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Travelling Waves in Nonlinear Diffusion-Convection Reaction by Brian H. Gilding

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Published by Birkhäuser Basel, Imprint: Birkhäuser in Basel .
Written in English

Subjects:

  • Mathematics,
  • Genetics,
  • Physiology,
  • Partial Differential equations

Book details:

About the Edition

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.

Edition Notes

Statementedited by Brian H. Gilding, Robert Kersner
SeriesProgress in Nonlinear Differential Equations and Their Applications -- 60, Progress in nonlinear differential equations and their applications -- 60.
ContributionsKersner, Robert
Classifications
LC ClassificationsQA370-380
The Physical Object
Format[electronic resource] /
Pagination1 online resource (ix, 208 p.)
Number of Pages208
ID Numbers
Open LibraryOL27092800M
ISBN 103034896387, 3034879644
ISBN 109783034896382, 9783034879644
OCLC/WorldCa851793918

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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. Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications) th Edition by Brian H. Gilding (Author) › Visit Amazon's Brian H. Gilding Page. Find all the books, read about the author, and more. Cited by: Travelling Waves in Nonlinear Diffusion-Convection Reaction - Ebook written by Brian H. Gilding, Robert Kersner. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Travelling Waves in Nonlinear Diffusion-Convection Reaction. Brian had just completed some work on this topic for nonlinear diffusion-convection, while Robert had earlier done the same for nonlinear diffusion-absorption. Travelling Waves in Nonlinear Diffusion-Convection Reaction Travelling Waves in Nonlinear Diffusion-Convection Reaction Brian H Gilding, Robert Kersner No preview available -

"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."--Jacket. Travelling Waves in Nonlinear Diffusion-Convection Reaction Brian H. Gilding, Robert Kersner (auth.), Brian H. Gilding, Robert Kersner (eds.). The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes. Whether or not a nonlinear second-order scalar reaction-convection-diffusion equation admits a travelling-wave solution can be determined by the study of a singular nonlinear integral equation. The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes. Whether or not a nonlinear second-order.

Travelling Waves in Nonlinear Diffusion-Convection-Reaction Processes by Róbert Kersner Special solutions play an important role in the study of nonlinear partial differential equations (PDE's) arising in mathematical biology. Travelling Waves in Nonlinear Diffusion-Convection Reaction. Wavefronts for convection-diffusion. In: Gilding B.H., Kersner R. (eds) Travelling Waves in Nonlinear Diffusion-Convection Reaction. Progress in Nonlinear Differential Equations and Their Applications, vol eBook Packages Springer Book Archive; Buy this book on publisher's.   T. Harko, M.K. MakExact travelling wave solutions of non-linear reaction-convection-diffusion equations–an Abel equation based approach J Math Phys, 56 . Nonlinear Reaction-Diffusion-Convection Equations Lie and Conditional Symmetry, Exact Solutions and Their Applications Waves in Nonlinear Pre-Stressed Materials Gaseous Ion Mobility, Diffusion, and Reaction.