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

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

2007-04-17

arxiv.org/abs/0704.2089v1

Mathematics

Analysis of PDEs

7 pages

Scientific paper

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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