Math @ Duke

Publications [#244041] of Michael C. Reed
Papers Published
 Reed, MC; Venakides, S; Blum, JJ, Approximate traveling waves in linear reactionhyperbolic equations,
SIAM Journal on Applied Mathematics, vol. 50 no. 1
(1990),
pp. 167180
(last updated on 2018/10/23)
Abstract: Linear reactionhyperbolic equations of a general type arising in certain physiological problems do not have traveling wave solutions, but numerical computations have shown that they possess approximate traveling waves. Using singular perturbation theory, it is shown that as the rates of the chemical reactions approach ∞, solutions approach traveling waves. The speed of the limiting wave and the first term in the asymptotic expansion are computed in terms of the underlying chemical mechanisms.


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