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An Elementary Proof of the Existence and Uniqueness Theorem for the Navier-Stokes Equations

J. C. Mattingly, Ya. G. Sinai

math.AParXiv:math/9903042

Abstract

We give a geometric approach to proving know regularity and existence theorems for the 2D Navier-Stokes Equations. We feel this point of view is instructive in better understanding the dynamics. The technique is inspired by constructions in the Dynamical Systems.

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