Navier-Stokes Equations and Nonlinear Functional Analysis - Brossura

Temam, Roger

Brossura

ISBN 10: 0898713404 ISBN 13: 9780898713404

Casa editrice: Society for Industrial and Applied Mathematics, 1996

Riassunto

This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.

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Contenuti

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.

Product Description

Book by Temam Roger

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0898713404
• ISBN 13: 9780898713404
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 155
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile