Geodesic
Asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 3, pp. 438-444 Cet article a éte moissonné depuis la source Math-Net.Ru

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A formal asymptotic representation of the solution to an initial-boundary value problem for a singularly perturbed system of first-order partial differential equations with small nonlinearity is constructed. 
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     title = {Asymptotics of the solution to a~singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case},
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A. V. Nesterov; O. V. Shuliko. Asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 3, pp. 438-444. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_3_a6/

[1] Nesterov A. B., “O vnutrennikh perekhodnykh parabolicheskikh sloyakh”, Tr. Mezhdunar. konf. “Matem. idei P. L. Chebysheva i ikh prilozhenie k sovremennym problemam estestvoznaniya”, Tezisy dokl., IATE, Obninsk, 2002

[2] Nesterov A. B., “Ob asimptotike resheniya sistemy uravnenii diffuziya-sorbtsiya pri malykh koefitsientakh diffuzii”, Zh. vychisl. matem. i matem. fiz., 29:9 (1989), 1318–1330 | MR