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arXiv · 0704.2089

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

A. Cheskidov·S. Friedlander·R. Shvydkoy
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Abstract

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 $A^{5/12}$.

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BibTeXRIS

A. Cheskidov, S. Friedlander, R. Shvydkoy. 2007-04-17. On the energy equality for weak solutions of the 3D Navier-Stokes equations. https://arxiv.org/abs/0704.2089

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