Asymptotic behaviour of rapidly oscillating contrasting spatial structures
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 254-269
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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.
@article{ZVMMF_1990_30_2_a7,
author = {S. A. Kashchenko},
title = {Asymptotic behaviour of rapidly oscillating contrasting spatial structures},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {254--269},
publisher = {mathdoc},
volume = {30},
number = {2},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a7/}
}
TY - JOUR AU - S. A. Kashchenko TI - Asymptotic behaviour of rapidly oscillating contrasting spatial structures JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 254 EP - 269 VL - 30 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a7/ LA - ru ID - ZVMMF_1990_30_2_a7 ER -
%0 Journal Article %A S. A. Kashchenko %T Asymptotic behaviour of rapidly oscillating contrasting spatial structures %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 254-269 %V 30 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a7/ %G ru %F ZVMMF_1990_30_2_a7
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/