In this paper, we consider the initial-boundary value problem for the Navier –Stokes equations in a domain Omega⊆ R^n. We prove the space–time regularity of very weak solutions belonging to C(0,T;L^n). In particular, we prove regularity for a class of solutions that are possibly not weak solutions in the sense of Leray–Hopf
On the space-time regularity of C(0,T;L^n)-very weak solutions to the Navier-Stokes equations
BERSELLI, LUIGI CARLO;
2004-01-01
Abstract
In this paper, we consider the initial-boundary value problem for the Navier –Stokes equations in a domain Omega⊆ R^n. We prove the space–time regularity of very weak solutions belonging to C(0,T;L^n). In particular, we prove regularity for a class of solutions that are possibly not weak solutions in the sense of Leray–HopfFile in questo prodotto:
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