Navier–Stokes Equations

1. Introduction and Summary
Grzegorz Łukaszewicz, Piotr Kalita

2. Equations of Classical Hydrodynamics
Grzegorz Łukaszewicz, Piotr Kalita

3. Mathematical Preliminaries
Grzegorz Łukaszewicz, Piotr Kalita

4. Stationary Solutions of the Navier–Stokes Equations
Grzegorz Łukaszewicz, Piotr Kalita

5. Stationary Solutions of the Navier–Stokes Equations with Friction
Grzegorz Łukaszewicz, Piotr Kalita

6. Stationary Flows in Narrow Films and the Reynolds Equation
Grzegorz Łukaszewicz, Piotr Kalita

7. Autonomous Two-Dimensional Navier–Stokes Equations
Grzegorz Łukaszewicz, Piotr Kalita

8. Invariant Measures and Statistical Solutions
Grzegorz Łukaszewicz, Piotr Kalita

9. Global Attractors and a Lubrication Problem
Grzegorz Łukaszewicz, Piotr Kalita

10. Exponential Attractors in Contact Problems
Grzegorz Łukaszewicz, Piotr Kalita

11. Non-autonomous Navier–Stokes Equations and Pullback Attractors
Grzegorz Łukaszewicz, Piotr Kalita

12. Pullback Attractors and Statistical Solutions
Grzegorz Łukaszewicz, Piotr Kalita

13. Pullback Attractors and Shear Flows
Grzegorz Łukaszewicz, Piotr Kalita

14. Trajectory Attractors and Feedback Boundary Control in Contact Problems
Grzegorz Łukaszewicz, Piotr Kalita

15. Evolutionary Systems and the Navier–Stokes Equations
Grzegorz Łukaszewicz, Piotr Kalita

16. Attractors for Multivalued Processes in Contact Problems
Grzegorz Łukaszewicz, Piotr Kalita

Avainsanat: Mathematics, Partial Differential Equations, Ordinary Differential Equations, Dynamical Systems and Ergodic Theory, Engineering Fluid Dynamics