Nonlinear diffusive waves:
This monograph deals with Burgers' equation and its generalisations. Such equations describe a wide variety of nonlinear diffusive phenomena, for instance, in nonlinear acoustics, laser physics, plasmas and atmospheric physics. The Burgers equation also has mathematical interest as a canonical...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1987
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This monograph deals with Burgers' equation and its generalisations. Such equations describe a wide variety of nonlinear diffusive phenomena, for instance, in nonlinear acoustics, laser physics, plasmas and atmospheric physics. The Burgers equation also has mathematical interest as a canonical nonlinear parabolic differential equation that can be exactly linearised. It is closely related to equations that display soliton behaviour and its study has helped elucidate other such nonlinear behaviour. The approach adopted here is applied mathematical. The author discusses fully the mathematical properties of standard nonlinear diffusion equations, and contrasts them with those of Burgers' equation. Of particular mathematical interest is the treatment of self-similar solutions as intermediate asymptotics for a large class of initial value problems whose solutions evolve into self-similar forms. This is achieved both analytically and numerically |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (vii, 246 pages) |
| ISBN: | 9780511569449 |
| DOI: | 10.1017/CBO9780511569449 |
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Datensatz im Suchindex
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| id | DE-604.BV043945750 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511569449 |
| language | English |
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| oclc_num | 992908331 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (vii, 246 pages) |
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| publishDate | 1987 |
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| publisher | Cambridge University Press |
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| spelling | Sachdev, P. L. Verfasser aut Nonlinear diffusive waves P.L. Sachdev Cambridge Cambridge University Press 1987 1 online resource (vii, 246 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This monograph deals with Burgers' equation and its generalisations. Such equations describe a wide variety of nonlinear diffusive phenomena, for instance, in nonlinear acoustics, laser physics, plasmas and atmospheric physics. The Burgers equation also has mathematical interest as a canonical nonlinear parabolic differential equation that can be exactly linearised. It is closely related to equations that display soliton behaviour and its study has helped elucidate other such nonlinear behaviour. The approach adopted here is applied mathematical. The author discusses fully the mathematical properties of standard nonlinear diffusion equations, and contrasts them with those of Burgers' equation. Of particular mathematical interest is the treatment of self-similar solutions as intermediate asymptotics for a large class of initial value problems whose solutions evolve into self-similar forms. This is achieved both analytically and numerically Nonlinear waves Nichtlineare Diffusionsgleichung (DE-588)4171749-1 gnd rswk-swf Burgers-Hopf-Gleichung (DE-588)4147012-6 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 s 1\p DE-604 Burgers-Hopf-Gleichung (DE-588)4147012-6 s 2\p DE-604 Nichtlineare Diffusionsgleichung (DE-588)4171749-1 s 3\p DE-604 Erscheint auch als Druckausgabe 978-0-521-09303-3 Erscheint auch als Druckausgabe 978-0-521-26593-5 https://doi.org/10.1017/CBO9780511569449 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sachdev, P. L. Nonlinear diffusive waves Nonlinear waves Nichtlineare Diffusionsgleichung (DE-588)4171749-1 gnd Burgers-Hopf-Gleichung (DE-588)4147012-6 gnd Nichtlineare Welle (DE-588)4042102-8 gnd |
| subject_GND | (DE-588)4171749-1 (DE-588)4147012-6 (DE-588)4042102-8 |
| title | Nonlinear diffusive waves |
| title_auth | Nonlinear diffusive waves |
| title_exact_search | Nonlinear diffusive waves |
| title_full | Nonlinear diffusive waves P.L. Sachdev |
| title_fullStr | Nonlinear diffusive waves P.L. Sachdev |
| title_full_unstemmed | Nonlinear diffusive waves P.L. Sachdev |
| title_short | Nonlinear diffusive waves |
| title_sort | nonlinear diffusive waves |
| topic | Nonlinear waves Nichtlineare Diffusionsgleichung (DE-588)4171749-1 gnd Burgers-Hopf-Gleichung (DE-588)4147012-6 gnd Nichtlineare Welle (DE-588)4042102-8 gnd |
| topic_facet | Nonlinear waves Nichtlineare Diffusionsgleichung Burgers-Hopf-Gleichung Nichtlineare Welle |
| url | https://doi.org/10.1017/CBO9780511569449 |
| work_keys_str_mv | AT sachdevpl nonlineardiffusivewaves |