Stationary solutions and Neumann boundary conditions in the Sivashinsky equation.
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.
Denet
Bruno
B
IRPHE, 49 Rue Joliot Curie, Boîte Postale 146, Technopole de Chateau Gombert, 13384 Marseille Cedex 13, France. bruno.denet@irphe.univ-mrs.fr