Scaling, Self-similarity, and Intermediate Asymptotics

Scaling, Self-similarity, and Intermediate Asymptotics pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Grigory Isaakovich Barenblatt
出品人:
页数:412
译者:
出版时间:1996-12-28
价格:USD 79.00
装帧:Paperback
isbn号码:9780521435222
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  • 数学 
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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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