Navier-Stokes equations, determining forms, determining modes, inertial manifolds, dissipative dynamical systems

Ciprian Foias, Michael S. Jolly, Rostyslav Kravchenko +1

The determining modes for the two-dimensional incompressible Navier-Stokes equations (NSE) are shown to satisfy an ordinary differential equation of the form $dv/dt=F(v)$, in the B…