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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 80A25, 35B27, 35K57

Retrieve articles in all journals with MSC: 80A25, 35B27, 35K57


Additional Information

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


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website