Stability and bifurcation of equilibrium solutions of reaction-diffusion equations on an infinite space interval

DOI10.1016/0022-0396(84)90141-4zbMath0556.35007OpenAlexW2017367004MaRDI QIDQ761626

Steven D. Taliaferro

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90141-4

zbMATH Keywords

stabilitybifurcationreaction-diffusion equationsequilibrium solutionsinfinite space interval

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Nonlinear differential equations in abstract spaces (34G20) Diffusion processes (60J60) Bifurcations in context of PDEs (35B32)

Cites Work

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• Bifurcation at multiple eigenvalues and stability of bifurcating solutions
• Stability of stationary solutions of the system of equations of the combustion theory
• On the near-ignition stability of diffusion flames
• On the local structure of the zero-set of a Banach space valued mapping
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Theory of Laminar Flames

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