Geodesic
Asymptotic behaviour of rapidly oscillating contrasting spatial structures
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 254-269 Cet article a éte moissonné depuis la source Math-Net.Ru

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The asymptotic behaviour of equilibria that rapidly oscillate in the spatial coordinate in a system of two nonlinear parabolic equations with a sufficiently small diffusion coefficient in one of them is investigated. The normalization method is applied to show that the local dynamics of the original system with a small parameter multiplying one of the high-order derivatives is determined by the non-local behaviour of the solutions of a family of special boundary-value problems that are independent of the small parameter. 
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S. A. Kashchenko. Asymptotic behaviour of rapidly oscillating contrasting spatial structures. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 254-269. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a7/

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