Crossref Citations
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Luo, Weiwei
and
Litchford, Ron
2009.
On Critical Conditions for Thermal Ignition.
Published online by Cambridge University Press: 17 February 2009
Steady state solutions for spontaneous thermal ignition in a unit sphere are considered. The multiplicity of unstable, intermediate, steady state, temperature profiles is calculated and shown for selected parameter values. The crossing of the temperature profiles corresponding to the unstable, intermediate, steady states is exhibited in a particular case and is proven in general using elementary ideas from analysis. Estimates of the location of crossing points are given.