A Geometric Condition Implying an Energy Equality for Solutions of the 3D Navier–Stokes Equation |
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| Authors: | R. Shvydkoy |
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| Affiliation: | (1) Department of Mathematics, Statistics and Computer Science, University of Illinois, 851 S Morgan St., M/C 249, Chicago, IL 60607, USA |
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| 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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| Keywords: | Navier– Stokes equations Weak solutions Energy equality |
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