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Onsager and the theory of hydrodynamic turbulence (Q3077075)

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Language	Label	Description	Also known as
English	Onsager and the theory of hydrodynamic turbulence	scientific article

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scholarly article

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Onsager and the theory of hydrodynamic turbulence (English)

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zbMATH Open document ID

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10.1103/RevModPhys.78.87

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Reviews of Modern Physics

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publication date

21 February 2011

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Mathematics Subject Classification ID

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zbMATH DE Number

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Gregory L. Eyink

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Katepalli R. Sreenivasan

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MaRDI profile type

MaRDI publication profile

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Quantized vortex dynamics and superfluid turbulence

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Emergence of intense jets and Jupiter's Great Red Spot as maximum-entropy structures

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A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description

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A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II

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Statistics of two-dimensional point vortices and high-energy vortex states

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Lars, the oracle

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Inviscid two dimensional vortex dynamics and a soliton expansion of the sinh-Poisson equation

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Onsager's conjecture on the energy conservation for solutions of Euler's equation

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A review of the statistical theory of turbulence

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Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations

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The statistical dynamics of homogeneous turbulence

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Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer

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Besov spaces and the multifractal hypothesis.

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Local energy flux and the refined similarity hypothesis

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Dissipation in turbulent solutions of 2D Euler equations

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Local 4/5-law and energy dissipation anomaly in turbulence

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Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence

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Particles and fields in fluid turbulence

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Statistical mechanics of vortices in an inviscid two-dimensional fluid

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CONDUCTANCE OF STRONG ELECTROLYTES AT FINITE DILUTIONS

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Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box

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Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice

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Quasi-periodic motions of vortex systems

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Statistical mechanics of classical particles with logarithmic interactions

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The micro-canonical point vortex ensemble: Beyond equivalence

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A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number

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The structure of isotropic turbulence at very high Reynolds numbers

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An almost-Markovian Galilean-invariant turbulence model

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Double-periodic arrays of vortices

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Lars Onsager (November 27, 1903--October 5, 1976), in memoriam.

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Difference between Turbulence in a Two-Dimensional Fluid and in a Three-Dimensional Fluid

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On some statistical properties of hydrodynamical and magneto-hydrodynamical fields

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On the Motion of Vortices in Two Dimensions

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On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation

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On the Problem of the Molecular Theory of Superconductivity

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Lars Onsager: November 27, 1903--October 5, 1976. Papers dedicated to the memory of Lars Onsager.

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Fluctuations and Irreversible Process. II. Systems with Kinetic Energy

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Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier

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Mathematical theory of incompressible nonviscous fluids

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Weak electrolytes, Brownian motion, vortices in superfluid films, and Odins Aker

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The multifractal nature of turbulent energy dissipation

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The origins of Onsager's key role in the development of linear irreversible thermodynamics.

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Statistical mechanics of Euler equations in two dimensions

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Relaxation in two dimensions and the ‘‘sinh-Poisson’’ equation

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Navier–Stokes relaxation to sinh–Poisson states at finite Reynolds numbers

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Reciprocal Relations in Irreversible Processes. I.

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Reciprocal Relations in Irreversible Processes. II.

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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On the Theory of Isotope Separation by Thermal Diffusion

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Fluctuations and Irreversible Processes

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Turbulence in Convection in Gases Between Concentric Vertical Cylinders

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Analytical theories of turbulence

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Bose-Einstein Condensation and Liquid Helium

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On the decay of a normally distributed and homogenous turbulent velocity field

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A maximum-entropy principle for two-dimensional perfect fluid dynamics

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Statistical equilibrium states for two-dimensional flows

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On Gauge Invariance and Vacuum Polarization

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Final equilibrium state of a two-dimensional shear layer

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An update on the energy dissipation rate in isotropic turbulence

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Bounds on energy flux for finite energy turbulence

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Statistical equilibrium predictions of jets and spots on Jupiter

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On the Statistical Theory of Isotropic Turbulence

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The Homogeneous Chaos

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The Spontaneous Magnetization of a Two-Dimensional Ising Model

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Alternative statistical-mechanical descriptions of decaying two-dimensional turbulence in terms of “patches” and “points”

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full work available at URL

https://doi.org/10.1103/revmodphys.78.87

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