Stationary solutions and Neumann boundary conditions in the Sivashinsky equation

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dc.creatorDenet, Bruno
dc.date2006-04-17
dc.date.accessioned2026-07-07T07:11:38Z
dc.date.available2026-07-07T07:11:38Z
dc.descriptionNew stationary solutions of the (Michelson) Sivashinsky equation of premixed flames are obtained numerically in this paper. Some of these solutions, of the bicoalescent type recently described by Guidi and Marchetti, are stable with Neumann boundary conditions. With these boundary conditions, the time evolution of the Sivashinsky equation in the presence of a moderate white noise is controlled by jumps between stationary solutions.
dc.identifierhttps://arxiv.org/abs/physics/0604120
dc.identifierhttp://arxiv.org/abs/physics/0604120
dc.identifierPhysical Review E 74 (2006) 036303
dc.identifierdoi:10.1103/PhysRevE.74.036303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111825
dc.subjectClassical Physics
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.titleStationary solutions and Neumann boundary conditions in the Sivashinsky equation
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