Geodesic
Self-propagating High Temperature Synthesis (SHS) in the High Activation Energy Regime
Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 1 
G. S. Weiss. Self-propagating High Temperature Synthesis (SHS) in the
High Activation Energy Regime. Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2007_76_1_a9/
@article{AMUC_2007_76_1_a9,
     author = {G. S. Weiss},
     title = {Self-propagating {High} {Temperature} {Synthesis} {(SHS)} in {the
High} {Activation} {Energy} {Regime}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2007},
     volume = {76},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2007_76_1_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

We derive the precise limit of SHS in the high activation energy scaling suggested by B. J. Matkowsky and G. I. Sivashinsky in 1978 and by A. Bayliss, B. J. Matkowsky and 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 suggests a strikingly simple explanation for the numerically observed pulsating waves.