Continuous dissipative Euler flows and a conjecture of Onsager

DOI10.4171/120-1/2zbMath1364.35250OpenAlexW2480977518MaRDI QIDQ2989879

László jun. Székelyhidi, Camillo De Lellis

Publication date: 8 June 2017

Published in: European Congress of Mathematics Kraków, 2 – 7 July, 2012 (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a15599673f3bb056c3b14bd2a9ab972fccd78fd2

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Local Riemannian geometry (53B20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (8)

On the singular part of measures constrained by linear PDEs and applications ⋮ A proof of Onsager's conjecture ⋮ Nonuniqueness and existence of continuous, globally dissipative Euler flows ⋮ Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain ⋮ Onsager's energy conservation of solutions for density-dependent Euler equations in \(\mathbb{T}^d\) ⋮ Localized energy equalities for the Navier-Stokes and the Euler equations ⋮ Onsager's energy conservation for inhomogeneous Euler equations ⋮ Nonuniqueness in law for stochastic hypodissipative Navier-Stokes equations

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