A geometric condition implying an energy equality for solutions of the 3D Navier-Stokes equation

DOI10.1007/s10884-008-9124-3zbMath1160.76011arXiv0803.2057OpenAlexW2098252860WikidataQ115383585 ScholiaQ115383585MaRDI QIDQ1016057

Roman Shvydkoy

Publication date: 4 May 2009

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2057

zbMATH Keywords

weak solutions

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (10)

Energy equality of the 3D Navier-Stokes equations and generalized Newtonian equations ⋮ On uniqueness and helicity conservation of weak solutions to the electron-MHD system ⋮ Energy conservation of weak solutions for the incompressible Euler equations via vorticity ⋮ A general sufficient criterion for energy conservation in the Navier–Stokes system ⋮ Conditions Implying Energy Equality for Weak Solutions of the Navier--Stokes Equations ⋮ Energy conservation of the compressible Euler equations and the Navier-Stokes equations via the gradient ⋮ On the energy of inviscid singular flows ⋮ The energy measure for the Euler and Navier-Stokes equations ⋮ The energy measure for the Euler equations: the endpoint case ⋮ On the energy equality for solutions to Newtonian and non-Newtonian fluids

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