Puri, Sanjay (1991) Singular-perturbation analysis of the Fisher equation Physical Review A, 43 (12). pp. 7031-7039. ISSN 1050-2947
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Official URL: http://pra.aps.org/abstract/PRA/v43/i12/p7031_1
Related URL: http://dx.doi.org/10.1103/PhysRevA.43.7031
Abstract
We perform a singular-perturbation analysis of the Fisher equation in arbitrary dimensions. This analysis gives us an approximate, asymptotic solution of the Fisher equation for a broad class of initial conditions. Specifically, we find that a domain growing from a seed initial condition has an asymptotic velocity of 2 in all dimensions. However, the interface of the analytic solution is excessively sharp, suggesting that the singular-perturbation approach has intrinsic limitations.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 32668 |
| Deposited On: | 17 Mar 2011 10:45 |
| Last Modified: | 17 Mar 2011 10:45 |
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