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

J. C. Mattingly; Ya. G. Sinai

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

J. C. Mattingly·Ya. G. Sinai

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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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BibTeX RIS

J. C. Mattingly, Ya. G. Sinai. 1999-04-07. An Elementary Proof of the Existence and Uniqueness Theorem for the Navier-Stokes Equations. https://arxiv.org/abs/math/9903042

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