Scaling, Self-similarity, and Intermediate Asymptotics

Grigory Isaakovich Barenblatt

ISBN 10: 0521435226 / ISBN 13: 9780521435222

Published by Cambridge University Press, GB, 1996

About this Item

Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory, and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium. Numerous examples from a diverse range of fields, including theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are presented for which the ideas of scaling, intermediate asymptotics, self-similarity, and renormalisation were of decisive value in modelling.

Seller Inventory # LU-9780521435222

Bibliographic Details

• Title: Scaling, Self-similarity, and Intermediate Asymptotics
• Publisher: Cambridge University Press, GB
• Publication Date: 1996
• Language: English
• ISBN 10: 0521435226
• ISBN 13: 9780521435222
• Binding: Paperback
• Edition: 1st PB Edition.
• Condition: New
• Dimensions: 15.24W x 2.62H x 22.86D centimeters 15.24 centimeters width by 2.62 centimeters height by 22.86 centimeters depth
• Weight: 600 grams

About this title

Synopsis

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

About the Author

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.