Statistical equilibrium measures and coherent states in two-dimensional turbulence
From MaRDI portal
Publication:4257015
DOI<781::AID-CPA1>3.0.CO;2-C 10.1002/(SICI)1097-0312(199907)52:7<781::AID-CPA1>3.0.CO;2-CzbMath0990.76029OpenAlexW2156362709MaRDI QIDQ4257015
Publication date: 2 November 1999
Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199907)52:7<781::aid-cpa1>3.0.co;2-c
continuum modelGibbs measureconvolution operatorcoherent statesmean field theoryFejér kernelstatistical equilibriumwindowingenstrophy constraintsideal vorticity dynamicsJoyce-Montgomery modelmaximum entrophy statesMiller-Robert modeltwo-dimensional incompressible inviscid fluid
Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35)
Related Items
Aspects of PDEs Related to Fluid Flows ⋮ Restricted equilibrium and the energy cascade in rotating and stratified flows ⋮ Statistical equilibrium predictions of jets and spots on Jupiter ⋮ On the fluctuation spectrum of plasma ⋮ A survey of entropy methods for partial differential equations ⋮ Instabilities of the Relativistic Vlasov--Maxwell System on Unbounded Domains ⋮ Onsager's ensemble for point vortices with random circulations on the sphere ⋮ Local structure of the set of steady-state solutions to the 2D incompressible Euler equations ⋮ Landau damping in the multiscale Vlasov theory ⋮ On Landau damping ⋮ Alternative statistical-mechanical descriptions of decaying two-dimensional turbulence in terms of “patches” and “points” ⋮ Coherent vortices and kinetic energy ribbons in asymptotic, quasi two-dimensional f-plane turbulence ⋮ Statistical equilibrium theory for axisymmetric flows: Kelvin’s variational principle and an explanation for the vortex ring pinch-off process ⋮ A long range spherical model and exact solutions of an energy enstrophy theory for two-dimensional turbulence ⋮ A merging criterion for two-dimensional co-rotating vortices ⋮ Meta-stability of equilibrium statistical structures for prototype geophysical flows with damping and driving ⋮ The theory of large deviations: from Boltzmann's 1877 calculation to equilibrium macrostates in 2D turbulence ⋮ Statistically relevant conserved quantities for truncated quasigeostrophic flow ⋮ Unresolved computation and optimal predictions ⋮ Spatializing random measures: doubly indexed processes and the large deviation principle ⋮ On maximally mixed equilibria of two-dimensional perfect fluids ⋮ On inviscid limits for the stochastic Navier-Stokes equations and related models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence
- A maximum-entropy principle for two-dimensional perfect fluid dynamics
- Mathematical theory of incompressible nonviscous fluids
- Large deviations for Young measures and statistical mechanics of infinite dimensional dynamical systems with conservation law
- Vorticity and turbulence
- Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orbits and local canonical structure
- Nonlinear stability of fluid and plasma equilibria
- Minimum enstrophy vortices
- Statistical equilibrium states for two-dimensional flows
- Relaxation in two dimensions and the ‘‘sinh-Poisson’’ equation
- Statistical dynamics of two-dimensional flow
- Two-dimensional turbulence above topography
- Statistical mechanics of classical particles with logarithmic interactions
- Dissipation, topography, and statistical theories for large-scale coherent structure
- On the symmetry of self-organized structures in two-dimensional turbulence
- Partition functions and equilibrium measures in two-dimensional and quasi-three-dimensional turbulence
- Statistical mechanics of Euler equations in two dimensions
- Statistical Equilibrium Computations of Coherent Structures in Turbulent Shear Layers
- Late states of incompressible 2D decaying vorticity fields
- On long-lived vortices in 2-D viscous flows, most probable states of inviscid 2-D flows and a soliton equation
- Inertial organization of a two-dimensional turbulent vortex street
- An overview of the theory of large deviations and applications to statistical mechanics
- Maximum entropy states for rotating vortex patches
- On some statistical properties of hydrodynamical and magneto-hydrodynamical fields