On nonuniqueness of Hölder continuous globally dissipative Euler flows

DOI10.2140/apde.2022.15.2003OpenAlexW3035664133MaRDI QIDQ2688994

Hyunju Kwon, Camillo De Lellis

Publication date: 6 March 2023

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.06482

zbMATH Keywords

Euler equationsconvex integrationlocal energy inequalityOnsager's conjecture

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (1)

On the failure of the chain rule for the divergence of Sobolev vector fields

Cites Work

• On nonperiodic Euler flows with Hölder regularity
• 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
• On admissibility criteria for weak solutions of the Euler equations
• Onsager's conjecture on the energy conservation for solutions of Euler's equation
• A proof of Onsager's conjecture
• Hölder continuous solutions of active scalar equations
• Nonuniqueness and existence of continuous, globally dissipative Euler flows
• Anomalous dissipation for \(1/5\)-Hölder Euler flows
• Onsager's conjecture almost everywhere in time
• Dissipative Euler Flows with Onsager-Critical Spatial Regularity
• Onsager's Conjecture for Admissible Weak Solutions
• Partial regularity of suitable weak solutions of the navier-stokes equations
• The ℎ-principle and the equations of fluid dynamics
• Regularity in Time of Hölder Solutions of Euler and Hypodissipative Navier--Stokes Equations

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