Scaling, Self-similarity, and Intermediate Asymptotics pdf epub mobi txt 电子书 下载 2024


Scaling, Self-similarity, and Intermediate Asymptotics

简体网页||繁体网页
Grigory Isaakovich Barenblatt
Cambridge University Press
1996-12-28
412
USD 79.00
Paperback
9780521435222

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Scaling, Self-similarity, and Intermediate Asymptotics epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Scaling, Self-similarity, and Intermediate Asymptotics epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Scaling, Self-similarity, and Intermediate Asymptotics pdf epub mobi txt 电子书 下载 2024



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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.

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