J Austral Math Soc Ser B 33 pp350--362, 1992.

Critical initial conditions for spatially-distributed thermal explosions

A. A. Lacey and G. C. Wake

Abstract

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.

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Authors

A. A. Lacey

Mathematics Department, Heriot-Watt University, Edinburgh EH14 4AS, Scotland.

G. C. Wake

Department of Mathematics, Massey University, Palmerston, North, New Zealand.