Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem

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dc.creatorEckmann, Jean-Pierre
dc.creatorSchneider, Guido
dc.date2000-04-17
dc.date.accessioned2026-07-07T05:32:47Z
dc.date.available2026-07-07T05:32:47Z
dc.descriptionWe consider the Taylor-Couette problem in an infinitely extended cylindrical domain. There exist modulated front solutions which describe the spreading of the stable Taylor vortices into the region of the unstable Couette flow. These transient solutions have the form of a front-like envelope advancing in the laboratory frame and leaving behind the stationary, spatially periodic Taylor vortices. We prove the nonlinear stability of these solutions with respect to small spatially localized perturbations.
dc.description10 pages, review article
dc.identifierhttps://arxiv.org/abs/nlin/0004027
dc.identifierhttp://arxiv.org/abs/nlin/0004027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79783
dc.subjectPattern Formation and Solitons
dc.titleNonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem
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