Diffusion-driven blow-up in a reaction-diffusion model forn(ge1)th-order autocatalysis

DOI10.1088/0951-7715/13/1/304zbMATH Open1012.35045OpenAlexW2029193262MaRDI QIDQ4789789

David J. Needham, J. Olwoch

Publication date: 16 June 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/1/304

zbMATH Keywords

single-point blow-upsmall- and large-time asymptotic solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Chemical kinetics in thermodynamics and heat transfer (80A30) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

A reaction-diffusion model for autocatalytic polymerization: II. The initial value problem ⋮ The Evolution of Travelling Waves in Fractional Order Autocatalysis with Decay. II. The Initial Boundary Value Problem

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