On reducing the 2d Navier-Stokes equations to a system of delayed ODEs

Abstract

We provide a simple proof that the dynamics of 2d Navier-Stokes equations on the attractor can be reduced to the dynamics of sufficiently modes of the Stokes operator, provided that the nonlinearity depends on the past history.

Keywords

• reducing
• Navier-Stokes
• equations
• system
• delayed
• ODEs