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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|
|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.|
|Appears in Collections:||Δημοσιεύσεις σε Συνέδρια|
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|The_3D_regularity_of_compressible_flows33_contribution_Frangos (2).pdf||281.62 kB||Adobe PDF||View/Open|
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