@article{5dae8376c2db43a3ad05166b533fe786,
title = "On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere",
abstract = "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.",
author = "Weber, {R. O.} and Wake, {G. C.} and Sidhu, {H. S.} and Mercer, {G. N.} and Gray, {B. F.} and W. Derrick and E. Balakrishnan",
note = "Funding Information: ROW gratefully acknowledges the hospitality of the University of Auckland and the generosity of the Marsden fund for the initial phase of this work carried out while ROW was on sabbatical from the UNSW. WD gratefully acknowledges the hospitality and support of UQ and UNSW for work done on this topic while WD was on sabbatical from the University of Montana. The authors would also like to acknowledge the advice of John Billingham for the numerical computaion of the bifurcation diagram.",
year = "2001",
doi = "10.1017/S1446181100011433",
language = "English",
volume = "43",
pages = "77--85",
journal = "ANZIAM Journal",
issn = "1446-1811",
publisher = "Cambridge University Press",
number = "1",
}