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ISSN 1079-6762

Wave propagation in a lattice KPP equation in random media


Authors: Tzong-Yow Lee and Fred Torcaso
Journal: Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 121-125
MSC (1991): Primary 60J60; Secondary 35K55
Published electronically: November 4, 1997
MathSciNet review: 1476068
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Abstract: We extend a result of Freidlin and Gartner (1979) for KPP (Kolmogorov-Petrovskii-Piskunov) wave fronts to the case $d\ge 2$ for i.i.d. (independent and identically distributed) random media. We show a wave front propagation speed is attained for the discrete-space (lattice) KPP using a large deviation approach.


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Additional Information

Tzong-Yow Lee
Affiliation: Department of Mathematics, University of Maryland, College Park, MD 20742
Email: tyl@math.umd.edu

Fred Torcaso
Affiliation: Department of Mathematics, University of Maryland, College Park, MD 20742
Email: torcaso@math.umd.edu

DOI: http://dx.doi.org/10.1090/S1079-6762-97-00036-X
PII: S 1079-6762(97)00036-X
Keywords: KPP equation, random media, large deviations
Received by editor(s): June 20, 1997
Published electronically: November 4, 1997
Additional Notes: This work was supported under NSF Grant DMS-95-04177 while the second author was research assistant at the University of Maryland.
Communicated by: Mark Freidlin
Article copyright: © Copyright 1997 American Mathematical Society