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 by Piotr Zgliczynski, Zgliczynski, Piotr
Mathematics · #34G20 #35Q30 #76D03 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AP #math.DS #msc:34G20 #msc:35Q30 #msc:76D03

paper · pdf · doi:10.48550/arxiv.math/0103053

22 pages

arxiv created 2001/03/07 · arxiv updated 2009/11/30

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.

Related

• Some results on the Navier-Stokes equations in thin 3D domains
• An Elementary Proof of the Existence and Uniqueness Theorem for the Navier-Stokes Equations
• Some stability problems to the Navier-Stokes equations in the periodic case
• Navier-Stokes equations with periodic boundary conditions and pressure loss
• From anisotropic Navier-Stokes equations to primitive equations for the ocean and atmosphere