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FLAME PROPAGATION IN ONE-DIMENSIONAL STATIONARY ERGODIC MEDIA

L. A. CAFFARELLI

Department of Mathematics, University of Texas at Austin, Texas, USA

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K.-A. LEE

Department of Mathematics, Seoul National University, Seoul, Korea

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, and

A. MELLET

Department of Mathematics, University of British Columbia, Canada

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https://doi.org/10.1142/S0218202507001863Cited by:3 (Source: Crossref)

Abstract

This paper investigates front propagation in random media for a free boundary problem arising in combustion theory. We show the existence of asymptotic traveling waves solutions with effective speed depending only on the essential infimum of the combustion rate. This result generalizes a previous result of the same authors in the periodic case.

Keywords:

AMSC: 74Q10, 35B40

References

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