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arXiv:0704.2089 [math.AP]AbstractReferencesReviewsResources

On the energy equality for weak solutions of the 3D Navier-Stokes equations

A. Cheskidov, S. Friedlander, R. Shvydkoy

Published 2007-04-17Version 1

We prove that the energy equality holds for weak solutions of the 3D Navier-Stokes equations in the functional class $L^3([0,T);V^{5/6})$, where $V^{5/6}$ is the domain of the fractional power of the Stokes operator $A^{5/12}$.

Comments: 7 pages
Categories: math.AP, math-ph, math.MP
Subjects: 76B03, 76F02
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