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

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 $H$ endowed with the strong convergence topology.

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References in corpus (1)

• Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor