Publications [#244086] of Michael C. Reed

Papers Published

1. Laurent, T; Rider, B; Reed, M, Parabolic behavior of a hyperbolic delay equation, SIAM Journal on Mathematical Analysis, vol. 38 no. 1 (March, 2006), pp. 1-15, ISSN 0036-1410
   (last updated on 2024/04/24)

   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.