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



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.


Asymptotics Free interface Kuramoto-Sivashinsky equation Pseudo-differential operator Spectral method 

Mathematics Subject Classification

35B40 35R35 35B35 35K55 80A25 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.School of Mathematical SciencesXiamen UniversityXiamenChina
  2. 2.Institut de Mathématiques de BordeauxUniversité de BordeauxTalence cedexFrance
  3. 3.Dipartimento di Matematica e InformaticaUniversità degli Studi di ParmaParmaItaly

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