Description: Introduction 1. Notation and Preliminary Material 2. The Stokes equations. Existence and Uniqueness of Weak Solutions 3. Regularity of Solutions of the Stokes Equations 4. The Stokes Operator 5. The Navier-Stokes Equations 6. Inequalities for the Nonlinear Term 7. Stationary solutions to the Navier-Stokes Equations 8. Weak Solutions of the Navier-Stokes Equation 9. Strong Solutions 10. Further Results Concerning Weak and Strong Solutions 11. Vanishing Viscosity Limits 12. Analyticity and Backward Uniqueness 13. Exponential Decay of Volume Elements 14. Global Lyapunov Exponents. Hausdorff and Fractal Dimension of the Universal Attractor 15. Inertial Manifolds Bibliography Index

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