Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Propagation of a combustion front in a striated solid medium: a homogenization analysis

Authors: C.-M. Brauner, P. C. Fife, G. Namah and C. Schmidt-Lainé
Journal: Quart. Appl. Math. 51 (1993), 467-493
MSC: Primary 80A25; Secondary 35B27, 35K57
DOI: https://doi.org/10.1090/qam/1233525
MathSciNet review: MR1233525
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Abstract: A model problem for the propagation of a combustion front through a periodically inhomogeneous medium is posed. The existence of a steady state solution is proved, in which the front's velocity is periodic in time. Computer simulations are carried out. Finally, through rigorous homogenization techniques, it is shown that when the wavelength of the inhomogeneity is small, the solution may be approximated by a travelling wave solution of the corresponding problem for a medium with certain constant properties.

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DOI: https://doi.org/10.1090/qam/1233525
Article copyright: © Copyright 1993 American Mathematical Society

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