Scaling, Self-similarity, and Intermediate Asymptotics : Dimensional Analysis and Intermediate Asymptotics Paperback / softback
by Grigory Isaakovich (University of Cambridge) Barenblatt
Part of the Cambridge Texts in Applied Mathematics series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:412 pages
- Publisher:Cambridge University Press
- Publication Date:12/12/1996
- Category:
- ISBN:9780521435222
Information
-
Out of stock
- Format:Paperback / softback
- Pages:412 pages
- Publisher:Cambridge University Press
- Publication Date:12/12/1996
- Category:
- ISBN:9780521435222
