Scaling, self-similarity, and intermediate asymptotics:
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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch Russisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1996
|
| Schriftenreihe: | Cambridge texts in applied mathematics
14 |
| Links: | https://doi.org/10.1017/CBO9781107050242 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xv, 386 Seiten) |
| ISBN: | 9781107050242 |
Internformat
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| spelling | Barenblatt, G. I. Podobie, avtomodel'nost', promezhutochnai︠a︡ asimptotika. English Scaling, self-similarity, and intermediate asymptotics Grigory Isaakovich Barenblatt Scaling, Self-similarity, & Intermediate Asymptotics Cambridge Cambridge University Press 1996 1 Online-Ressource (xv, 386 Seiten) txt c cr Cambridge texts in applied mathematics 14 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. Erscheint auch als Druck-Ausgabe 9780521435161 Erscheint auch als Druck-Ausgabe 9780521435222 |
| spellingShingle | Barenblatt, G. I. Scaling, self-similarity, and intermediate asymptotics |
| title | Scaling, self-similarity, and intermediate asymptotics |
| title_alt | Podobie, avtomodel'nost', promezhutochnai︠a︡ asimptotika. Scaling, Self-similarity, & Intermediate Asymptotics |
| title_auth | Scaling, self-similarity, and intermediate asymptotics |
| title_exact_search | Scaling, self-similarity, and intermediate asymptotics |
| title_full | Scaling, self-similarity, and intermediate asymptotics Grigory Isaakovich Barenblatt |
| title_fullStr | Scaling, self-similarity, and intermediate asymptotics Grigory Isaakovich Barenblatt |
| title_full_unstemmed | Scaling, self-similarity, and intermediate asymptotics Grigory Isaakovich Barenblatt |
| title_short | Scaling, self-similarity, and intermediate asymptotics |
| title_sort | scaling self similarity and intermediate asymptotics |
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