UID:
almahu_9948233555502882
Format:
1 online resource (xv, 386 pages) :
,
digital, PDF file(s).
ISBN:
9781107050242 (ebook)
Series Statement:
Cambridge texts in applied mathematics ; 14
Uniform Title:
Podobie, avtomodel'nost', promezhutochnai︠a︡ asimptotika.
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Additional Edition:
Print version: ISBN 9780521435161
Language:
English
URL:
https://doi.org/10.1017/CBO9781107050242
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