Sivashinsky equation in a rectangular domain

Details Sivashinsky equation in a rectangular domain Sivashinsky equation in a rectangular domain

2007-02-13

arxiv.org/abs/physics/0702099v2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 046310

Physics

Classical Physics

Scientific paper

10.1103/PhysRevE.75.046310

The (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.

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