Geodesic
On one model of a~vortex motion of an incompressible polymeric fluid in the axial zone
Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 1, pp. 52-61.

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

We construct a nonstationary mathematical model of a vortex motion of an incompressible polymeric fluid. Some partial solutions to this model are found in the stationary case. We deduce a variant of this model when the pressure is time-independent along the axis.
Keywords: rheological model, nonstationary mathematical model
Mots-clés : vortex motion. 
@article{SJIM_2016_19_1_a4,
     author = {A. M. Blokhin and R. E. Semenko},
     title = {On one model of a~vortex motion of an incompressible polymeric fluid in the axial zone},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {52--61},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2016_19_1_a4/}
}
TY  - JOUR
AU  - A. M. Blokhin
AU  - R. E. Semenko
TI  - On one model of a~vortex motion of an incompressible polymeric fluid in the axial zone
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2016
SP  - 52
EP  - 61
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2016_19_1_a4/
LA  - ru
ID  - SJIM_2016_19_1_a4
ER  - 
%0 Journal Article
%A A. M. Blokhin
%A R. E. Semenko
%T On one model of a~vortex motion of an incompressible polymeric fluid in the axial zone
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2016
%P 52-61
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2016_19_1_a4/
%G ru
%F SJIM_2016_19_1_a4
A. M. Blokhin; R. E. Semenko. On one model of a~vortex motion of an incompressible polymeric fluid in the axial zone. Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 1, pp. 52-61. http://geodesic.mathdoc.fr/item/SJIM_2016_19_1_a4/

[1] Altukhov Yu. A., Gusev A. S., Pyshnograi G. V., Vvedenie v mezoskopicheskuyu teoriyu tekuchikh polimernykh sistem, izd. AltGPA, Barnaul, 2012

[2] Golovicheva N. E., Pyshnograi G. V., Popov V. I., “Obobschenie zakona Puazeilya na osnove reologicheskogo opredelyayuschego sootnosheniya polimernykh zhidkostei”, Prikl. mekhanika i tekhn. fizika, 40:5 (1999), 158–163 | Zbl

[3] Gubin A. Yu., “Ob ustoichivosti odnogo vikhrevogo dvizheniya vyazkoi neszhimaemoi zhidkosti”, Sib. zhurn. industr. matematiki, 7:2(18) (2004), 40–53 | MR | Zbl

[4] Ulyanov O. N., “Ob odnom klasse techenii vyazkoi zhidkosti”, Tr. IMM UrO RAN, 9, no. 2, 2003, 129–136 | MR | Zbl

[5] Spravochnik po spetsialnym funktsiyam, Nauka, M., 1979

[6] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1971 | MR

[7] Yanenko N. N., Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki, Nauka, Novosibirsk, 1967