Geodesic
Homogenization of a~mixed problem for the Laplace operator with the Signorini conditions on an interior fine-grained boundary
Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 4, pp. 3-15.

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

@article{SJIM_2004_7_4_a0,
     author = {I. I. Argatov},
     title = {Homogenization of a~mixed problem for the {Laplace} operator with the {Signorini} conditions on an interior fine-grained boundary},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {3--15},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2004_7_4_a0/}
}
TY  - JOUR
AU  - I. I. Argatov
TI  - Homogenization of a~mixed problem for the Laplace operator with the Signorini conditions on an interior fine-grained boundary
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2004
SP  - 3
EP  - 15
VL  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2004_7_4_a0/
LA  - ru
ID  - SJIM_2004_7_4_a0
ER  - 
%0 Journal Article
%A I. I. Argatov
%T Homogenization of a~mixed problem for the Laplace operator with the Signorini conditions on an interior fine-grained boundary
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2004
%P 3-15
%V 7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2004_7_4_a0/
%G ru
%F SJIM_2004_7_4_a0
I. I. Argatov. Homogenization of a~mixed problem for the Laplace operator with the Signorini conditions on an interior fine-grained boundary. Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 4, pp. 3-15. http://geodesic.mathdoc.fr/item/SJIM_2004_7_4_a0/

[1] Dyuvo G., Lions Zh.-L., Neravenstva v mekhanike i fizike, Nauka, M., 1980 | MR

[2] Kinderlerer D., Stampakkya G., Vvedenie v variatsionnye neravenstva i ikh prilozheniya, Mir, M., 1983 | MR

[3] Bakhvalov N. S., Panasenko G. P., Osrednenie protsessov v periodicheskikh sredakh, Nauka, M., 1984 | MR | Zbl

[4] Zhikov V. V., Kozlov S. M., Oleinik O. A., Usrednenie differentsialnykh operatorov, Fizmatgiz, M., 1993 | MR | Zbl

[5] Pastukhova S. E., “Usrednenie smeshannoi zadachi s usloviyami Sinorini dlya ellipticheskogo operatora v perforirovannoi oblasti”, Mat. sb., 192:2 (2001), 87–102 | MR | Zbl

[6] Iosifyan G. A., “Ob usrednenii nekotorykh kraevykh zadach s nelineinymi granichnymi usloviyami v perforirovannykh oblastyakh”, Uspekhi mat. nauk, 51:5 (1996), 233–234 | MR

[7] Iosifyan G. A., “Ob usrednenii nekotorykh zadach s bystro ostsilliruyuschimi ogranicheniyami”, Tr. seminara im. I. G. Petrovskogo, 23, 2003, 188–205 | MR

[8] Van-Daik M. D., Metody vozmuschenii v mekhanike zhidkosti, Mir, M., 1967

[9] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989 | MR

[10] Nazarov S. A., “Asimptoticheskie usloviya v tochkakh, samosopryazhennye rasshireniya operatorov i metod sraschivaemykh razlozhenii”, Tr. S.-Peterburg. mat. o-va, 5, 1996, 112–183

[11] Polia G., Sege G., Izoperimetricheskie neravenstva v matematicheskoi fizike, Fizmatgiz, M., 1962

[12] Marchenko V. A., Khruslov E. Ya., Kraevye zadachi v oblastyakh s melkozernistoi granitsei, Nauk. dumka, Kiev, 1974 | MR

[13] Movchan A. B., Movchan N. V., Poulton C. G., Asymptotic Models of Fields in Dilute and Densely Packed Composites, Imperial College Press, Liverpool, 2002 | MR | Zbl

[14] Nazarov S. A., “Asimptoticheskoe reshenie zadachi s malymi prepyatstviyami”, Differents. uravneniya, 31:6 (1995), 1031–1041 | MR | Zbl

[15] Argatov I. I., Nazarov S. A., “Asimptoticheskoe reshenie zadachi Sinorini s malymi uchastkami svobodnoi granitsy”, Sib. mat. zhurn., 35:2 (1994), 258–277 | MR | Zbl

[16] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR

[17] Chechkin G. A., Chechkina T. P., “Ob usrednenii zadach v oblastyakh tipa “infuzorii””, Tr. seminara im. I. G. Petrovskogo, 23, 2003, 386–407 | MR | Zbl

[18] Sanches-Palensiya E., Neodnorodnye sredy i teoriya kolebanii, Mir, M., 1984 | MR

[19] Annin B. D., Kalamkarov A. L., Kolpakov A. G., Parton V. Z., Raschet i proektirovanie kompozitsionnykh materialov i elementov konstruktsii, Nauka, Novosibirsk, 1993

[20] Kolpakov A. G., “Konstruktsii malogo diametra s vnutrennimi odnostoronnimi kontaktami”, Prikl. mekhanika i tekhn. fizika, 35:1 (1994), 128–135 | MR

[21] Argatov I. I., Vvedenie v asimptoticheskoe modelirovanie v mekhanike, Politekhnika, SPb., 2004