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:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1996
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| Schriftenreihe: | Cambridge texts in applied mathematics
14 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xv, 386 pages) |
| ISBN: | 9781107050242 |
| DOI: | 10.1017/CBO9781107050242 |
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| 490 | 0 | |a Cambridge texts in applied mathematics |v 14 | |
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| 650 | 4 | |a Mathematische Physik | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Barenblatt, G. I. |
| author_facet | Barenblatt, G. I. |
| author_role | aut |
| author_sort | Barenblatt, G. I. |
| author_variant | g i b gi gib |
| building | Verbundindex |
| bvnumber | BV043940533 |
| classification_rvk | SK 290 SK 560 UG 3900 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781107050242 (OCoLC)967600064 (DE-599)BVBBV043940533 |
| dewey-full | 530.1/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/5 |
| dewey-search | 530.1/5 |
| dewey-sort | 3530.1 15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9781107050242 |
| format | Electronic eBook |
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| id | DE-604.BV043940533 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781107050242 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349503 |
| oclc_num | 967600064 |
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| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xv, 386 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge texts in applied mathematics |
| spelling | Barenblatt, G. I. Verfasser aut Podobie, avtomodel'nost', promezhutochnai͡a asimptotika Scaling, self-similarity, and intermediate asymptotics Grigory Isaakovich Barenblatt Scaling, Self-similarity, & Intermediate Asymptotics Cambridge Cambridge University Press 1996 1 online resource (xv, 386 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge texts in applied mathematics 14 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Mathematische Physik Mathematical physics Dimensional analysis Differential equations / Asymptotic theory Skalierung (DE-588)4055202-0 gnd rswk-swf Renormierung (DE-588)4128419-7 gnd rswk-swf Selbstähnlichkeit (DE-588)4286650-9 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Skalierung (DE-588)4055202-0 s Selbstähnlichkeit (DE-588)4286650-9 s Renormierung (DE-588)4128419-7 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-43516-1 Erscheint auch als Druckausgabe 978-0-521-43522-2 https://doi.org/10.1017/CBO9781107050242 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barenblatt, G. I. Scaling, self-similarity, and intermediate asymptotics Mathematische Physik Mathematical physics Dimensional analysis Differential equations / Asymptotic theory Skalierung (DE-588)4055202-0 gnd Renormierung (DE-588)4128419-7 gnd Selbstähnlichkeit (DE-588)4286650-9 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4055202-0 (DE-588)4128419-7 (DE-588)4286650-9 (DE-588)4037952-8 |
| title | Scaling, self-similarity, and intermediate asymptotics |
| title_alt | Podobie, avtomodel'nost', promezhutochnai͡a 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 |
| topic | Mathematische Physik Mathematical physics Dimensional analysis Differential equations / Asymptotic theory Skalierung (DE-588)4055202-0 gnd Renormierung (DE-588)4128419-7 gnd Selbstähnlichkeit (DE-588)4286650-9 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Mathematische Physik Mathematical physics Dimensional analysis Differential equations / Asymptotic theory Skalierung Renormierung Selbstähnlichkeit |
| url | https://doi.org/10.1017/CBO9781107050242 |
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