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Scaling, Self-similarity, and Intermediate Asymptotics : Dimensional Analysis and Intermediate Asymptotics.
・ISBN 978-0-521-43522-2 paper GB£ 83.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-107-05024-2
| 著者・編者 | Barenblatt, Grigory Isaakovich, |
|---|---|
| シリーズ | Cambridge Texts in Applied Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1996 |
| ページ数 | 412 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10550＞ |
解説
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.