Asymptotic behaviour of some reaction-diffusion systems modelling complex combustion on bounded domains

DOI10.1017/S0308210500029796zbMath0806.35073OpenAlexW2313352329MaRDI QIDQ4296657

Joel D. Avrin

Publication date: 13 February 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500029796

zbMATH Keywords

multiple-step combustion processes

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Combustion (80A25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (1)

Incompressible reacting flows

Cites Work

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• Qualitative theory for a model of laminar flames with arbitrary nonnegative initial data
• Geometric theory of semilinear parabolic equations
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• Stability of Planar Wave Solutions to a Combustion Model
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
• The Equations of One-Dimensional Unsteady Flame Propagation: Existence and Uniqueness
• Qualitative Theory of the Cauchy Problem for a One-Step Reaction Model on Bounded Domains
• A nonlinear parabolic system in the theory of combustion
• Some problems in the theory of quasilinear equations

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