Self-propagating High temperature Synthesis (SHS) in the high activation energy regime

Details Self-propagating High temperature Synthesis (SHS) in the high activation energy regime Self-propagating High temperature Synthesis (SHS) in the high activation energy regime

2006-01-11

arxiv.org/abs/math/0601239v1

Mathematics

Analysis of PDEs

Scientific paper

We derive the precise limit of SHS in the high activation energy scaling suggested by B.J. Matkowksy-G.I. Sivashinsky in 1978 and by A. Bayliss-B.J. Matkowksy-A.P. Aldushin in 2002. In the time-increasing case the limit turns out to be the Stefan problem for supercooled water with spatially inhomogeneous coefficients. Although the present paper leaves open mathematical questions concerning the convergence, our precise form of the limit problem suggest a strikingly simple explanation for the numerically observed pulsating waves.

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