Scaling, Self-Similarity and Intermediate Asymptotics Dimensional Analysis and Intermediate Asymptotics

Name: Scaling, Self-Similarity and Intermediate Asymptotics Dimensional Analysis and Intermediate Asymptotics
Price: 51.34 USD
Availability: InStock
ISBN: 9780521435222

ISBN-10: 0521435226

ISBN-13: 9780521435222

Edition: 1996

Authors: Grigory Isaakovich Barenblatt, D. G. Crighton, M. J. Ablowitz, S. H. Davis, E. J. Hinch

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Description:

Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity. Self-similar (scaling) phenomena repeat themselves in time and/or space. The property of self-similarity simplifies substantially the mathematical modeling of phenomena and its analysis--experimental, analytical and computational. The book begins from a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena. Classical examples of scaling phenomena are presented. It is demonstrated that scaling comes on a stage when the influence of fine details of initial and/or boundary conditions disappeared but the system is still far from ultimate…

Book details

List price: $99.99
Copyright year: 1996
Publisher: Cambridge University Press
Publication date: 12/12/1996
Binding: Paperback
Pages: 412
Size: 5.98" wide x 9.02" long x 0.91" tall
Weight: 1.628
Language: English



Preface


Introduction



Dimensions, dimensional analysis and similarity



The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics


Self-similar solutions



Self-similarities of the second kind: first examples



Self-similarities of the second kind: further examples



Classification of similarity rules and self-similarity solutions


Recipe for application of similarity analysis



Scaling and transformation groups. Renormalization groups



Self-similar solutions and travelling waves



Invariant solutions: special problems of the theory



Scaling in deformation and fracture in solids



Scaling in turbulence



Scaling in geophysical fluid dynamics



Scaling: miscellaneous special problems