The Evolution of Travelling Waves in Fractional Order Autocatalysis with Decay. II. The Initial Boundary Value Problem

DOI10.1137/S0036139998344775zbMath0956.35066MaRDI QIDQ4507257

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

Publication date: 18 October 2000

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptoticschemical kineticssingular reaction-diffusion equationisothermal chemical autocatalysis with terminationtraveling waves with semi-infinite support

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Chemical kinetics in thermodynamics and heat transfer (80A30) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (5)

Existence and multiplicity results for a class of semilinear elliptic equations ⋮ The evolution of traveling waves in a simple isothermal chemical system modeling quadratic autocatalysis with strong decay ⋮ 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 ⋮ A note on the small-time development of the solution to a coupled, nonlinear, singular reaction-diffusion system

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