Onsager's conjecture for subgrid scale \(\alpha\)-models of turbulence

DOI10.1016/j.physd.2022.133553OpenAlexW4304614951WikidataQ123300618 ScholiaQ123300618MaRDI QIDQ2677781

Publication date: 6 January 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03416

zbMATH Keywords

energy conservation Leray-alpha model Clark-alpha model Euler-alpha equations Hoelder regularity subgrid scale turbulence model

Mathematics Subject Classification ID

Turbulence (76F99) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (3)

Energy conservation for the generalized surface quasi-geostrophic equation ⋮ Four-thirds law of energy and magnetic helicity in electron and Hall magnetohydrodynamic fluids ⋮ On energy conservation for the hydrostatic Euler equations: an Onsager conjecture

Cites Work

Unnamed Item
Unnamed Item
Dissipative continuous Euler flows
Dissipative Euler flows and Onsager's conjecture
Non-uniqueness and \(h\)-principle for Hölder-continuous weak solutions of the Euler equations
An inviscid flow with compact support in space-time
On admissibility criteria for weak solutions of the Euler equations
Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
The Euler equations as a differential inclusion
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model
The Camassa-Holm equations and turbulence
The Euler-Poincaré equations and semidirect products with applications to continuum theories
Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
Onsager's conjecture on the energy conservation for solutions of Euler's equation
Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer
A proof of Onsager's conjecture
Renormalization of active scalar equations
A note on weak solutions of conservation laws and energy/entropy conservation
Onsager's conjecture for the incompressible Euler equations in bounded domains
Weak solutions with decreasing energy of incompressible Euler equations
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations
Energy conservation for solutions of incompressible viscoelastic fluids
Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit
Anomalous dissipation for \(1/5\)-Hölder Euler flows
On the extension of Onsager's conjecture for general conservation laws
Onsager's conjecture almost everywhere in time
Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time
Onsager's Conjecture for Admissible Weak Solutions
Nonuniqueness of Weak Solutions to the 3 Dimensional Quasi-Geostrophic Equations
Analytical study of certain magnetohydrodynamic-α models
A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
On second grade fluids with vanishing viscosity
Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
A First Course in Sobolev Spaces
Energy conservation for the Euler equations on T 2 × R + for weak solutions defined without reference to the pressure
Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
A direct approach to nonuniqueness and failure of compactness for the SQG equation
Convex integration constructions in hydrodynamics
Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
Nonuniqueness of Weak Solutions to the SQG Equation
On a Leray–α model of turbulence
A modified-Leray-α subgrid scale model of turbulence
The Navier-Stokes-alpha model of fluid turbulence
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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