Geodesic
Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
Sbornik. Mathematics, Tome 200 (2009) no. 3, pp. 357-383

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

We consider homogenization problems in a singularly perturbed three-dimensional domain of multi-level-junction type which consists of the junction body and a large number of alternating thin curvilinear cylinders that belong to two classes. Under the assumption that one class consists of cylinders of finite height, and the second class of cylinders of infinitesimal height, and that different inhomogeneous boundary conditions of the third kind with perturbed coefficients are given on the boundaries of the thin curvilinear cylinders, we prove the homogenization theorems and the convergence of the energy integrals. Bibliography: 42 titles.
Keywords: homogenization, thick junctions, asymptotics. 
@article{SM_2009_200_3_a3,
     author = {T. A. Mel'nik and G. A. Chechkin},
     title = {Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions},
     journal = {Sbornik. Mathematics},
     pages = {357--383},
     publisher = {mathdoc},
     volume = {200},
     number = {3},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_3_a3/}
}
TY  - JOUR
AU  - T. A. Mel'nik
AU  - G. A. Chechkin
TI  - Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
JO  - Sbornik. Mathematics
PY  - 2009
SP  - 357
EP  - 383
VL  - 200
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2009_200_3_a3/
LA  - en
ID  - SM_2009_200_3_a3
ER  - 
%0 Journal Article
%A T. A. Mel'nik
%A G. A. Chechkin
%T Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
%J Sbornik. Mathematics
%D 2009
%P 357-383
%V 200
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2009_200_3_a3/
%G en
%F SM_2009_200_3_a3
T. A. Mel'nik; G. A. Chechkin. Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions. Sbornik. Mathematics, Tome 200 (2009) no. 3, pp. 357-383. http://geodesic.mathdoc.fr/item/SM_2009_200_3_a3/