Onsager's `ideal turbulence' theory (Q6548970)

scientific article; zbMATH DE number 7858807

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English	Onsager's `ideal turbulence' theory	scientific article; zbMATH DE number 7858807

Statements

instance of

scholarly article

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title

Onsager's `ideal turbulence' theory (English)

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author

Gregory L. Eyink

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published in

Journal of Fluid Mechanics

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publication date

3 June 2024

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zbMATH Keywords

incompressible Navier-Stokes equations

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kinetic energy dissipation

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weak dissipative Euler solution

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turbulent energy cascade

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1/3 Hölder singularity

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Nash isometric embedding

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Localness of energy cascade in hydrodynamic turbulence. II. Sharp spectral filter

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Analogy between predictions of Kolmogorov and Yaglom

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Dynamic slip wall model for large-eddy simulation

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Q4079236

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Onsager-type conjecture and renormalized solutions for the relativistic Vlasov–Maxwell system

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Non-uniqueness for the Euler equations: the effect of the boundary

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Onsager's conjecture for the incompressible Euler equations in bounded domains

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Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit

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Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity

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Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence

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The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number

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A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations

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Thermal fluctuations in the dissipation range of homogeneous isotropic turbulence

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Slow modes in passive advection

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On the force on a body moving in a fluid

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Flat tori in three-dimensional space and convex integration

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Wall-Modeled Large-Eddy Simulation for Complex Turbulent Flows

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Weak-strong uniqueness for measure-valued solutions

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Onsager critical solutions of the forced Navier-Stokes equations

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Anomalous dissipation for the forced 3D Navier-Stokes equations

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A Lagrangian study of turbulent mixing: forward and backward dispersion of molecular trajectories in isotropic turbulence

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Onsager's Conjecture for Admissible Weak Solutions

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Shock Formation and Vorticity Creation for 3d Euler

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Reynolds-number dependence of the near-wall flow over irregular rough surfaces

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Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD

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A universal velocity profile for smooth wall pipe flow

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Kolmogorov's theory of turbulence and inviscid limit of the Navier-Stokes equations in \({\mathbb{R}}^3\)

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A Kato-type criterion for vanishing viscosity near Onsager's critical regularity

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Energy conservation and Onsager's conjecture for the Euler equations

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Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence

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A stochastic Lagrangian representation of the three‐dimensional incompressible Navier‐Stokes equations

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A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary

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

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Non-uniqueness for the Euler equations up to Onsager's critical exponent

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On nonuniqueness of Hölder continuous globally dissipative Euler flows

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On admissibility criteria for weak solutions of the Euler equations

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Dissipative continuous Euler flows

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The Euler equations as a differential inclusion

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Intermittency and lower dimensional dissipation in incompressible fluids

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On double Hölder regularity of the hydrodynamic pressure in bounded domains

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Full double Hölder regularity of the pressure in bounded domains

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Oscillations and concentrations in weak solutions of the incompressible fluid equations

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Q4296882

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

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Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\)

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Besov spaces and the multifractal hypothesis.

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Turbulence noise.

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Dissipation in turbulent solutions of 2D Euler equations

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Rigorous results on conserved and dissipated quantities in ideal MHD turbulence

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Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem

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Partial Differential Relations

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Equations relating structure functions of all orders

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Exact second-order structure-function relationships

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ON THE FORCE AND MOMENT ON A BODY IN AN INCOMPRESSIBLE FLUID, WITH APPLICATION TO RIGID BODIES AND BUBBLES AT HIGH AND LOW REYNOLDS NUMBERS

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A proof of Onsager's conjecture

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Nonuniqueness and existence of continuous, globally dissipative Euler flows

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A heat flow approach to Onsager's conjecture for the Euler equations on manifolds

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T<scp>URBULENT</scp> F<scp>LOWS OVER</scp> R<scp>OUGH</scp> W<scp>ALLS</scp>

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Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence

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Passive scalar equation in a turbulent incompressible Gaussian velocity field

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The multifractal nature of turbulent energy dissipation

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Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign

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Information theory and the embedding problem for Riemannian manifolds

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\(C^1\) isometric imbeddings

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The imbedding problem for Riemannian manifolds

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Energy dissipation caused by boundary layer instability at vanishing viscosity

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An intermittent Onsager theorem

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Reciprocal Relations in Irreversible Processes. I.

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Reciprocal Relations in Irreversible Processes. II.

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Fluctuations and Irreversible Processes

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The real butterfly effect

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Über Flüssigkeitsbewegung bei sehr kleiner Reibung.

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Interview with Abel Laureate John F. Nash Jr.

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Statistical theory of turbulence.

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An informal conceptual introduction to turbulence. Second edition of an informal introduction to turbulence

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Identifiers

zbMATH Open document ID

1540.7606

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6548970