Geodesic
Direct and inverse problems on the joint movement of the three viscous liquids in the flat layers
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 363-370.

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

The exact stationary decision of the problem about the joint movement of the three viscous liquids in the flat layers has been found. The decision of the direct and inverse non-stationary problem has been given in the form of the final analytical formulas using the method of Laplas transformation. The following statement has been proved: if a gradient of the pressure in one liquid has a final limit, then the decision is located on a stationary mode. Also for a problem about the “the flooded layer” movement it has been shown that velocities converge to the different constants with the time growth.
Mots-clés : interface, Laplace transformation.
Keywords: boundary value problem 
@article{JSFU_2011_4_3_a9,
     author = {Elena N. Lemeshkova},
     title = {Direct and inverse problems on the joint movement of the three viscous liquids in the flat layers},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {363--370},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a9/}
}
TY  - JOUR
AU  - Elena N. Lemeshkova
TI  - Direct and inverse problems on the joint movement of the three viscous liquids in the flat layers
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2011
SP  - 363
EP  - 370
VL  - 4
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a9/
LA  - ru
ID  - JSFU_2011_4_3_a9
ER  - 
%0 Journal Article
%A Elena N. Lemeshkova
%T Direct and inverse problems on the joint movement of the three viscous liquids in the flat layers
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2011
%P 363-370
%V 4
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a9/
%G ru
%F JSFU_2011_4_3_a9
Elena N. Lemeshkova. Direct and inverse problems on the joint movement of the three viscous liquids in the flat layers. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 363-370. http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a9/

[1] V. V. Pukhnachev, Dvizhenie vyazkoi zhidkosti so svobodnymi granitsami, NGU, Novosibirsk, 1989 | MR

[2] V. K. Andreev, “Ob odnoi sopryazhënnoi nachalno-kraevoi zadache”, Differentsialnye uravneniya, 44:5 (2008), 1–7

[3] M. A. Lavrentev, B. V. Shabat, Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1987 | MR