An Elementary Proof of the Existence and Uniqueness Theorem for the Navier-Stokes Equations
Analysis of PDEs
2016-09-07 v2 chao-dyn
Mathematical Physics
Dynamical Systems
Functional Analysis
math.MP
Chaotic Dynamics
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.math/9903042,
title = {An Elementary Proof of the Existence and Uniqueness Theorem for the Navier-Stokes Equations},
author = {J. C. Mattingly and Ya. G. Sinai},
journal= {arXiv preprint arXiv:math/9903042},
year = {2016}
}
Comments
15 Pages