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Critical initial conditions for spatially-distributed thermal explosions

Published online by Cambridge University Press:  17 February 2009

A. A. Lacey  and
G. C. Wake
A. A. Lacey
Affiliation:
Mathematics Department, Heriot-Watt University, Edinburgh EH 14 4AS, Scotland.
G. C. Wake
Affiliation:
Department of Mathematics, Massey University, Palmerston, North, New Zealand.
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Abstract

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The problem of finding critical initial data which separate conditions leading to blow-up from those which give solutions tending to the (stable) minimal solution is considered. New criteria for blow-up and global existence are found; these are equivalent to obtaining upper and lower bounds respectively for the set of critical initial data.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 3 , January 1992 , pp. 350 - 362
Copyright
Copyright © Australian Mathematical Society 1992

References

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