A study on Navier-Stokes equations |
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The Navier-Stokes equations represent a turning point in the field of differential equations. The classical methods could not do much about it by now. Therefore it is necessary to find new efficient methods to reduce the difficulties of the problem. Such a method might be the using of the integral representation of self-adjoints operators' formulae, which derives from a quite different domain from the one of differential equations of evolution, namely from the spectral theory of linear continuous operators and from the theory of measure. What does this formula? It manages to regularize the operator with continuous Lipschitz regularization, so that it shifts the problem in the frame of the classical theory which has been known until nowadays.
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