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

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dc.creatorMonneau, Regis
dc.creatorWeiss, G. S.
dc.date2006-01-11
dc.date.accessioned2026-07-07T06:58:46Z
dc.date.available2026-07-07T06:58:46Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0601239
dc.identifierhttp://arxiv.org/abs/math/0601239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107489
dc.subjectAnalysis of PDEs
dc.subject80A25; 80A22; 35K55; 35R35
dc.titleSelf-propagating High temperature Synthesis (SHS) in the high activation energy regime
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