Anomalous Dissipation, Anomalous Work, and Energy Balance for the Navier--Stokes Equations
From MaRDI portal
Publication:5003332
DOI10.1137/20M1354076zbMath1475.76019arXiv1910.04204OpenAlexW3179515148MaRDI QIDQ5003332
Xiaoyutao Luo, Alexey Cheskidov
Publication date: 21 July 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04204
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (5)
An intermittent Onsager theorem ⋮ Anomalous energy flux in critical \(L^p\)-based spaces ⋮ Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System ⋮ Non uniqueness of power-law flows ⋮ Bounded solutions to the axially symmetric Navier Stokes equation in a cusp region
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
- Non-uniqueness for the transport equation with Sobolev vector fields
- Sur la régularité et l'unicité des solutions turbulentes des équations de Navier-Stokes
- 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
- Hölder continuous solutions of active scalar equations
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Uniqueness results for weak Leray-Hopf solutions of the Navier-Stokes system with initial values in critical spaces
- The energy measure for the Euler and Navier-Stokes equations
- Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?
- Anomalous dissipation for \(1/5\)-Hölder Euler flows
- Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensions
- Multipliers, paramultipliers, and weak-strong uniqueness for the Navier-Stokes equations
- Un teorema di unicita per le equazioni di Navier-Stokes
- Weak solutions of ideal MHD which do not conserve magnetic helicity
- Finite time blowup for an averaged three-dimensional Navier-Stokes equation
- Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time
- About weak-strong uniqueness for the 3D incompressible Navier-Stokes system
- Nonuniqueness of Weak Solutions to the 3 Dimensional Quasi-Geostrophic Equations
- Energy conservation and Onsager's conjecture for the Euler equations
- Energy dissipation in fractal-forced flow
- Ill-posedness of the basic equations of fluid dynamics in Besov spaces
- The Energy Equation for the Navier–Stokes System
- Conditions Implying Energy Equality for Weak Solutions of the Navier--Stokes Equations
- Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
- Fractal-generated turbulence
- Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces
This page was built for publication: Anomalous Dissipation, Anomalous Work, and Energy Balance for the Navier--Stokes Equations