2011 | OriginalPaper | Buchkapitel
A Note on Necessary Conditions for Blow-up of Energy Solutions to the Navier-Stokes Equations
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In the present note, we address the question about behavior of
L
3
-norm of the velocity field as time
t
approaches blow-up time
T
. It is known that the upper limit of the above norm must be equal to infinity. We show that, for blow-ups of type I, the lower limit of
L
3
-norm equals to infinity as well.