Abstract
We consider suitable weak solutions of the Navier–Stokes system in a bounded space-time domain D. We prove that the parabolic fractal dimension of the singular set is less than or equal to 135/82. We also introduce the concept of the parabolic fractal measure and prove that the fractal measure of the singular set is zero. For the Leray–Hopf weak solutions, we prove , where ΣT denotes the set of singular times on [0, T] and stands for the 1/2-dimensional fractal measure.
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