Math @ Duke
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Publications [#287364] of James H. Nolen
Papers Published
- Nolen, J; Ryzhik, L, Traveling waves in a one-dimensional heterogeneous medium,
Annales De L'Institut Henri Poincare (C) Non Linear Analysis, vol. 26 no. 3
(2009),
pp. 1021-1047, Elsevier BV, ISSN 0294-1449 [pdf], [doi]
(last updated on 2023/03/27)
Abstract: 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. © 2009 Elsevier Masson SAS. All rights reserved.
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