Anomalous energy flux in critical \(L^p\)-based spaces

DOI10.1007/s00021-023-00770-2OpenAlexW4321618038MaRDI QIDQ2686306

Jan Burczak, Gabriel Sattig

Publication date: 27 February 2023

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.08730

zbMATH Keywords

turbulenceintermittencyenergy cascadeOnsager's conjectureanomalous dissipation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximal functions, Littlewood-Paley theory (42B25) Turbulent transport, mixing (76F25) Weak solutions to PDEs (35D30) Euler equations (35Q31)

Related Items (1)

An intermittent Onsager theorem

Cites Work

• Unnamed Item
• Energy conservation in two-dimensional incompressible ideal fluids
• Dissipative continuous Euler flows
• 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
• Convex integration and phenomenologies in turbulence
• Onsager's Conjecture for Admissible Weak Solutions
• Energy conservation and Onsager's conjecture for the Euler equations
• Ill-posedness of the basic equations of fluid dynamics in Besov spaces
• Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
• Anomalous Dissipation, Anomalous Work, and Energy Balance for the Navier--Stokes Equations

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