Statistical dynamics of two-dimensional flow

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On one-eighth law in unforced two-dimensional turbulence ⋮ Comparison of direct numerical simulation of two-dimensional turbulence with two-point closure: the effects of intermittency ⋮ Restricted equilibrium and the energy cascade in rotating and stratified flows ⋮ On the validity of the ``Weiss criterion in two-dimensional turbulence ⋮ Equilibria and condensates in Rossby and drift wave turbulence ⋮ Diffusion of a passive scalar in two-dimensional turbulence ⋮ Model of a truncated fast rotating flow at infinite Reynolds number ⋮ First-order phase transition and high energy cyclonic spots in a shallow water model on a rapidly rotating sphere ⋮ Low Mach number two-dimensional hydrodynamic turbulence: Energy budgets and density fluctuations in a polytropic fluid ⋮ Ergodicity and invariant measures of some randomly perturbed classical fields ⋮ Statistical properties of an enstrophy conserving finite element discretisation for the stochastic quasi-geostrophic equation ⋮ Lagrangian velocity correlations in homogeneous isotropic turbulence ⋮ Exact results on stationary turbulence in 2D: Consequences of vorticity conservation ⋮ Fluctuation-response relations in systems with chaotic behavior ⋮ Spectral transfers in two-dimensional anisotropic flow ⋮ Chaos and direct numerical simulation in turbulence ⋮ Evaluation of phase-modulated lattice sums ⋮ Canonical scale separation in two-dimensional incompressible hydrodynamics ⋮ Robustness of vortex populations in the two-dimensional inverse energy cascade ⋮ The Super- and Sub-Rotation of Barotropic Atmospheres on a Rotating Planet ⋮ Axis-symmetric Onsager clustered states of point vortices in a bounded domain ⋮ Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography ⋮ Exact coherent structures in fully developed two-dimensional turbulence ⋮ On the 3D turbulence regime in a tokamak plasma edge ⋮ Velocity statistics inside coherent vortices generated by the inverse cascade of 2-D turbulence ⋮ Statistical mechanics of two-dimensional Euler flows and minimum enstrophy states ⋮ Non-ergodicity of inviscid two-dimensional flow on a beta-plane and on the surface of a rotating sphere ⋮ Statistical mechanics and ocean circulation ⋮ A one-dimensional turbulence model; Enstrophy cascades and small-scale intermittency in decaying turbulence ⋮ Interaction of point and dipole vortices in an incompressible liquid ⋮ Energy extremals and nonlinear stability in a variational theory of a coupled barotropic flow - Rotating solid sphere system ⋮ Nonlinear stability and statistical mechanics of flow over topography ⋮ Mean field theory and coherent structures for vortex dynamics on the plane ⋮ Rigorous bounds on the nonlinear saturation of instabilities to parallel shear flows ⋮ Singularities motion equations in 2-dimensional ideal hydrodynamics of incompressible fluid ⋮ Hyperviscosity and statistical equilibria of Euler turbulence on the torus and the sphere ⋮ Turbulence theories and statistical closure approaches ⋮ A long range spherical model and exact solutions of an energy enstrophy theory for two-dimensional turbulence ⋮ Coherent structures in an energy-enstrophy theory for axisymmetric flows ⋮ Statistical mechanics of Arakawa's discretizations ⋮ Global Gyrokinetic Stability of Temperature-Gradient-Driven Trapped Ion Modes with Magnetic Shear ⋮ Dynamics of inviscid truncated model of two-dimensional turbulent shear flow ⋮ Pattern formation and evidence of quantum turbulence in binary Bose-Einstein condensates interacting with a pair of Laguerre-Gaussian laser beams ⋮ The equilibrium statistical mechanics of simple quasi-geostrophic models ⋮ Statistical dynamics of internal gravity waves-turbulence ⋮ Viscosity renormalization based on direct-interaction closure ⋮ Spectral non-locality, absolute equilibria and Kraichnan–Leith–Batchelor phenomenology in two-dimensional turbulent energy cascades ⋮ A microscopic derivation of the equilibrium energy density spectrum for barotropic turbulence on a sphere ⋮ Dissipative wave-mean interactions and the transport of vorticity or potential vorticity ⋮ Turbulent drag reduction in one and two dimensions ⋮ Meta-stability of equilibrium statistical structures for prototype geophysical flows with damping and driving ⋮ Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method ⋮ Remarks on turbulence theory ⋮ Point vortices on hyperbolic sphere ⋮ A dynamical model for turbulence. VI. Two-dimensional turbulence ⋮ Crude closure dynamics through large scale statistical theories ⋮ Wavelet analysis of 2D turbulent fields ⋮ Statistical equilibrium measures and coherent states in two-dimensional turbulence ⋮ Statistically relevant conserved quantities for truncated quasigeostrophic flow ⋮ Broken ergodicity and coherent structure in homogeneous turbulence ⋮ The dynamics of enstrophy transfer in two-dimensional hydrodynamics ⋮ Two-dimensional turbulence: A novel approach via logarithmic conformal field theory ⋮ Equilibrium states for quasigeostrophic flows with random topography ⋮ A maximum-entropy principle for two-dimensional perfect fluid dynamics ⋮ On the invariant measures for the two-dimensional Euler flow ⋮ Numerical modelling for physical oceanography ⋮ Streamline topologies for integrable vortex motion on a sphere ⋮ Statistical measures and selective decay principle for generalized Euler dynamics: formulation and application to the formation of strong fronts ⋮ The modified cuinulant expansion for two-dimensional isotropic turbulence ⋮ A statistical dynamical theory of strongly nonlinear internal gravity waves ⋮ A review of relaxation and structure in some turbulent plasmas: magnetohydrodynamics and related models ⋮ Phase Transition to Quadrupolar Vortices in a Spherical Model of the Energy-Enstrophy Theory — Exact Solution ⋮ Statistical mechanics of a bounded, ideal magnetofluid ⋮ Exact solutions of an energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere ⋮ Statistical properties of water waves. Part 1. Steady-state distribution of wind-driven gravity-capillary waves ⋮ Broken ergodicity, magnetic helicity, and the MHD dynamo ⋮ Broken ergodicity in magnetohydrodynamic turbulence ⋮ Coupled systems of two-dimensional turbulence

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