Stationary solutions and Neumann boundary conditions in the Sivashinsky equation

Details Stationary solutions and Neumann boundary conditions in the Sivashinsky equation Stationary solutions and Neumann boundary conditions in the Sivashinsky equation

2006-04-17

arxiv.org/abs/physics/0604120v1

Physical Review E 74 (2006) 036303

Physics

Classical Physics

Scientific paper

10.1103/PhysRevE.74.036303

New 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.

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