In to previous papers by the authors, classes of initial data to the three
dimensional, incompressible Navier-Stokes equations were presented, generating
a global smooth solution although the norm of the initial data may be chosen
arbitrarily large. The aim of this article is to provide new examples of
arbitrarily large initial data giving rise to global solutions, in the whole
space. Contrary to the previous examples, the initial data has no particular
oscillatory properties, but varies slowly in one direction. The proof uses the
special structure of the nonlinear term of the equation.Comment: References adde
