G. I. Barenblatt, Grigory Isaakovich Barenblatt, Barenblatt Grigory Isaakovich

Scaling, Self-Similarity, and Intermediate Asymptotics

Dimensional Analysis and Intermediate Asymptotics

• Broschiertes Buch

Produktbeschreibung

This book deals with a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 412
• Erscheinungstermin: 18. April 2009
• Englisch
• Abmessung: 229mm x 152mm x 25mm
• Gewicht: 666g
• ISBN-13: 9780521435222
• ISBN-10: 0521435226
• Artikelnr.: 21117980

Autorenporträt

G. I. Barenblatt is Emeritus G. I. Taylor Professor of Fluid Mechanics at the University of Cambridge, Emeritus Professor at the University of California, Berkeley, and Principal Scientist in the Institute of Oceanology of the Russian Academy of Sciences, Moscow.

Inhaltsangabe

Preface
Introduction
1. Dimensions, dimensional analysis and similarity
2. The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics. Self-similar solutions
3. Self-similarities of the second kind: first examples
4. Self-similarities of the second kind: further examples
5. Classification of similarity rules and self-similarity solutions. Recipe for application of similarity analysis
6. Scaling and transformation groups. Renormalization groups. 7. Self-similar solutions and travelling waves
8. Invariant solutions: special problems of the theory
9. Scaling in deformation and fracture in solids
10. Scaling in turbulence
11. Scaling in geophysical fluid dynamics
12. Scaling: miscellaneous special problems.