A fundamental solution to the stationary equation for two-velocity hydrodynamics with one pressure
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 60-66.

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

We construct a fundamental solution for describing the three-dimensional steady flows of viscous fluids of a two-velocity continuum with phase equilibrium pressure.
Keywords: two-velocity hydrodynamics, fundamental solution, potentials of single and double layer.
Mots-clés : viscous fluid
@article{SJIM_2014_17_4_a5,
     author = {K. K. Imomnazarov and S. K. Imomnazarov and M. M. Mamatkulov and E. G. Chernykh},
     title = {A fundamental solution to the stationary equation for two-velocity hydrodynamics with one pressure},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {60--66},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a5/}
}
TY  - JOUR
AU  - K. K. Imomnazarov
AU  - S. K. Imomnazarov
AU  - M. M. Mamatkulov
AU  - E. G. Chernykh
TI  - A fundamental solution to the stationary equation for two-velocity hydrodynamics with one pressure
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2014
SP  - 60
EP  - 66
VL  - 17
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a5/
LA  - ru
ID  - SJIM_2014_17_4_a5
ER  - 
%0 Journal Article
%A K. K. Imomnazarov
%A S. K. Imomnazarov
%A M. M. Mamatkulov
%A E. G. Chernykh
%T A fundamental solution to the stationary equation for two-velocity hydrodynamics with one pressure
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2014
%P 60-66
%V 17
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a5/
%G ru
%F SJIM_2014_17_4_a5
K. K. Imomnazarov; S. K. Imomnazarov; M. M. Mamatkulov; E. G. Chernykh. A fundamental solution to the stationary equation for two-velocity hydrodynamics with one pressure. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 60-66. http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a5/

[1] Dorovskii V. N., “Obrazovanie dissipativnykh struktur v protsesse neobratimoi peredachi impulsa litosfery”, Geologiya i geofizika, 1987, no. 6, 108–117

[2] Dorovskii V. N., Perepechko Yu. V., “Teoriya chastichnogo plavleniya”, Geologiya i geofizika, 1989, no. 9, 56–64

[3] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Nauka, M., 1978 | MR

[4] Shlikhting G., Teoriya pogranichnogo sloya, Nauka, M., 1974

[5] Dorovskii V. N., “Kontinualnaya teoriya filtratsii”, Geologiya i geofizika, 1989, no. 7, 39–45

[6] Dorovskii V. N., Perepechko Yu. V., “Fenomenologicheskoe opisanie dvukhskorostnykh sred s relaksiruyuschimi kasatelnymi napryazheniyami”, Prikl. mekhanika i tekhn. fizika, 1992, no. 3, 94–105

[7] Gudovich I. S., Krein S. G., “O nekotorykh kraevykh zadachakh, ellipticheskikh v podprostranstve”, Mat. sb., 84(126):4 (1971), 595–606 | MR | Zbl

[8] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR