Scaling, Self-similarity, and Intermediate Asymptotics
Scaling, Self-similarity, and Intermediate Asymptotics
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Summary
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.
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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 | Unavailable |
| ISBN 13 | 9780521435222 |
| ISBN 10 | 0521435226 |
| Title | Scaling, Self-similarity, and Intermediate Asymptotics |
| Author | Grigory Isaakovich Barenblatt |
| Series | Cambridge Texts In Applied Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 1996-12-12 |
| Number of pages | 412 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |