Reactive-Diffusive System with Arrhenius Kinetics: Dynamics of Ignition

DOI10.1137/0139004zbMath0489.76098OpenAlexW2054405175MaRDI QIDQ3951829

A. K. Kapila

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1137/0139004

zbMATH Keywords

slab geometryLewis numberArrhenius kineticsreaction- diffusion equationsboundary conditions for temperature and concentrationburning of reactive solidcatalyst pelletexplosion stageinduction stagepropagation stagereduced to scalar equationrelaxation stagetransition stage

Mathematics Subject Classification ID

Combustion (80A25) Chemically reacting flows (80A32) Chemical kinetics in thermodynamics and heat transfer (80A30) Diffusion and convection (76R99)

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The contribution of asymptotics to combustion ⋮ A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations ⋮ Blow-up in semilinear parabolic equations with weak diffusion ⋮ B-Methods for the Numerical Solution of Evolution Problems with Blow-Up Solutions Part I: Variation of the Constant ⋮ Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9 ⋮ The form of blow-up for nonlinear parabolic equations ⋮ Modulation theory for the flat blow-up solutions of nonlinear heat equation ⋮ B-methods for the numerical solution of evolution problems with blow-up solutions. II: Splitting methods ⋮ Existence for the modified Kassoy problem ⋮ On the numerical computation of blowing-up solutions for semilinear parabolic equations ⋮ Certain Aspects of Problems with Non Homogeneous Reactions ⋮ An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations ⋮ A description of self-similar blow-up for dimensions n\(\geq 3\)

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