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

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Abstract

We prove that the energy equality holds for weak solutions of the Navier-Stokes equations in the functional class L3([0, T );D(A 5/12)), where D(A5/12) is the domain of the fractional power of the Stokes operator. © 2010 Springer-Verlag Berlin Heidelberg.

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Cheskidov, A., Friedlander, S., & Shvydkoy, R. (2010). On the energy equality for weak solutions of the 3D Navier-Stokes equations. In Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday (pp. 171–175). Springer Verlag. https://doi.org/10.1007/978-3-642-04068-9_10

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