Geodesic
Solution of boundary value problems in cylinders separated by a three-layer film into two semicylinders
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 7, pp. 1261-1266

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

Boundary value problems are considered for the class of equations $\partial_x^2u+L[u]=0$ in cylinders $D=(x\in R,\,y\in Q\subseteq R^m)$ with an infinitely thin film at $x=0$ consisting of three sublayers with alternating high and low permeability ($L$-linear differential operator with respect to $y_i$). The solutions of the problems are expressed in terms of those of the corresponding classical boundary value problems in homogeneous cylinders $D$ with no film. The resulting formulas have the form of simple quadrature rules, which are amenable to numerical computations. 
@article{ZVMMF_2012_52_7_a7,
     author = {N. V. Nutchina-Pestryakova and S. E. Kholodovskii},
     title = {Solution of boundary value problems in cylinders separated by a three-layer film into two semicylinders},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1261--1266},
     publisher = {mathdoc},
     volume = {52},
     number = {7},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_7_a7/}
}
TY  - JOUR
AU  - N. V. Nutchina-Pestryakova
AU  - S. E. Kholodovskii
TI  - Solution of boundary value problems in cylinders separated by a three-layer film into two semicylinders
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2012
SP  - 1261
EP  - 1266
VL  - 52
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_7_a7/
LA  - ru
ID  - ZVMMF_2012_52_7_a7
ER  - 
%0 Journal Article
%A N. V. Nutchina-Pestryakova
%A S. E. Kholodovskii
%T Solution of boundary value problems in cylinders separated by a three-layer film into two semicylinders
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2012
%P 1261-1266
%V 52
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_7_a7/
%G ru
%F ZVMMF_2012_52_7_a7
N. V. Nutchina-Pestryakova; S. E. Kholodovskii. Solution of boundary value problems in cylinders separated by a three-layer film into two semicylinders. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 7, pp. 1261-1266. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_7_a7/