Onsager's energy conservation for inhomogeneous Euler equations

DOI10.1016/j.matpur.2019.02.003zbMath1444.76023arXiv1706.08506OpenAlexW2963989191MaRDI QIDQ2334870

Robin Ming Chen, Cheng Yu

Publication date: 8 November 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08506

zbMATH Keywords

weak solutioninhomogeneous Euler equationsOnsager's energy conservation

Mathematics Subject Classification ID

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

Related Items (21)

Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum ⋮ Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum ⋮ Energy equality for the 3D inhomogeneous Navier-Stokes equations in Lorentz-Besov spaces ⋮ Energy equalities for the 2D reduced‐gravity two‐and‐a‐half layer system ⋮ Energy conservation of weak solutions for the incompressible Euler equations via vorticity ⋮ Energy conservation for inhomogeneous incompressible and compressible Euler equations ⋮ The energy conservation of the Landau-Lifshitz-Bloch equation ⋮ Onsager's energy conservation of solutions for density-dependent Euler equations in \(\mathbb{T}^d\) ⋮ The role of density in the energy conservation for the isentropic compressible Euler equations ⋮ A general sufficient criterion for energy conservation in the Navier–Stokes system ⋮ Refined conserved quantities criteria for the ideal MHD equations in a bounded domain ⋮ Energy conservation of the compressible Euler equations and the Navier-Stokes equations via the gradient ⋮ Energy conservation for the incompressible inhomogeneous Euler–Korteweg equations in a bounded domain ⋮ Energy conservation in 2-D density-dependent Euler equations with regularity assumptions on the vorticity ⋮ Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain ⋮ Regularity criterion on the energy conservation for the compressible Navier–Stokes equations ⋮ Energy conservation for the weak solutions to the ideal inhomogeneous magnetohydrodynamic equations in a bounded domain ⋮ Energy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domain ⋮ Energy conservation for the nonhomogeneous incompressible ideal Hall-MHD equations ⋮ Hölder regularity of helicity for the incompressible flows ⋮ Energy conservation for the weak solutions to the incompressible inhomogeneous Euler-Korteweg equations

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