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

Chinese Annals of Mathematics, Series B Aims and scope Submit manuscript

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.

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Correspondence to Claude-Michel Brauner or Lina Hu.

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In honor of the scientific heritage of Jacques-Louis Lions

Project supported by a grant from the Fujian Administration of Foreign Expert Affairs, China (No. SZ2011008).

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Brauner, CM., Hu, L. & Lorenzi, L. Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation. Chin. Ann. Math. Ser. B 34, 65–88 (2013). https://doi.org/10.1007/s11401-012-0758-4

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  • DOI: https://doi.org/10.1007/s11401-012-0758-4

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