Geodesic
On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 907-922 
V. F. Butuzov; N. T. Levashova. On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 907-922. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a4/
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     title = {On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A system of two singularly perturbed reaction-diffusion-transfer equations is considered in the case of slow diffusion and fast reactions. By the boundary layer function method, the asymptotics of the solution is constructed with the help of a smoothing procedure. The estimate of the remainder terms of the asymptotics is obtained by using barrier functions.

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[2] Butuzov V. F., Esimova S. T., Zhurnal vychisl. matem. i matem. fiz., 34:10 (1994), 1380–1400 | MR | Zbl

[3] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vysshaya shkola, M., 1990 | MR