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.
Product Identifiers
Publisher
Birkhauser Verlag Ag
ISBN-13
9783764370718
eBay Product ID (ePID)
95058074
Product Key Features
Author
Brian H. Gilding, Robert Kersner
Publication Name
Travelling Waves in Nonlinear Diffusion-Convection Reaction
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2004
Type
Textbook
Number of Pages
210 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
60
Item Weight
506g
Additional Product Features
Title_Author
Brian H. Gilding, Robert Kersner
Series Title
Progress in Nonlinear Differential Equations and Their Applications
Country/Region of Manufacture
Switzerland
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