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

Abstract

The authors consider a free interface problem which stems from a gas-solid 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.

Keywords

Asymptotics / Free interface / Kuramoto-Sivashinsky equation / Pseudodifferential operator / Spectral method

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