Calculation of critical branching points in two-parameter bifurcation problems

DOI10.1016/0021-9991(83)90047-5zbMath0512.65066OpenAlexW1977638079MaRDI QIDQ1050097

Brian Eaton, Karl Gustafson

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90047-5

zbMATH Keywords

nonlinear eigenvalue problemsthermal ignitioncritical branching pointexact criticality schememodels in explosion theorytwo-parameter bifurcation problems

Mathematics Subject Classification ID

Combustion (80A25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (3)

Counting the number of solutions in combustion and reactive flow problems ⋮ Finding singular points of two-point boundary value problems ⋮ On a quasilinear elliptic boundary value problem of nonlocal type with an application in combustion theory

Cites Work

• Unnamed Item
• Direct evaluation of branching points for equations arising in the theory of explosions of solid explosives
• Influence of aerodynamics on the critical parameters of thermal ignition

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