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Title: On The Solution Of The 4th Clay Millenium problem about the Navier-Stokes Equations. Equivalence of smooth compact support and smooth Schwartz, initial conditions
Authors: Kyritsis, Constantinos 
Keywords: Mathematical phisics
Issue Date: 29-Jun-2017
Abstract: In this paper I prove, using some relatively recent ideas suggested by T. Tao , that the Schwartz initial conditions of the its official formulation of the problem in the direction of regularity are equivalent to the simpler compact support initial conditions. I prove also, using the Helmholtz-Hodge orthogonal decomposition of vector fields, a powerful fundamental decomposition of the Euler and Navier-Stokes equations which is significant for the internal symmetries of the equations.
ISBN: 978-618-82980-0-2
Appears in Collections:Δημοσιεύσεις σε Συνέδρια

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