Math @ Duke

Publications [#244086] of Michael C. Reed
Papers Published
 Laurent, T; Rider, B; Reed, M, Parabolic behavior of a hyperbolic delay equation,
Siam Journal on Mathematical Analysis, vol. 38 no. 1
(2006),
pp. 115, ISSN 00361410 [doi]
(last updated on 2018/10/22)
Abstract: It is shown that the fundamental solution of a hyperbolic partial differential equation with time delay has a natural probabilistic structure, i.e., is approximately Gaussian, as t → ∞. The proof uses ideas from the DeMoivre proof of the central limit theorem. It follows that solutions of the hyperbolic equation look approximately like solutions of a diffusion equation with constant convection as t → ∞. © 2006 Society for Industrial and Applied Mathematics.


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