Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 9, pp. 1427-1447
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V. F. Butuzov; N. T. Levashova; A. A. Mel'nikova. A steplike contrast structure in a singularly perturbed system of elliptic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 9, pp. 1427-1447. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_9_a1/
@article{ZVMMF_2013_53_9_a1,
author = {V. F. Butuzov and N. T. Levashova and A. A. Mel'nikova},
title = {A steplike contrast structure in a singularly perturbed system of elliptic equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1427--1447},
year = {2013},
volume = {53},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_9_a1/}
}
TY - JOUR
AU - V. F. Butuzov
AU - N. T. Levashova
AU - A. A. Mel'nikova
TI - A steplike contrast structure in a singularly perturbed system of elliptic equations
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2013
SP - 1427
EP - 1447
VL - 53
IS - 9
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_9_a1/
LA - ru
ID - ZVMMF_2013_53_9_a1
ER -
%0 Journal Article
%A V. F. Butuzov
%A N. T. Levashova
%A A. A. Mel'nikova
%T A steplike contrast structure in a singularly perturbed system of elliptic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 1427-1447
%V 53
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_9_a1/
%G ru
%F ZVMMF_2013_53_9_a1
A singularly perturbed boundary value problem for a system of elliptic equations in a two-dimensional region is considered. The asymptotics and existence of a solution with an internal transition layer are studied. The asymptotics is justified by the method of differential inequalities.
[1] Butuzov V. F., Levashova N. T., Melnikova A. A., “Kontrastnaya struktura tipa stupenki v singulyarno vozmuschennoi sisteme uravnenii s razlichnymi stepenyami malogo parametra”, Zh. vychisl. matem. i matem. fiz., 52:11 (2012), 1–21
[2] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vyssh. shkola, M., 1990 | MR
[3] Vasileva A. B., Plotnikov A. A., Asimptoticheskaya teoriya singulyarno vozmuschennykh zadach, Fiz. fak-t MGU, M., 2008
[4] Butuzov V. F., “Kontrastnye struktury tipa vspleska v parabolicheskoi sisteme dvukh singulyarno vozmuschennykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 37:4 (1997), 415–428 | MR | Zbl
