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Saturday, April 25, 2020 | History

5 edition of Similarity, self-similarity, and intermediate asymptotics found in the catalog.

Similarity, self-similarity, and intermediate asymptotics

  • 213 Want to read
  • 6 Currently reading

Published by Consultants Bureau in New York .
Written in English

    Subjects:
  • Mathematical physics.,
  • Dimensional analysis.,
  • Differential equations -- Asymptotic theory.

  • Edition Notes

    StatementG. I. Barenblatt ; translated from Russian by Norman Stein ; translation editor, Milton Van Dyke.
    Classifications
    LC ClassificationsQA401 .B3713
    The Physical Object
    Paginationxvii, 218 p. :
    Number of Pages218
    ID Numbers
    Open LibraryOL4411105M
    ISBN 100306109565
    LC Control Number79014621

    Starting from dimensional analysis and physical similarity, G. Barenblatt describes the art of discovering scaling laws. He demonstrates the concepts of intermediate asymptotics and the renormalization group as natural consequences of self-similarity and shows how and when these tools can tackle Price: $ Scaling, Self-similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics (Cambridge Texts in Applied Mathematics Book 14) Grigory Isaakovich out of 5 stars /5(2).


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Similarity, self-similarity, and intermediate asymptotics by G. I. Barenblatt Download PDF EPUB FB2

Barenblatt's book, Scaling, self similarity and intermediate asymptotics, addresses the understanding of physical processes and the interpretation of calculations revealing these processes, two mental problems intertwined closely with the deeper more general issues raised by the recognition of by: 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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Professor Grigorii Isaakovich Barenblatt has written an outstanding book that contains an attempt to answer the very important questions of how to under­ stand complex physical processes and how to interpret results obtained by numerical computations. Progress in numerical calculation brings notBrand: Springer US.

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. The book begins from a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena.

flow in porous strata, atmospheric and oceanic phenomena are presented for which the ideas of scaling, intermediate asymptotics, self-similarity and renormalization group were of decisive value in.

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Intermediate Scaling of Turbulent Momentum and Heat Transfer in a Transitional Rough Channel J. Heat Transfer (March, ) Transient Fluid Flow in Porous Media: Inertia Cited by: **) Despite what is said in p.

of the review article, equation (7) is essentially non- linear, and therefore, the whole formulation of the problem is nonlinear.

Self-similarity dimensional analysis, and intermediate asymptotics However, one can proceed further. Let us recall that heat liberation at a point is an by: 4. Self-similarity of the first kind is actually the exception, with the second kind providing a much richer set of solutions.

In this pioneering book he introduces us to such important new concepts as incomplete self-similarity and intermediate asymptotics, and shows how they enlarge the scope of similitudeAuthor: M. Van Dyke. Numerous examples from various fields--from theoretical biology to fracture mechanics, turbulence, flame propagation, flow in porous strata, atmospheric and oceanic phenomena are presented for which the ideas of scaling, intermediate asymptotics, self-similarity and renormalization group were of decisive value in modeling.

The treatment of self-similar solutions as intermediate asymptotics en-ables one to clarify fully the role of dimensional analysis in their construc-tion. Indeed, in many cases the self-similarity of intermediate asymptotics can be established and the form of self-similar intermediate asymptotics ob.

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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.

(source: Nielsen Book Data). Similarity 52 2 The construction of intermediate-asymptotic solutions using dimensional analysis. Self-similar solutions 64 Heat propagation from a concentrated instantaneous source 64 Phenomena at the initial stage of a nuclear explosion 76 Self-similarity.

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Scaling, Self-similarity, and Intermediate Asymptotics 作者: Grigory Isaakovich Barenblatt 出版社: Cambridge University Press 副标题: Dimensional Analysis and Intermediate Asymptotics 出版年: 页数: 定价: USD 装帧: Paperback ISBN: Author: Grigory Isaakovich Barenblatt.

Scaling, Self-Similarity, and Intermediate Asymptotics book. Read reviews from world’s largest community for readers. Beginning from a nontraditional exp /5(5). Subexponential Estimates of the Rate of Convergence to the Invariant Measure for Stochastic Differential Equations A General Framework for Mining Concept-Drifting Data Streams with Skewed DistributionsAuthor: W.

Ames. 图书Scaling, Self-similarity, and Intermediate Asymptotics Dimensional Analysis and Intermediate Asymptotics 介绍、书评、论坛及推荐. Numerous examples from various fields—from theoretical biology to fracture mechanics, turbulence, flame propagation, flow in porous strata, atmospheric and oceanic phenomena are presented for which the ideas of scaling, intermediate asymptotics, self-similarity and renormalization group were of decisive value in : Cambridge University Press.

Scaling, Self-similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics (Cambridge Texts in Applied Mathematics) by Barenblatt, Grigory and a great selection of related books, art and collectibles available now at   Open Library is an open, editable library catalog, building towards a web page for every book ever published.

Scaling, self-similarity, and intermediate asymptotics by G. Barenblatt,Cambridge University Press edition, in EnglishPages: Additional Physical Format: Online version: Barenblatt, G.I.

Similarity, self-similarity, and intermediate asymptotics. New York: Consultants Bureau, ©   Scaling, Self-similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics.

Front Cover G. Barenblatt. Cambridge University. In this book, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here.

Get this from a library. Scaling, self-similarity, and intermediate asymptotics. [G I Barenblatt] -- Publisher Description (unedited publisher data) Counter Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially.

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Free shipping for many products. In recent years there has been a surge of interest in self-similar solutions of the second solutions are not newly discovered; they had been identified and in fact so named by Zel’dovich inin the context of a variety of problems, such as shock waves in gas dynamics [18], [34], [35], and filtration through elastoplastic materials [5], [10], [7, 8].Author: L.

Peletier. Illegitimate tendencies in the use of the concept of self-similar phenomena☆. Author links open overlay panel V.V. Markov. Show moreAuthor: V.V. Markov. Scaling, Self-similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics, G.

Barenblatt, Cambridge University Press,pages. Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity. Abstract. Among the theoretical method for solving many problems of applied mathematics, physics, fluid mechanics and any related technologies both numerically and analytically use some approach known as asymptotical method needs some special attention.

In this chapter the main aim is to introduce the reader to the mathematical methods of asymptotic and perturbation theory and Author: Bahman Zohuri. Scaling, Self-similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics.

Front Cover G. Barenblatt. Cambridge University. In this book, the author describes and teaches the art of discovering scaling laws, starting from. Starting from dimensional analysis and physical similarity, G. Barenblatt describes the art of discovering scaling laws.

He demonstrates the concepts of intermediate asymptotics and the renormalization group as natural consequences of self-similarity and shows how and when these tools can tackle the task at hand, and when they cannot.

Based on courses taught to undergraduate and graduate. A good introduction on self-similarity, scaling and intermediate asymptotically can be found in the book by Barenblatt, Scaling, Self similarity and Intermediate Asymptotics Cite.Flow, Deformation and Fracture: Lectures on Fluid Mechanics and the Mechanics of Deformable Solids for Mathematicians and Physicists (Cambridge Texts in Applied Mathematics) by Barenblatt, Grigory Isaakovich and a great selection of related books, art and collectibles available now at ♥ Book Title: Applied Dimensional Analysis and Modeling ♣ Name Author: Thomas Szirtes ∞ Launching: Info ISBN Link: ⊗ Detail ISBN code: ⊕ Number Pages: Total sheet ♮ News id: j_h-UR9fkFgC Download File Start Reading ☯ Full Synopsis: "Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step.