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Published November 1978 | Published
Journal Article Open

Rotating spiral wave solutions of reaction-diffusion equations

Abstract

We resolve the question of existence of regular rotating spiral waves as a consequence of only the processes of chemical reaction and molecular diffusion. We prove rigorously the existence of these waves as solutions of reaction-diffusion equations, and we exhibit them by means of numerical computations in several concrete cases. Existence is proved via the Schauder fixed point theorem applied to a class of functions with sufficient structure that, in fact, important constructive properties such as asymptotic representations and frequency of rotation are obtained.

Additional Information

© 1978 Society for Industrial and Applied Mathematics. Received by the editors January 10, 1978. This work was supported in part by the U.S. Army Research Office under Contract DAHC-04-68-0006 and in part by the National Science Foundation under Grant GP32157X2.

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