Fronts in reactive convection: bounds, stability and instability

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dc.creatorConstantin, Peter
dc.creatorKiselev, Alexander
dc.creatorRyzhik, Lenya
dc.date2002-11-22
dc.date.accessioned2026-07-07T05:34:26Z
dc.date.available2026-07-07T05:34:26Z
dc.descriptionWe consider front propagation in a reactive Boussinesq system in an infinite vertical strip. We establish nonlinear stability of planar fronts for narrow domains when the Rayleigh number is not too large. Planar fronts are shown to be linearly unstable with respect to long wavelength perturbations if the Rayleigh number is sufficiently large. We also prove uniform bounds on the bulk burning rate and the Nusselt number in the KPP reaction case.
dc.identifierhttps://arxiv.org/abs/nlin/0211042
dc.identifierhttp://arxiv.org/abs/nlin/0211042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80366
dc.subjectChaotic Dynamics
dc.titleFronts in reactive convection: bounds, stability and instability
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