Abstract
In this paper we prove some properties of the maximal solution of Navier–Stokes equations. If the maximum time
T
ν
∗
is finite, we establish that the growth of
‖
u
(
t
)
‖
H
˙
s
is at least of the order of
(
T
ν
∗
−
t
)
−
s
/
3
(see Eq. (1.4)), also we give some new blow-up results. Specific properties and standard techniques are used.