Navier-Stokes equations and nonlinear functional analysis
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| Main Author | |
|---|---|
| Corporate Author | |
| Format | Electronic eBook |
| Language | English |
| Published |
Philadelphia, Pa. :
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),
1995.
|
| Edition | 2nd edition |
| Series | CBMS-NSF regional conference series in applied mathematics ;
66. |
| Subjects | |
| Online Access | Full text |
| ISBN | 9781611970050 1611970059 9781680157895 1680157892 0898713404 9780898713404 |
| Physical Description | 1 online resource (xiv, 141 pages) : illustrations. |
Cover
Table of Contents:
- Preface to the Second Edition
- Introduction.
- Part I: Questions related to the existence, uniqueness and regularity of solutions. Chapter 1: Representation of a flow: The Navier-Stokes equations
- Chapter 2: Functional setting of the equations
- Chapter 3: Existence and uniqueness theorems (mostly classical results)
- Chapter 4: New a priori estimates and applications
- Chapter 5: Regularity and fractional dimension
- Chapter 6: Successive regularity and compatibility conditions at t=0 (bounded case)
- Chapter 7: Analyticity in time
- Chapter 8: Lagrangian representation of the flow.
- Part II: Questions related to stationary solutions and functional invariant sets (attractors). Chapter 9: The Couette-Taylor experiment
- Chapter 10: Stationary solutions of the Navier-Stokes equations
- Chapter 11: The squeezing property
- Chapter 12: Hausdorff dimension of an attractor.
- Part III: Questions related to the numerical approximation. Chapter 13: Finite time approximation
- Chapter 14: Long time approximation of the Navier-Stokes equations
- Appendix: Inertial manifolds and Navier-Stokes equations
- Comments and bibliography
- Update for the Second Edition
- References.