George Sell/Yuncheng You: Inertial manifolds: the non-self-adjoint case.
J.Diff.Eq. 96 (1992), 203-255. A nonlinear dissipative evolution equation on
a Hilbert space is considered to establish for it sufficient conditions to
possess an inertial manifold. The assumptions are to include Navier-Stokes
equations, the Kuramoto-Sivashinksy equation, the Cahn-Hilliard equation as
well as some reaction-diffusion equation.