Journal
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume 26, Issue 3, Pages 1021-1047Publisher
ELSEVIER
DOI: 10.1016/j.anihpc.2009.02.003
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Funding
- NSF [DMS-0604687]
- ONR
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We consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deterministic rate in the long time limit. We also establish existence of generalized random traveling waves and of transition fronts in general heterogeneous media. (C) 2009 Elsevier Masson SAS. All rights reserved.
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