Navier-Stokes equations /
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| Author / Creator: | Constantin, P. (Peter), 1951- |
|---|---|
| Imprint: | Chicago : University of Chicago Press, c1988. |
| Description: | ix, 190 p. ; 21 cm. |
| Language: | English |
| Series: | Chicago lectures in mathematics. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/946384 |
Table of 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 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