Navier-stokes Equations (chicago Lectures In Mathematics)

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 Equations -- 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. Peter Constantin And Ciprian Foias. Includes Bibliographical References And Index.