A note on the non-existence of permanent form travelling wave solutions in a class of singular reaction-diffusion problems

DOI10.1080/14689360110116498zbMath1010.34020OpenAlexW2327733018MaRDI QIDQ3148710

J. A. Leach, P. M. McCabe, David John Needham

Publication date: 15 May 2003

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360110116498

zbMATH Keywords

nonexistencetravelling wave solutionssingular reaction-diffusion problems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (4)

Products of distributions and singular travelling waves as solutions of advection-reaction equations ⋮ Travelling waves in the Fisher-KPP equation with nonlinear degenerate or singular diffusion ⋮ On two-signed solutions to a second order semi-linear parabolic partial differential equation with non-Lipschitz nonlinearity ⋮ The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data

Cites Work

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• Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations
• Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

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