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

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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 $A^{5/12}$.
7 pages

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Analysis of PDEs, Mathematical Physics, 76B03; 76F02

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http://salesiana.dossiersoluciones.com/handle/123456789/127456

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.2089
 http://arxiv.org/abs/0704.2089

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arXiv