On the relation between very weak and Leray–Hopf solutions to Navier–Stokes equations

Galdi, Giovanni

doi:10.1090/proc/14764

On the relation between very weak and Leray–Hopf solutions to Navier–Stokes equations
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Proc. Amer. Math. Soc. 147 (2019), 5349-5359 Request permission

Abstract:

We prove a general result that implies that very weak solutions to the Cauchy problem for the Navier–Stokes equations must be, in fact, Leray–Hopf solutions if only their initial data are (solenoidal) with finite kinetic energy.

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