Navier-Stokes equations

By: Constantin, Peter; Foias, CiprianMaterial type: TextTextPublication details: Chicago The University of Chicago Press 1988Description: ix, 190 pISBN: 0266115496Subject(s): Navier-Stokes Gleichung
Contents:
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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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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