On a Stefan-type model arising in ecology
| Autor: | Bert Peletier, Arnold Berezovsky, Robert Kersner |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Point source
Reaction–diffusion Applied Mathematics Mathematical analysis Front (oceanography) Mathematics::Analysis of PDEs Stefan problem Domain (mathematical analysis) Free boundary Bounded function Emden–Fowler equation Uniqueness Boundary value problem Diffusion (business) Stationary state Mathematics |
| Zdroj: | Applied Mathematics Letters. (8):699-705 |
| ISSN: | 0893-9659 |
| DOI: | 10.1016/j.aml.2003.02.014 |
| Popis: | We discuss the dispersal of a chemical, emitted from a point source, into a reacting medium. The diffusion and reaction are such that a front emerges, so that at all times the chemical remains confined to a bounded domain around the source. We focus on the final stationary state which is a non-standard Stefan-type boundary value problem for an Emden–Fowler equation. We prove its existence and uniqueness and obtain, analytically as well as numerically, bounds for the location of the front and for the concentration profile. |
| Databáze: | OpenAIRE |
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