolated coherent vortices in turbulent flow
- Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
- On some statistical properties of hydrodynamical and magneto-hydrodynamical fields
- Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
- Two-dimensional turbulence: a physicist approach
- Statistical mechanics of two-dimensional Euler flows and minimum enstrophy states
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