Similarity Self Similarity And Intermediate Asymptotics

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Scaling, Self-similarity, and Intermediate Asymptotics

G. I. Barenblatt
Scaling Self similarity and Intermediate Asymptotics Book PDF

Author : G. I. Barenblatt
Publisher : Cambridge University Press
Page : 412 pages
File Size : 51,9 Mb
Release : 1996-12-12
Category : Mathematics
ISBN : 0521435226

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Scaling, Self-similarity, and Intermediate Asymptotics by G. I. Barenblatt Pdf

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.

Scaling, Self-similarity, and Intermediate Asymptotics

Grigory Isaakovich Barenblatt
Scaling Self similarity and Intermediate Asymptotics Book PDF

Author : Grigory Isaakovich Barenblatt
Publisher : Unknown
Page : 386 pages
File Size : 55,8 Mb
Release : 2005
Category : Electronic
ISBN : OCLC:907499988

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Scaling, Self-similarity, and Intermediate Asymptotics by Grigory Isaakovich Barenblatt Pdf

Similarity, Self-Similarity, and Intermediate Asymptotics

G. Barenblatt
Similarity Self Similarity and Intermediate Asymptotics Book PDF

Author : G. Barenblatt
Publisher : Springer
Page : 0 pages
File Size : 49,6 Mb
Release : 2013-05-14
Category : Technology & Engineering
ISBN : 1461585708

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Similarity, Self-Similarity, and Intermediate Asymptotics by G. Barenblatt Pdf

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 not only great good but also notori ously awkward questions about the role of the human mind. The human partner in the interaction of a man and a computer often turns out to be the weak spot in the relationship. The problem of formulating rules and extracting ideas from vast masses of computational or experimental results remains a matter for our brains, our minds. This problem is closely connected with the recognition of patterns. It is not just a coincidence that in both the Russian and English languages the word "obvious" has two meanings-not only something easily and clearly understood, but also something immediately evident to our eyes. The identification of forms and the search for invariant relations constitute the foundation of pattern recognition; thus, we identify the similarity oflarge and small triangles, etc.

Scaling

G. I. Barenblatt
Scaling Book PDF

Author : G. I. Barenblatt
Publisher : Cambridge University Press
Page : 187 pages
File Size : 49,6 Mb
Release : 2003-11-13
Category : Mathematics
ISBN : 9780521826570

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Scaling by G. I. Barenblatt Pdf

The author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural consequences of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.

Scaling Phenomena in Fluid Mechanics

G. I. Barenblatt
Scaling Phenomena in Fluid Mechanics Book PDF

Author : G. I. Barenblatt
Publisher : CUP Archive
Page : 60 pages
File Size : 42,7 Mb
Release : 1994-12
Category : Mathematics
ISBN : 0521469201

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Scaling Phenomena in Fluid Mechanics by G. I. Barenblatt Pdf

This book presents the text of the inaugural lecture of Professor G. I. Barenblatt which deals with a study of scaling phenomena in several topics studied by G. I. Taylor throughout his varied career.

Theoretical Mantle Dynamics

Neil M. Ribe
Theoretical Mantle Dynamics Book PDF

Author : Neil M. Ribe
Publisher : Cambridge University Press
Page : 331 pages
File Size : 52,5 Mb
Release : 2018-10-04
Category : Science
ISBN : 9781107174467

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Theoretical Mantle Dynamics by Neil M. Ribe Pdf

Comprehensive, mathematically advanced treatment of the continuum mechanics of the Earth's mantle and the geodynamic models used to investigate it.

Vorticity and Incompressible Flow

Andrew J. Majda,Andrea L. Bertozzi
Vorticity and Incompressible Flow Book PDF

Author : Andrew J. Majda,Andrea L. Bertozzi
Publisher : Cambridge University Press
Page : 562 pages
File Size : 45,8 Mb
Release : 2002
Category : Mathematics
ISBN : 0521639484

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Vorticity and Incompressible Flow by Andrew J. Majda,Andrea L. Bertozzi Pdf

This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.

Self-Similarity and Beyond

P.L. Sachdev
Self Similarity and Beyond Book PDF

Author : P.L. Sachdev
Publisher : CRC Press
Page : 344 pages
File Size : 43,6 Mb
Release : 2019-06-13
Category : Mathematics
ISBN : 1420035711

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Self-Similarity and Beyond by P.L. Sachdev Pdf

Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out. Self-Similarity and Beyond presents

Introduction to Symmetry Analysis Paperback with CD-ROM

Brian Cantwell
Introduction to Symmetry Analysis Paperback with CD ROM Book PDF

Author : Brian Cantwell
Publisher : Cambridge University Press
Page : 660 pages
File Size : 40,6 Mb
Release : 2002-09-23
Category : Mathematics
ISBN : 0521777402

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Introduction to Symmetry Analysis Paperback with CD-ROM by Brian Cantwell Pdf

An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.

Scaling

Grigory Isaakovich Barenblatt
Scaling Book PDF

Author : Grigory Isaakovich Barenblatt
Publisher : Cambridge University Press
Page : 188 pages
File Size : 41,8 Mb
Release : 2003-11-13
Category : Mathematics
ISBN : 0521533945

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Scaling by Grigory Isaakovich Barenblatt Pdf

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 students, the book can also be used independently by biologists, chemists, astronomers, engineers and geoscientists.

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

Bahman Zohuri
Dimensional Analysis and Self Similarity Methods for Engineers and Scientists Book PDF

Author : Bahman Zohuri
Publisher : Springer
Page : 372 pages
File Size : 48,5 Mb
Release : 2015-04-15
Category : Technology & Engineering
ISBN : 9783319134765

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Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists by Bahman Zohuri Pdf

This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems across many diverse fields. Of particular interest is the book’s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering. Numerous practical examples of dimensional problems are presented throughout, allowing readers to link the book’s theoretical explanations and step-by-step mathematical solutions to practical implementations.