On the space–time regularity of C(0,T;Ln)-very weak solutions to the Navier–Stokes equations Original Research Article

In this paper, we consider the initial-boundary value problem for the Navier–Stokes equations in a domain View the MathML source. We prove the space–time regularity of very weak solutions belonging to C(0,T;Ln(Ω)). In particular, we prove regularity for a class of solutions that are possibly not weak solutions in the sense of Leray–Hopf.