An Attractor for a 3D Navier-Stokes Type Equation

Abstract

For a modified Navier-Stokes equation existence and uniqueness results are known in the evolution 3D case: the equation considered is fully nonlinear. We investigate the main properties of the dynamical system defined by the equation: we establish the existence of an attractor, estimate the number of determining modes and prove the global stability of the stationary solution for a "small" external force.