A variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory | Zendy

Shao Yuan Huang | Zendy; Shin–Hwa Wang | Zendy

Open Access

A variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory

Author(s) -

Shao Yuan Huang,

Shin–Hwa Wang

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.94

Subject(s) - mathematics , bifurcation , property (philosophy) , bifurcation theory , mathematical analysis , pure mathematics , nonlinear system , physics , philosophy , epistemology , quantum mechanics

We study a variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory { u′′(x) + λ exp ( au a+u ) = 0, −1 < x < 1, u(−1) = u(1) = 0, where λ > 0 is the Frank–Kamenetskii parameter or ignition parameter, a > 0 is the activation energy parameter, and u is the dimensionless temperature.

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