Geodesic
Asymptotics of the Solution of Bisingular Problem for a System of Linear Parabolic Equations.~I
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 5-17.

Voir la notice de l'article provenant de la source Math-Net.Ru

Given a bisingular parabolic problem for a system of linear parabolic equations, we construct an asymptotics for the solution of any order with respect to a small parameter, without using the joining procedure for asymptotic expansions.
Mots-clés : singular perturbations
Keywords: bisingular problems, asymptotic expansions. 
@article{MAIS_2013_20_1_a0,
     author = {M. V. Butuzova},
     title = {Asymptotics of the {Solution} of {Bisingular} {Problem} for a {System} of {Linear} {Parabolic} {Equations.~I}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {5--17},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a0/}
}
TY  - JOUR
AU  - M. V. Butuzova
TI  - Asymptotics of the Solution of Bisingular Problem for a System of Linear Parabolic Equations.~I
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2013
SP  - 5
EP  - 17
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a0/
LA  - ru
ID  - MAIS_2013_20_1_a0
ER  - 
%0 Journal Article
%A M. V. Butuzova
%T Asymptotics of the Solution of Bisingular Problem for a System of Linear Parabolic Equations.~I
%J Modelirovanie i analiz informacionnyh sistem
%D 2013
%P 5-17
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a0/
%G ru
%F MAIS_2013_20_1_a0
M. V. Butuzova. Asymptotics of the Solution of Bisingular Problem for a System of Linear Parabolic Equations.~I. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 5-17. http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a0/

[1] M. V. Butuzova, “Construction of the asymptotics of the solution of a singularly perturbed parabolic problem with nonsmooth boundary functions”, Computational Mathematics and Mathematical Physics, 40:8 (2000), 1129–1144 | MR | Zbl

[2] A. M. Ilin, Matching of Asymptotic Expansions of Solutions of Boundary Value Problems, Translations of Mathematical Monographs, 102, American Mathematical Society, 1992 | MR | MR

[3] V. F. Butuzov, A. V. Nesterov, “On the asymptotic behaviour of the solution of a parabolic equation with small parameters in the highest derivatives”, USSR Computational Mathematics and Mathematical Physics, 22:4 (1982), 100–105 | DOI | MR | Zbl | Zbl

[4] O. N. Bulychëva, V. G. Sushko, “Construction of the approximative solution for a singularly perturbed parabolic problem with nonsmooth degeneration”, Fundam.Prikl. Mat., 1:4 (1995), 881–905 | MR | Zbl