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

2012/11/04 by Claude-Michel Brauner, Brauner, Claude-Michel, Lina Hu +3
Computer Science · Earth and Planetary Sciences · Mathematics · Medicine · #35B35 #35B40 #35K55 #35R35 #80A25 #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #math.AP #msc:35B35 #msc:35B40 #msc:35K55 #msc:35R35 #msc:80A25

paper · pdf · doi:10.48550/arxiv.1211.0678

To appear on Chinese Annals of Mathematics, Series B

arxiv created 2012/11/04 · openalex publication_date 2012/11/04 · arxiv updated 2012/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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