The development of travelling waves in a simple isothermal chemical system - I. Quadratic autocatalysis with linear decay

DOI10.1098/rspa.1989.0075zbMath0682.92024OpenAlexW2102907813MaRDI QIDQ4732350

David John Needham, Stephen K. Scott, John H. Merkin

Publication date: 1989

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1989.0075

zbMATH Keywords

travelling wave linear decay quadratic autocatalysis travelling reaction-diffusion waves branching reaction unit waves

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Asymptotic expansions of solutions to PDEs (35C20) Chemical kinetics in thermodynamics and heat transfer (80A30) Chemistry (92Exx)

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On the existence and uniqueness of solutions to a singular nonlinear boundary value problem arising in isothermal autocatalytic chemical kinetics ⋮ Positive symplectic integrators for predator-prey dynamics ⋮ Stationary patterns in a two-cell coupled isothermal chemical system with arbitrary powers of autocatalysis ⋮ The evolution of traveling waves in a simple isothermal chemical system modeling quadratic autocatalysis with strong decay ⋮ AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES ⋮ An integral for a reaction-diffusion system ⋮ A note on the global asymptotic stability of the unreacting state in a simple model for quadratic autocatalysis with linear decay ⋮ Travelling waves in autocatalytic chemical systems with decay: bounds on existence ⋮ Second-order, \(L_ 0\)-stable methods for the heat equation with time-dependent boundary conditions ⋮ On the global existence of solutions to a singular semilinear parabolic equation arising from the study of autocatalytic chemical kinetics ⋮ Reaction-diffusion waves in an isothermal chemical system with general orders of autocatalysis and spatial dimension ⋮ Stability of traveling waves for autocatalytic reaction systems with strong decay ⋮ Pattern formation in a simple chemical system with general orders of autocatalysis and decay. I: Stability analysis

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