On the Energy Equality for Distributional Solutions to Navier-Stokes Equations
Abstract
A classical result of J.-L. Lions asserts that if a solution to the Navier-Stokes equations is such that: (i) it is in the Leray-Hopf class, and (ii) belongs to L4(0,T;L4), then it must satisfy the energy equality in the time interval [0,T]. In this note we show that assumption (i) is not necessary.
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