S-shaped bifurcation curves for a combustion problem with general Arrhenius reaction-rate laws

DOI10.3934/cpaa.2014.13.2589zbMath1308.34028OpenAlexW2329369650MaRDI QIDQ479554

Yong-Cai Geng, Sumit K. Garg

Publication date: 5 December 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.2589

zbMATH Keywords

positive solutionexact multiplicityS-shaped bifurcation curvecombustion problemFrank-Kamenetskii transition valueSemenov transitional value

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Combustion (80A25) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Cites Work

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• A theorem on S-shaped bifurcation curve for a positone problem with convex-concave nonlinearity and its applications to the perturbed Gelfand problem
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Exact Multiplicity and S-Shaped Bifurcation Curve for some Semilinear Elliptic Problems from Combustion Theory
• Rigorous analysis and estimates of S–shaped bifurcation curves in a combustion problem with general Arrhenius reaction–rate laws
• On the exactness of an S-shaped bifurcation curve
• Chain-Branching Explosions in Mixing Layers
• On s-shaped bifurcation curves
• Semilinear elliptic boundary-value problems in combustion theory

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