Navier-Stokes Equations and Nonlinear Functional Analysis
2nd Edition
£43.99
Part of CBMS-NSF Regional Conference Series in Applied Mathematics
- Author: Roger Temam, Université de Paris-Sud, Orsay, France
- Date Published: December 1996
- availability: Available in limited markets only
- format: Paperback
- isbn: 9780898713404
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This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds.
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×Product details
- Edition: 2nd Edition
- Date Published: December 1996
- format: Paperback
- isbn: 9780898713404
- length: 155 pages
- dimensions: 252 x 173 x 10 mm
- weight: 0.278kg
- availability: Available in limited markets only
Table of Contents
Preface to the second edition
Introduction
Part I. Questions Related to the Existence, Uniqueness and Regularity of Solutions:
1. Representation of a Flow: the Navier-Stokes Equations
2. Functional Setting of the Equations
3. Existence and Uniqueness Theorems (Mostly Classical Results)
4. New a priori Estimates and Applications
5. Regularity and Fractional Dimension
6. Successive Regularity and Compatibility Conditions at t=0 (Bounded Case)
7. Analyticity in Time
8. Lagrangian Representation of the Flow
Part II. Questions Related to Stationary Solutions and Functional Invariant Sets (Attractors):
9. The Couette-Taylor Experiment
10. Stationary Solutions of the Navier-Stokes Equations
11. The Squeezing Property
12. Hausdorff Dimension of an Attractor
Part III. Questions Related to the Numerical Approximation:
13. Finite Time Approximation
14. Long Time Approximation of the Navier-Stokes Equations
Appendix. Inertial Manifolds and Navier-Stokes Equations
Comments and Bibliography
Comments and Bibliography
Update for the Second Edition
References.
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