Navier-Stokes equations paradox

Abstract

It is proved that if the Navier-Stokes problem is considered in ℝ3 , then the initial velocity has to be zero. This is the paradox. The consequences of this paradox are: a) The NSP is contradictory physically and mathematically; it is not a correct formulation of the problem of motion of the incompressible viscous fluid . b) The solution to the NSP does not exist on [0, ∞). This solves one of the millennium problems.