Travelling Waves in Nonlinear Diffusion-Convection Reaction:
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2004
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
60 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This monograph has grown out of research we started in 1987, although the foundations were laid in the 1970's when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear degenerate diffusion. Brian worked under the guidance of Bert Peletier at the University of Sussex in Brighton, England, and, later at Delft University of Technology in the Netherlands on extending the earlier mathematics to include nonlinear convection; while Robert worked at Lomonosov State University in Moscow under the supervision of Anatolii Kalashnikov on generalizing the earlier mathematics to include nonlinear absorption. We first met at a conference held in Rome in 1985. In 1987 we met again in Madrid at the invitation of Ildefonso Diaz, where we were both staying at 'La Residencia'. As providence would have it, the University 'Complutense' closed down during this visit in response to student demonstrations, and, we were very much left to our own devices. It was natural that we should gravitate to a research topic of common interest. This turned out to be the characterization of the phenomenon of finite speed of propagation for nonlinear reaction-convection-diffusion equations. Brian had just completed some work on this topic for nonlinear diffusion-convection, while Robert had earlier done the same for nonlinear diffusion-absorption. There was no question but that we bundle our efforts on the general situation |
| Beschreibung: | 1 Online-Ressource (IX, 210 p) |
| ISBN: | 9783034879644 9783034896382 |
| DOI: | 10.1007/978-3-0348-7964-4 |
Internformat
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Datensatz im Suchindex
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| author2 | Gilding, Brian H. Kersner, Robert |
| author2_role | edt edt |
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| author_facet | Gilding, Brian H. Kersner, Robert |
| building | Verbundindex |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-7964-4 |
| format | Electronic eBook |
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| id | DE-604.BV042421999 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034879644 9783034896382 |
| language | English |
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| publishDate | 2004 |
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| series | Progress in Nonlinear Differential Equations and Their Applications |
| series2 | Progress in Nonlinear Differential Equations and Their Applications |
| spelling | Travelling Waves in Nonlinear Diffusion-Convection Reaction edited by Brian H. Gilding, Robert Kersner Basel Birkhäuser Basel 2004 1 Online-Ressource (IX, 210 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 60 This monograph has grown out of research we started in 1987, although the foundations were laid in the 1970's when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear degenerate diffusion. Brian worked under the guidance of Bert Peletier at the University of Sussex in Brighton, England, and, later at Delft University of Technology in the Netherlands on extending the earlier mathematics to include nonlinear convection; while Robert worked at Lomonosov State University in Moscow under the supervision of Anatolii Kalashnikov on generalizing the earlier mathematics to include nonlinear absorption. We first met at a conference held in Rome in 1985. In 1987 we met again in Madrid at the invitation of Ildefonso Diaz, where we were both staying at 'La Residencia'. As providence would have it, the University 'Complutense' closed down during this visit in response to student demonstrations, and, we were very much left to our own devices. It was natural that we should gravitate to a research topic of common interest. This turned out to be the characterization of the phenomenon of finite speed of propagation for nonlinear reaction-convection-diffusion equations. Brian had just completed some work on this topic for nonlinear diffusion-convection, while Robert had earlier done the same for nonlinear diffusion-absorption. There was no question but that we bundle our efforts on the general situation Mathematics Differential equations, partial Genetics / Mathematics Physiology / Mathematics Partial Differential Equations Genetics and Population Dynamics Physiological, Cellular and Medical Topics Mathematik Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd rswk-swf Wanderwelle (DE-588)4189075-9 gnd rswk-swf Konvektions-Diffusionsgleichung (DE-588)4479539-7 gnd rswk-swf Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 s Reaktions-Diffusionsgleichung (DE-588)4323967-5 s Konvektions-Diffusionsgleichung (DE-588)4479539-7 s Wanderwelle (DE-588)4189075-9 s 1\p DE-604 Gilding, Brian H. edt Kersner, Robert edt Progress in Nonlinear Differential Equations and Their Applications 60 (DE-604)BV036582883 60 https://doi.org/10.1007/978-3-0348-7964-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Travelling Waves in Nonlinear Diffusion-Convection Reaction Progress in Nonlinear Differential Equations and Their Applications Mathematics Differential equations, partial Genetics / Mathematics Physiology / Mathematics Partial Differential Equations Genetics and Population Dynamics Physiological, Cellular and Medical Topics Mathematik Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Wanderwelle (DE-588)4189075-9 gnd Konvektions-Diffusionsgleichung (DE-588)4479539-7 gnd |
| subject_GND | (DE-588)4229541-5 (DE-588)4323967-5 (DE-588)4189075-9 (DE-588)4479539-7 |
| title | Travelling Waves in Nonlinear Diffusion-Convection Reaction |
| title_auth | Travelling Waves in Nonlinear Diffusion-Convection Reaction |
| title_exact_search | Travelling Waves in Nonlinear Diffusion-Convection Reaction |
| title_full | Travelling Waves in Nonlinear Diffusion-Convection Reaction edited by Brian H. Gilding, Robert Kersner |
| title_fullStr | Travelling Waves in Nonlinear Diffusion-Convection Reaction edited by Brian H. Gilding, Robert Kersner |
| title_full_unstemmed | Travelling Waves in Nonlinear Diffusion-Convection Reaction edited by Brian H. Gilding, Robert Kersner |
| title_short | Travelling Waves in Nonlinear Diffusion-Convection Reaction |
| title_sort | travelling waves in nonlinear diffusion convection reaction |
| topic | Mathematics Differential equations, partial Genetics / Mathematics Physiology / Mathematics Partial Differential Equations Genetics and Population Dynamics Physiological, Cellular and Medical Topics Mathematik Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Wanderwelle (DE-588)4189075-9 gnd Konvektions-Diffusionsgleichung (DE-588)4479539-7 gnd |
| topic_facet | Mathematics Differential equations, partial Genetics / Mathematics Physiology / Mathematics Partial Differential Equations Genetics and Population Dynamics Physiological, Cellular and Medical Topics Mathematik Nichtlineares Differentialgleichungssystem Reaktions-Diffusionsgleichung Wanderwelle Konvektions-Diffusionsgleichung |
| url | https://doi.org/10.1007/978-3-0348-7964-4 |
| volume_link | (DE-604)BV036582883 |
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