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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications) - Softcover
Synopsis
Travelling waves are observed in many natural processes, ranging from the spread of diseases to the combustion of fuels. A common feature of a multitude of these phenomena is that they can be similarly described in terms of a dispersive or diffusive mechanism, an advective or convective process, some kind of reaction, sorption, source or sink mechanism, or, an intricate balance between several of these factors. This book presents an overview of the occurence of travelling waves when these underlying phenomena can be mathematically modelled by a partial differential equation. The contents provide an up-to-date review of the state of the art in this field of research, touching on many different areas of application and including a large number of new results.
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- PublisherBirkhäuser
- Publication date2012
- ISBN 10 3034896387
- ISBN 13 9783034896382
- BindingPaperback
- LanguageEnglish
- Number of pages219
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications)
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications)
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Travelling Waves in Nonlinear Diffusion-Convection Reaction
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Birkhäuser Basel, Birkhäuser Basel, 2012
ISBN 10: 3034896387
ISBN 13: 9783034896382
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph has grown out of research we started in 1987, although the foun dations 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 Univer sity 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 demonstra tions, 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 nonlin ear 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. Seller Inventory # 9783034896382
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Travelling Waves in Nonlinear Diffusion-Convection Reaction
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Springer, Basel, Birkhäuser Basel, Birkhäuser Okt 2012, 2012
ISBN 10: 3034896387
ISBN 13: 9783034896382
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph has grown out of research we started in 1987, although the foun dations 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 Univer sity 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 demonstra tions, 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 nonlin ear 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. 210 pp. Englisch. Seller Inventory # 9783034896382
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Describes a method leading to results which were otherwise unobtainable or are much sharper than those obtained previouslyProvides a reference work for applications of nonlinear diffusion, convection and reactionBrings together a large numb. Seller Inventory # 4319451
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications, 60)
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