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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.
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Contenuti
Preface.- 1. Introduction.- 2. General Theory.- 3. Transformations.- 4. Travelling Waves.- 5. Convection-diffusion.- 6. Reaction-diffusion.- 7. Power-law Equations.- 8. Wavefronts.- 9. Wavefronts for Convection-diffusion.- 10. Wavefronts for Reaction-diffusion.- 11. Unbounded Waves.- 12. Wavefronts and Unbounded Waves for Power-law Equations.- 13. Explicit Travelling Waves Solutions.- Bibliography.- Index
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications)
Da: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
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Condizione: Fine. *Price HAS BEEN REDUCED by 10% until Monday, Sept. 29 (weekend SALE item)* First edition, first printing, 217 pp., Hardcover, previous owner's small hand stamp to front free endpaper else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1322671
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications, 60)
Da: Lucky's Textbooks, Dallas, TX, U.S.A.
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Travelling Waves in Nonlinear Diffusion-Convection-Reaction
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Hardcover)
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Birkhauser Verlag AG, Basel, 2004
ISBN 10: 3764370718
ISBN 13: 9783764370718
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Hardcover. Condizione: new. Hardcover. Travelling waves are observed in many natural processes, ranging from the spread of diseases to the combustion of fuels. The book is concerned with characterizing such waves in phenomena described by a nonlinear diffusion-convection-reaction equation. The technique employed is new and can be briefly described as an integral or integrated approach to phase-plane analysis. It leads to results which were so far unobtainable, including the effects of degenerate diffusion and nonlinear convection, or are much sharper than those obtained previously. Applications are taken from the evolution of biological populations, diffusion of oxygen in tissue, heat transfer, thermal convection, combustion, flow in porous media, hydrology, soil-moisture flow, boundary layer theory, foam drainage, viscous fluid flow, turbulent fluid flow, the motion of plasma particles in a magnetic field, solar prominences, crystal growth, reaction chemistry, quenching, and other fields.In this way, the book brings together and improves a large number of results which have been obtained piecemeal in many different scientific disciplines.It provides a reference work for applications of nonlinear diffusion, convection and reaction, and gives a state-of-the-art survey of the study of the occurrence of travelling waves in such applications. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783764370718
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications, 60)
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Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications, 60)
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Travelling Waves in Nonlinear Diffusion-Convection Reaction
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Springer, Basel, Birkhäuser Basel Jul 2004, 2004
ISBN 10: 3764370718
ISBN 13: 9783764370718
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Buch. Condizione: 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. 208 pp. Deutsch. Codice articolo 9783764370718
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Travelling Waves in Nonlinear Diffusion-Convection Reaction
Print on DemandDa: moluna, Greven, Germania
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Condizione: 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. Codice articolo 5279591
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Travelling Waves in Nonlinear Diffusion-Convection Reaction
Da: Books Puddle, New York, NY, U.S.A.
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Condizione: New. pp. ix + 210 Index. Codice articolo 26354863
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Travelling Waves in Nonlinear Diffusion-Convection Reaction
Print on DemandDa: Biblios, Frankfurt am main, HESSE, Germania
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Condizione: New. PRINT ON DEMAND pp. ix + 210. Codice articolo 18354853
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