Kuramoto-Sivashinsky equation, Navier- Stokes equations, Ginzburg-Landau equation, turbulence, Karhunen- Loève expansion, PDEs in connection with fluid mechanics, Dynamical systems approach to turbulence, empirical eigenfunctions, proper orthogonal decomposition, Applications to the sciences, Ordinary differential equations and systems on manifolds, Functional-differential equations (including equations with delayed, advanced or state-dependent argument), Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Navier-Stokes equations