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
DOI:
https://doi.org/10.1090/S1079-6762-97-00036-X
Published electronically:
November 4, 1997
MathSciNet review:
1476068
Full-text PDF Free Access
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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
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
