Geodesic
Higher order asymptotics of solutions of problems on the contact of periodic structures
Sbornik. Mathematics, Tome 38 (1981) no. 4, pp. 465-494

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

A methodology is proposed for averaging in boundary value problems with plane bondary, and also problems on the contact of several microstructures with plane contact surface. Boundary layers are taken into account in this methodology. The author considers both direct contact of two structures and contact of two media separated by a thin inhomogeneous layer having periodic structure. Formal asymptotic solutions of some problems on the contact of two media are constructed, and estimates of how close the asymptotic solution is to the exact solution are derived. Bibliography: 34 titles. 
@article{SM_1981_38_4_a2,
     author = {G. P. Panasenko},
     title = {Higher order asymptotics of solutions of problems on the contact of periodic structures},
     journal = {Sbornik. Mathematics},
     pages = {465--494},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {1981},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_38_4_a2/}
}
TY  - JOUR
AU  - G. P. Panasenko
TI  - Higher order asymptotics of solutions of problems on the contact of periodic structures
JO  - Sbornik. Mathematics
PY  - 1981
SP  - 465
EP  - 494
VL  - 38
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1981_38_4_a2/
LA  - en
ID  - SM_1981_38_4_a2
ER  - 
%0 Journal Article
%A G. P. Panasenko
%T Higher order asymptotics of solutions of problems on the contact of periodic structures
%J Sbornik. Mathematics
%D 1981
%P 465-494
%V 38
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1981_38_4_a2/
%G en
%F SM_1981_38_4_a2
G. P. Panasenko. Higher order asymptotics of solutions of problems on the contact of periodic structures. Sbornik. Mathematics, Tome 38 (1981) no. 4, pp. 465-494. http://geodesic.mathdoc.fr/item/SM_1981_38_4_a2/