Constantin, Peter; Foias, Ciprian

Navier-Stokes equations - Chicago The University of Chicago Press 1988 - ix, 190 p

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 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 dimention of the universal attractor;
15. Inertial manifolds;
Bibliography;
Index

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Navier-Stokes Gleichung