An Onsager singularity theorem for Leray solutions of incompressible Navier–Stokes
From MaRDI portal
Publication:5240846
DOI10.1088/1361-6544/ab2f42zbMath1428.35282arXiv1710.05205OpenAlexW2765586865MaRDI QIDQ5240846
Theodore D. Drivas, Gregory L. Eyink
Publication date: 29 October 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.05205
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Fundamentals of turbulence (76F02) Euler equations (35Q31)
Related Items
Nonuniqueness and existence of continuous, globally dissipative Euler flows ⋮ Turbulent cascade direction and Lagrangian time-asymmetry ⋮ A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations ⋮ Regularity in time along the coarse scale flow for the incompressible Euler equations ⋮ An intermittent Onsager theorem ⋮ On energy conservation for the hydrostatic Euler equations: an Onsager conjecture ⋮ Anomalous dissipation for the forced 3D Navier-Stokes equations ⋮ Intermittency and lower dimensional dissipation in incompressible fluids ⋮ Beyond Kolmogorov cascades ⋮ Boundary conditions and polymeric drag reduction for the Navier-Stokes equations ⋮ Vortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equations ⋮ Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem ⋮ Energy Equality in Compressible Fluids with Physical Boundaries ⋮ On the conservation of energy in two-dimensional incompressible flows ⋮ Sufficient conditions for local scaling laws for stationary martingale solutions to the 3D Navier–Stokes equations ⋮ Anomalous dissipation in passive scalar transport
Cites Work
- Energy conservation in two-dimensional incompressible ideal fluids
- The Kolmogorov-Riesz compactness theorem
- Kolmogorov's theory of turbulence and inviscid limit of the Navier-Stokes equations in \({\mathbb{R}}^3\)
- On admissibility criteria for weak solutions of the Euler equations
- Epochs of regularity for weak solutions of the Navier-Stokes equations in unbounded domains
- The Euler equations as a differential inclusion
- 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
- Besov spaces and the multifractal hypothesis.
- A proof of Onsager's conjecture
- Onsager's conjecture for the incompressible Euler equations in bounded domains
- Remarks on high Reynolds numbers hydrodynamics and the inviscid limit
- An Onsager singularity theorem for turbulent solutions of compressible Euler equations
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Nonuniqueness and existence of continuous, globally dissipative Euler flows
- Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit
- Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit
- Turbulent cascade direction and Lagrangian time-asymmetry
- Onsager's Conjecture for Admissible Weak Solutions
- The decay of turbulence in a bounded domain
- Energy conservation and Onsager's conjecture for the Euler equations
- Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box
- Onsager's Conjecture and Anomalous Dissipation on Domains with Boundary
- Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
- The ℎ-principle and the equations of fluid dynamics
- On the normalized dissipation parameter in decaying turbulence
- An update on the energy dissipation rate in isotropic turbulence
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An Onsager singularity theorem for Leray solutions of incompressible Navier–Stokes
