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arXiv:2209.06189 [math.AP]AbstractReferencesReviewsResources

Weak solutions to the Navier-Stokes equations

Ira Herbst

Published 2022-09-13Version 1

We prove the equivalence of being a Leray-Hopf weak solution to the Navier-Stokes equations in $\mathbb{R}^m, m \ge 3$, to satisfying a well known integral equation. We use this equation to derive some properties of these weak solutions.

Categories: math.AP
Subjects: 35Q35, 35D30
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