Abstract
We prove that the energy equality holds for weak solutions of the Navier-Stokes equations in the functional class L 3([0, T);D(A 5/12)), where D(A 5/12) is the domain of the fractional power of the Stokes operator.
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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: Rannacher, R., Sequeira, A. (eds) Advances in Mathematical Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04068-9_10
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DOI: https://doi.org/10.1007/978-3-642-04068-9_10
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