  We study scenarios of self-similar type blow-up for the incompressible
Navier-Stokes and the Euler equations. The previous notions of the discretely
(backward) self-similar solution and the asymptotically self-similar solution
are generalized to the locally asymptotically discretely self-similar solution.
We prove that there exists no such locally asymptotically discretely
self-similar blow-up for the 3D Navier-Stokes equations if the blow-up profile
is a time periodic function belonging to $C^1(\Bbb R ; L^3(\Bbb R^3)\cap C^2
(\Bbb R^3))$. For the 3D Euler equations we show that the scenario of
asymptotically discretely self-similar blow-up is excluded if the blow-up
profile satisfies suitable integrability conditions.
