Scaling Self Similarity And Intermediate Asymptotics Cambridge Texts In Applied Mathematics

Author : G. I. Barenblatt
Publisher : Cambridge University Press
ISBN 13 : 9780521435222
Total Pages : 412 pages
Book Rating : 4.26/5 ( download)

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Download or read book Scaling, Self-similarity, and Intermediate Asymptotics written by G. I. Barenblatt and published by Cambridge University Press. This book was released on 1996-12-12 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Grigory Isaakovich Barenblatt
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.88/5 ( download)

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Download or read book Scaling, Self-similarity, and Intermediate Asymptotics written by Grigory Isaakovich Barenblatt and published by . This book was released on 2005 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G. I. Barenblatt
Publisher :
ISBN 13 : 9787506247252
Total Pages : 386 pages
Book Rating : 4.59/5 ( download)

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Download or read book Scaling, self-similarity, and intermediate asymptotics/Cambridge texts in applied mathematics/标度自相似性和中间渐近 written by G. I. Barenblatt and published by . This book was released on 2000 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G. I. Barenblatt
Publisher :
ISBN 13 : 9781107050242
Total Pages : 386 pages
Book Rating : 4.43/5 ( download)

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Download or read book Scaling, Self-similarity, and Intermediate Asymptotics written by G. I. Barenblatt and published by . This book was released on 1996 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G. I. Barenblatt
Publisher : Cambridge University Press
ISBN 13 : 9780521533942
Total Pages : 190 pages
Book Rating : 4.45/5 ( download)

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Download or read book Scaling written by G. I. Barenblatt and published by Cambridge University Press. This book was released on 2003-11-13 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : G. I. Barenblatt
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.44/5 ( download)

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Download or read book Similarity, Self-similarity, and Intermediate Asymptotics written by G. I. Barenblatt and published by . This book was released on 1979 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Grigory Isaakovich Barenblatt
Publisher : Cambridge University Press
ISBN 13 : 9780521533942
Total Pages : 188 pages
Book Rating : 4.45/5 ( download)

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Download or read book Scaling written by Grigory Isaakovich Barenblatt and published by Cambridge University Press. This book was released on 2003-11-13 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : G. I. Barenblatt
Publisher : CUP Archive
ISBN 13 : 9780521469203
Total Pages : 60 pages
Book Rating : 4.01/5 ( download)

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Download or read book Scaling Phenomena in Fluid Mechanics written by G. I. Barenblatt and published by CUP Archive. This book was released on 1994-12 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Andrew J. Majda
Publisher : Cambridge University Press
ISBN 13 : 9780521639484
Total Pages : 562 pages
Book Rating : 4.84/5 ( download)

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Download or read book Vorticity and Incompressible Flow written by Andrew J. Majda and published by Cambridge University Press. This book was released on 2002 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : James C. Robinson
Publisher : Cambridge University Press
ISBN 13 : 9780521632041
Total Pages : 488 pages
Book Rating : 4.48/5 ( download)

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Download or read book Infinite-Dimensional Dynamical Systems written by James C. Robinson and published by Cambridge University Press. This book was released on 2001-04-23 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.