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	Non disponible
ISBN 13	9780521435222
ISBN 10	0521435226
Titre	Scaling, Self-similarity, and Intermediate Asymptotics
Auteur	Grigory Isaakovich Barenblatt
Série	Cambridge Texts In Applied Mathematics
État	Non disponible
Type de reliure	Paperback
Éditeur	Cambridge University Press
Année de publication	1996-12-12
Nombre de pages	412
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible