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International audienceThe authors consider a free interface problem which stems from a solid-gas model in combustion with pattern formation. A third-order, fully nonlinear, self-consistent equation for the flame front is derived. Asymptotic methods reveal that the interface approaches a solution to the Kuramoto-Sivashinsky equation. Numerical results  which illustrate the dynamics are presented

Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation