Traveling waves in a one-dimensional random medium

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dc.creatorNolen, James
dc.creatorRyzhik, Lenya
dc.date2007-10-09
dc.date.accessioned2026-07-07T08:35:08Z
dc.date.available2026-07-07T08:35:08Z
dc.descriptionWe consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deterministic rate in the long time limit. We also establish existence of generalized random traveling waves and of transition fronts in general heterogeneous media.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0710.1858
dc.identifierhttp://arxiv.org/abs/0710.1858
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139661
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.titleTraveling waves in a one-dimensional random medium
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