Critical behaviour of nonlinear elliptic boundary value problems suggested by exothermic reactions

DOI10.1017/S0308210500014463zbMath0609.35073MaRDI QIDQ3749474

Henning Wiebers

Publication date: 1986

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

zbMATH Keywords

critical behaviourcombustion theorytemperature equationsexothermic reactionsBiot's constantquantitative connectionSemionov approximation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Combustion (80A25)

Related Items

Bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws ⋮ Relaxation oscillations in combustion models of thermal self-ignition ⋮ Equations of gas combustion: \(S\)-shaped bifurcation and mushrooms ⋮ Bifurcation from infinity for asymptotically linear elliptic eigenvalue problems.

Cites Work

• Unnamed Item
• S-shaped bifurcation curves of nonlinear elliptic boundary value problems
• Multiple positive fixed points of asymptotically linear maps
• Non-simple Turning Points and Cusps
• S-shaped bifurcation curves
• On the Multiplicity of Solutions Of a Differential Equation Arising in Chemical Reactor Theory
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Solutions of a Differential Equation Arising in Chemical Reactor Processes