Leray-Hopf and Continuity Properties for All Weak Solutions for the 3D~Navier-Stokes Equations

preprint2023arXivOpen access

Abstract

In this note we prove that each weak solution for the 3D Navier-Stokes system satisfies Leray-Hopf property. Moreover, each weak solution is rightly continuous in the standard phase space HH endowed with the strong convergence topology.

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