Travelling Waves in Nonlinear Diffusion-Convection Reaction: Progress in Nonlinear Differential Equations and Their Applications, cartea 60
Autor Brian H. Gilding, Robert Kersneren Limba Engleză Hardback – 23 iul 2004
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Specificații
ISBN-13: 9783764370718
ISBN-10: 3764370718
Pagini: 210
Ilustrații: IX, 210 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.49 kg
Ediția:2004
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Progress in Nonlinear Differential Equations and Their Applications
Locul publicării:Basel, Switzerland
ISBN-10: 3764370718
Pagini: 210
Ilustrații: IX, 210 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.49 kg
Ediția:2004
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Progress in Nonlinear Differential Equations and Their Applications
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
1 Introduction.- 2 General theory.- 2.1 Basic hypotheses.- 2.2 Integral equation theory.- 2.3 Proof of equivalence.- 2.4 Illustration of difficulties.- 2.5 Further properties.- 2.6 Classical results.- Bibliographical notes.- 3 Transformations.- Bibliographical notes.- 4 Travelling waves.- 4.1 Admissible wave speeds.- 4.2 Number of solutions.- Bibliographical notes.- 5 Convection-diffusion.- Bibliographical notes.- 6 Reaction-diffusion.- 6.1 Sink term.- 6.2 Source term.- 6.3 Smooth coefficients.- Bibliographical notes.- 7 Power-law equations.- Bibliographical notes.- 8 Wavefronts.- 8.1 Admissible wave speeds.- 8.2 Number of wavefronts.- 8.3 Illustrations.- 8.4 Multiple equilibria.- Bibliographical notes.- 9 Wavefronts for convection-diffusion.- Bibliographical notes.- 10 Wavefronts for reaction-diffusion.- 10.1 Fixed sign.- 10.2 One sign change.- 10.3 Smooth coefficients.- Bibliographical notes.- 11 Unbounded waves.- 12 Wavefronts and unbounded waves for power-law equations.- 12.1 Convection-diffusion.- 12.2 Reaction-diffusion with linear convection.- 12.3 Reaction-convection-diffusion.- Bibliographical notes.- 13 Explicit travelling-wave solutions.- 13.1 Power-law equations.- 13.2 Generalizations of the Fisher equation.- 13.3 Generating further explicit solutions.- Bibliographical notes.
Caracteristici
Describes a method leading to results which were otherwise unobtainable or are much sharper than those obtained previously Provides a reference work for applications of nonlinear diffusion, convection and reaction Brings together a large number of results – which have been obtained piecemeal in many different scientific disciplines – in a unifying framework