Navier-Stokes Equations: An Introduction with Applications

Introduction and summary.- Equations of classical hydrodynamics.- Mathematical preliminaries.- Stationary solutions of the Navier-Stokes equations.- Stationary solutions of the Navier-Stokes equations with friction.- Stationary flows in narrow films and the Reynolds equation.- Autonomous two-dimensional Navier-Stokes equations.- Invariant measures and statistical solutions.- Global attractors and a lubrication problem.- Exponential attractors in contact problems.- Non-autonomous Navier-Stokes equations and pullback attractors.- Pullback attractors and statistical solutions.- Pullback attractors and shear flows.- Trajectory attractors and feedback boundary control in contact problems.-Evolutionary systems and the Navier-Stokes equations.- Attractors for multivalued processes in contact problems.- References.- Index.