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Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation |
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| Authors: | Claude-Michel BRAUNER Lina HU Luca LORENZI |
| Affiliation: | 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, China; Institut de Mathématiques de Bordeaux, Université de Bordeaux, 33405 Talence cedex, France 2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian,China 3. Dipartimento di Matematica e Informatica, Università degli Studi di Parma, Parco Area delle Scienze 53/A, 43124 Parma, Italy |
| 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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