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| Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation |
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Citation： |
Claude-Michel BRAUNER,Lina HU,Luca LORENZI.Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation[J].Chinese Annals of Mathematics B,2013,34(1):65~88 |
| Page view： 2506
Net amount： 1830 |
Authors： |
Claude-Michel BRAUNER; Lina HU; Luca LORENZI; |
Foundation： |
Fujian Administration of Foreign Expert Affairs, China (No. SZ2011008). |
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| 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 |
Classification： |
35B40, 35R35, 35B35, 35K55, 80A25 |
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