In this paper we consider the n dimensional Navier-Stokes equations and we prove a new regularity criterion for weak solutions. More precisely, if n = 3,4 we show that the “smallness” of at least n-1 components of the velocity in L^infty(0,T;L_w(R^n)) is sufficient to ensure regularity of the weak solutions.
A note on regularity of weak solutions of the Navier-Stokes equations in R^n
BERSELLI, LUIGI CARLO
2002-01-01
Abstract
In this paper we consider the n dimensional Navier-Stokes equations and we prove a new regularity criterion for weak solutions. More precisely, if n = 3,4 we show that the “smallness” of at least n-1 components of the velocity in L^infty(0,T;L_w(R^n)) is sufficient to ensure regularity of the weak solutions.File in questo prodotto:
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