Weak solutions to the Navier-Stokes equations

preprint2022arXivOpen access

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.

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Weak solutions to the Navier-Stokes equations

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