Abstract
We prove that every weak solution u to the 3D Navier–Stokes equation that belongs to the class L 3 L 9/2 and ∇u belongs to L 3 L 9/5 locally away from a 1/2-Hölder continuous curve in time satisfies the generalized energy equality. In particular every such solution is suitable.
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Shvydkoy, R. A Geometric Condition Implying an Energy Equality for Solutions of the 3D Navier–Stokes Equation. J Dyn Diff Equat 21, 117–125 (2009). https://doi.org/10.1007/s10884-008-9124-3
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DOI: https://doi.org/10.1007/s10884-008-9124-3