A singularly perturbed reaction-diffusion problem with inhomogeneous environment. (Q1428510)
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scientific article; zbMATH DE number 2062776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A singularly perturbed reaction-diffusion problem with inhomogeneous environment. |
scientific article; zbMATH DE number 2062776 |
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A singularly perturbed reaction-diffusion problem with inhomogeneous environment. (English)
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29 March 2004
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The author studies a reaction-diffusion problem with inhomogeneous forcing term and a small diffusion coefficient, in both one- and two-dimensional space domains. Using an asymptotic expansion method, he constructs an approximate interfacial solution describing the formation of interfaces between the steady states and how these interfaces move. Numerical solutions that agree with the asymptotic results are also obtained.
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one- and two-dimensional space domains
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approximate interfacial solution
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0.92302847
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0.9158535
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0.9156319
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