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

1999/03/08 by Mattingly, J. C., Sinai, Ya. G.
#35A05 #35Q30 #76D05 #Analysis of PDEs (math.AP) #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Functional Analysis (math.FA) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.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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