Scaling, Self-similarity, and Intermediate Asymptotics by Grigory Isaakovich Barenblatt

Scaling, Self-similarity, and Intermediate Asymptotics by Grigory Isaakovich Barenblatt

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.

'A splendid and very readable work … Greatly recommended!' Sjoerd Rienstra, ITW Nieuws

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.

SKU	Nicht verfügbar
ISBN 13	9780521435222
ISBN 10	0521435226
Titel	Scaling, Self-similarity, and Intermediate Asymptotics
Autor	Grigory Isaakovich Barenblatt
Serie	Cambridge Texts In Applied Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Cambridge University Press
Erscheinungsjahr	1996-12-12
Seitenanzahl	412
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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