Scaling, Self-Similarity, and Intermediate Asymptotics
Dimensional Analysis and Intermediate Asymptotics
By (author) Grigory Isaakovich Barenblatt
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Scaling, Self-Similarity, and Intermediate Asymptotics by Grigory Isaakovich Barenblatt
Book DescriptionScaling 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.
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Book DetailsISBN: 9780521435222
(228mm x 152mm x 23mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 12-Dec-1996
Country of Publication: United Kingdom
Books By Author Grigory Isaakovich Barenblatt
Flow, Deformation and Fracture, Hardback (June 2014)
Drawing on fourty years of teaching experience, the author presents the basic concepts of mathematical modeling of fluids and solids.
Scaling, Paperback (November 2003)» View all books by Grigory Isaakovich Barenblatt
An advanced 2003 textbook on how to discover and use scaling laws in natural sciences and engineering.
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Author Biography - Grigory Isaakovich Barenblatt
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.
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