Sivashinsky equation in a rectangular domain.

  • Bruno Denet
  • Published 2007 in
    Physical review. E, Statistical, nonlinear, and…


The (Michelson) Sivashinsky equation of premixed flames is studied in a rectangular domain in two dimensions. A huge number of two-dimensional (2D) stationary solutions are trivially obtained by the 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… (More)


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