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

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

2001-03-07

arxiv.org/abs/math/0103053v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

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.

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