Scaling
(Sprache: Englisch)
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...
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Klappentext zu „Scaling “
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.Inhaltsverzeichnis zu „Scaling “
Foreword; Introduction; 1. Dimensional analysis and physical similarity; 2. Self-similarity and intermediate asymptotics; 3. Scaling laws and self-similar solutions which cannot be obtained by dimensional analysis; 4. Complete and incomplete similarity; 5. Scaling and transformation groups and the renormalisation group; 6. Self-similar solutions and traveling waves; 7. Scaling laws and fractals; 8. Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers; References; Index.
Autoren-Porträt von Grigori Barenblatt, G. I. Barenblatt
G. I. Barenblatt is Emeritus G. I. Taylor Professor of Fluid Mechanics at the University of Cambridge, Emeritus Professor at the University of California, Berkeley, and Principal Scientist in the Institute of Oceanology of the Russian Academy of Sciences, Moscow.
Bibliographische Angaben
- Autoren: Grigori Barenblatt , G. I. Barenblatt
- 188 Seiten, Maße: 15,2 x 22,9 cm, Kartoniert (TB), Englisch
- Herausgegeben: D. G. Crighton
- Verlag: Cambridge University Press
- ISBN-10: 0521533945
- ISBN-13: 9780521533942
- Erscheinungsdatum: 16.12.2010
Sprache:
Englisch
Rezension zu „Scaling “
'... deserves to be placed on the book shelf of every working applied mathematician.' ZAMP 'This book will become a classic ... Barenblatt's delightful book though, is more than [a] just an introduction to scaling: it can also be read as a philosophy of mathematical modelling. The writing is witty, insightful, and sometimes moving. Every time you read the book, you return refreshed and inspired ... One can only conclude that any mathematical scientist could be inspired to fundamental advances in their own domain after studying this marvellous book.' The Journal of Fluid Mechanics 'Professor Barenblatt has produced an admirable introduction to this subject, which combines lucid mathematical treatments with perceptive discussions of the principles ... Undergraduate and graduate students will benefit from courses based on this book, but the specialist will also find paradoxes and controversies quietly resolved by the careful use of the scaling methods discussed by Barenblatt. Needless to say, coming from this author, the book is clearly and elegantly written, well presented and well illustrated.' Contemporary Physics '... written in a concise and clear fashion ... Readers will be rewarded with a wealth of examples, with guiding general principles and with profound insights.' Mathematical Reviews ' ... a superb introduction ...' Zentralblatt MATH
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