We consider a free interface problem which stems from a solid-gas model in combustion with pattern formation. We derive a third-order, fully nonlinear, self-consistent equation for the flame front. Asymptotic methods reveal that the interface approaches a solution of the Kuramoto-Sivashinsky equation. Numerical results are presented which illustrate the dynamics.
Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation / C. M., Brauner; L., Hu; Lorenzi, Luca Francesco Giuseppe. - In: CHINESE ANNALS OF MATHEMATICS SERIES B. - ISSN 0252-9599. - 34B(1):(2013), pp. 65-88. [10.1007/s11401-012-0758-4]
Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation
LORENZI, Luca Francesco Giuseppe
2013-01-01
Abstract
We consider a free interface problem which stems from a solid-gas model in combustion with pattern formation. We derive a third-order, fully nonlinear, self-consistent equation for the flame front. Asymptotic methods reveal that the interface approaches a solution of the Kuramoto-Sivashinsky equation. Numerical results are presented which illustrate the dynamics.File in questo prodotto:
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