Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane

Authors: Piotr Zgliczynski

arXiv: math/0103053v1 - DOI (math.AP)
22 pages
License: ASSUMED 1991-2003

Abstract: Using ODE-methods and trapping regions derived by Mattingly and Sinai we give a new proof of the existence and uniqueness of solutions to Navier-Stokes equations with periodic boundary conditions on the plane.

Submitted to arXiv on 07 Mar. 2001

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