Sivashinsky equation in a rectangular domain

dc.creatorDenet, Bruno
dc.date2007-02-13
dc.date2007-05-12
dc.date.accessioned2026-07-07T08:00:50Z
dc.date.available2026-07-07T08:00:50Z
dc.descriptionThe (Michelson) Sivashinsky equation of premixed flames is studied in a rectangular domain in two dimensions. A huge number of 2D stationary solutions are trivially obtained by addition of two 1D solutions. With Neumann boundary conditions, it is shown numerically that adding two stable 1D solutions leads to a 2D stable solution. This type of solution is shown to play an important role in the dynamics of the equation with additive noise.
dc.identifierhttps://arxiv.org/abs/physics/0702099
dc.identifierhttp://arxiv.org/abs/physics/0702099
dc.identifierPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 046310
dc.identifierdoi:10.1103/PhysRevE.75.046310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128774
dc.subjectClassical Physics
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.titleSivashinsky equation in a rectangular domain
dc.typetext

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