Min-Max Variational Principle and Front Speeds in Random Shear Flows

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dc.creatorNolen, James
dc.creatorXin, Jack
dc.date2005-01-25
dc.date.accessioned2026-07-07T05:16:22Z
dc.date.available2026-07-07T05:16:22Z
dc.descriptionSpeed ensemble of bistable (combustion) fronts in mean zero stationary Gaussian shear flows inside two and three dimensional channels is studied with a min-max variational principle. In the small root mean square regime of shear flows, a new class of multi-scale test functions are found to yield speed asymptotics. The quadratic speed enhancement law holds with probability arbitrarily close to one under the almost sure continuity (dimension two) and mean square Hölder regularity (dimension three) of the shear flows. Remarks are made on the conditions for the linear growth of front speed expectation in the large root mean square regime.
dc.description15 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0501445
dc.identifierhttp://arxiv.org/abs/math/0501445
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73966
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject35K57, 41A60
dc.titleMin-Max Variational Principle and Front Speeds in Random Shear Flows
dc.typetext

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