Math @ Duke

Publications [#287353] of James H. Nolen
Papers Published
 Nolen, J, A central limit theorem for pulled fronts in a random medium,
Networks and Heterogeneous Media, vol. 6 no. 2
(2011),
pp. 167194, ISSN 15561801 [pdf], [doi]
(last updated on 2018/12/09)
Abstract: We consider solutions to a nonlinear reaction diffusion equation when the reaction term varies randomly with respect to the spatial coordinate. The nonlinearity is the KPP type nonlinearity. For a stationary and ergodic medium, and for certain initial condition, the solution develops a moving front that has a deterministic asymptotic speed in the large time limit. The main result of this article is a central limit theorem for the position of the front, in the supercritical regime, if the medium satisfies a mixing condition. © American Institute of Mathematical Sciences.


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