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

Autor: Shao-Yuan Huang, Shin-Hwa Wang
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 94, Pp 1-21 (2016)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.94
Popis: We study a variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory \begin{equation*} \begin{cases} u^{\prime \prime }(x)+\lambda \exp \left( \frac{au}{a+u}\right) =0, & -10$ is the Frank–Kamenetskii parameter or ignition parameter, $a>0$ is the activation energy parameter, and $u$ is the dimensionless temperature.
Databáze: Directory of Open Access Journals