Scaling, Self-similarity, and Intermediate Asymptotics

Scaling, Self-similarity, and Intermediate Asymptotics (English, Hardcover, Barenblatt Grigory Isaakovich)

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Scaling, Self-similarity, and Intermediate Asymptotics  (English, Hardcover, Barenblatt Grigory Isaakovich)

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    Highlights
    • Language: English
    • Binding: Hardcover
    • Publisher: Cambridge University Press
    • Genre: Mathematics
    • ISBN: 9780521435161, 9780521435161
    • Pages: 408
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  • Description
    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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    Specifications
    Book Details
    Imprint
    • Cambridge University Press
    Series & Set Details
    Series Name
    • Cambridge Texts in Applied Mathematics
    Dimensions
    Width
    • 25 mm
    Height
    • 235 mm
    Length
    • 157 mm
    Weight
    • 883 gr
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