# On the 4th Clay Millennium Problem for the Periodic Navier Stokes Equations

The Gagliardo-Nirenberg and Prekopa-Leindler inequalities are used to prove that the integrand of the integral form of the solution obtained can be set to zero everywhere in space and time, as well as results on the velocity-pressure distribution using Debreu’s, Brouwer’s, and Lusin’s theorems, and a final theorem proving no finite time blowup of the 3D Incompressible Navier Stokes The values of positive c 3 and t in a complex equation tending to big values indicates, using five theorems, that as c 3 approaches positive infinity, t approaches infinity.

**Author(S) Details**

**Terry E. Moschandreou
**Mathematics, Science Senior Division, Thames Valley District, School Board, 1250 Dundas Street, London, N5W 5P2, Ontario, Canada.

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