Navier-Stokes Equations

by Peter Constantin, Ciprian Foias

Overview

Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.

Product Details

ISBN-13:	9780226115498
Publisher:	University of Chicago Press
Publication date:	07/27/1989
Series:	Chicago Lectures in Mathematics
Edition description:	1
Pages:	200
Product dimensions:	5.25(w) x 8.00(h) x 0.60(d)

About the Author

Peter Constantin is professor of mathematics at the University of Chicago. Ciprian Foias is Distinguished Professor in Mathematics at Indiana University.


Peter Constantin is professor of mathematics at the University of Chicago. Ciprian Foias is Distinguished Professor in Mathematics at Indiana University.

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

Editorial Reviews

Lecture notes of graduate courses given by the authors at Indiana University (1985-86) and the University of Chicago (1986-87). Paper edition, $14.95. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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