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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Diffusion dependence of the FitzHugh-Nagumo equations


Author: Clyde Collins
Journal: Trans. Amer. Math. Soc. 280 (1983), 833-839
MSC: Primary 35K57; Secondary 35B99, 92A09
MathSciNet review: 716853
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Abstract: We investigate the behavior of the solutions of

\begin{displaymath}\begin{array}{*{20}{c}} {{u_t} = {u_{x\,x}} - \alpha \,u - v ... ...} = \eta \,{v_{x\,x}} + \sigma \,u - \gamma v,} \\ \end{array} \end{displaymath}

as $ \eta $ tends to zero from above.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0716853-8
PII: S 0002-9947(1983)0716853-8
Article copyright: © Copyright 1983 American Mathematical Society