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Asymptotic Results for Injection of Reactive Solutes from a Three-Dimensional Well

✍ Scribed by C.J. van Duijn; I.A. Guerra; M.A. Peletier

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 143 KB
Volume: 260
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7457

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✦ Synopsis

In this paper we consider some asymptotic aspects related to the profile of a reactive solute, which is injected from a well (radius > 0) into a three-dimensional porous medium. We present a convergence result for ↓ 0 as well as the large time behaviour. Regarding the latter we show that the solute profile evolves in a self-similar way towards a stationary distribution and we give an estimate for the rate of the convergence. This paper extends earlier work of C. J. van Duijn and M. A. Peletier (1996, J. Reine Angew. Math. 479, 77-98), where the two-dimensional case was treated.

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