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## Publications [#9523] of Thomas P. Witelski

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Papers Accepted

1. Thomas P. Witelski, K. Ono, T. J. Kaper, Analysis of the critical wave speeds of scalar reaction-diffusion equations, Applied Math Letters, [Boston University Center for BioDynamics Technical Report No. 5, (1998)] , accepted 2000 [ps]
(last updated on 2000/01/24)

Abstract:
We study the set of traveling waves in a class of reaction-diffusion equations for the family of potentials $f_m(U)=2U^m(1-U)$. We use perturbation methods and matched asymptotics to derive expansions for the critical wave speed that separates algebraic and exponential traveling wave front solutions for $m\to 2$ and $m\to\infty$. Also, an integral formulation of the problem shows that nonuniform convergence of the generalized equal area rule occurs at the critical wave speed.

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