Geodesic
Investigation of boundary-value problem for stationary system of equations of viscous non-isothermal fluid
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 60-69.

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

In the Stokes approximation at small Reynolds and Peclet numbers, we obtain a solution to the boundary-value problem of flow around of particles of spherical shape for stationary system of equations of a viscous non-isothermal fluid comprising a linearized by speed system of Navier–Stokes equations and the equation of heat transfer given an exponential-power law of dependence of viscosity of liquids on temperature.
Keywords: equations of hydrodynamics, the linearized by velocity Navier–Stokes equation. 
@article{IVM_2018_4_a5,
     author = {N. V. Malai and E. R. Shchukin and A. V. Limanskaya},
     title = {Investigation of boundary-value problem for stationary system of equations of viscous non-isothermal fluid},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {60--69},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_4_a5/}
}
TY  - JOUR
AU  - N. V. Malai
AU  - E. R. Shchukin
AU  - A. V. Limanskaya
TI  - Investigation of boundary-value problem for stationary system of equations of viscous non-isothermal fluid
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2018
SP  - 60
EP  - 69
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2018_4_a5/
LA  - ru
ID  - IVM_2018_4_a5
ER  - 
%0 Journal Article
%A N. V. Malai
%A E. R. Shchukin
%A A. V. Limanskaya
%T Investigation of boundary-value problem for stationary system of equations of viscous non-isothermal fluid
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2018
%P 60-69
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2018_4_a5/
%G ru
%F IVM_2018_4_a5
N. V. Malai; E. R. Shchukin; A. V. Limanskaya. Investigation of boundary-value problem for stationary system of equations of viscous non-isothermal fluid. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 60-69. http://geodesic.mathdoc.fr/item/IVM_2018_4_a5/

[1] Ladyzhenskaya O. A., “Issledovanie uravneniya Nave–Stoksa v sluchae statsionarnogo dvizheniya neszhimaemoi zhidkosti”, UMN, XIV:3(87) (1959), 75–97 | Zbl

[2] Ladyzhenskaya O. A., “Shestaya problema tysyacheletiya: uravneniya Nave–Stoksa. Suschestvovanie i gladkost”, UMN, 58:2(350 (2003), 44–78 | DOI | MR

[3] Naidenov V. I., “Ustanovivsheesya techenie vyazkoi neszhimaemoi zhidkosti s uchetom zavisimosti vyazkosti ot temperatury”, PMM, 38:1 (1971), 162–166

[4] Golovin A. M., Fominykh V. V., “Dvizhenie sfericheskoi chastitsy v vyazkoi neizotermicheskoi zhidkosti”, Izv. RAN. Mekhanika zhidkosti i gaza, 4 (1983), 38–42

[5] Malai N. V., Pleskanev A. A., Schukin E. R., “K voprosu o vliyanii vnutrennego teplovydeleniya na dvizhenie nagretoi tverdoi chastitsy v vyazkoi zhidkosti”, Zhurn. tekhn. fiziki, 76:3 (2006), 25–29

[6] Yalamov Yu. I., Malai N. V., Schukin E. R., “Osobennosti termokapillyarnogo dreifa nagretoi kapli v vyazkoi zhidkosti v pole elektromagnitnogo izlucheniya”, Dokl. RAN, 379:6 (2001), 1–6

[7] Bretshnaider S., Svoistva gazov i zhidkostei. Inzhenernye metody rascheta, Khimiya, M.–L., 1966

[8] Khappel Dzh., Gidrodinamika pri malykh chislakh Reinoldsa, Mir, M., 1960

[9] Landau L. D., Lifshits E. M., Mekhanika sploshnykh sred, ITTL, M., 1954

[10] Malai N. V., Mironova N. N., Glushak A. V., “Reshenie kraevoi zadachi dlya uravneniya Nave–Stoksa pri obtekanii nagretogo sferoida gazoobraznoi sredoi”, Differents. uravneniya, 48:6 (2012), 879–884

[11] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, GIFML, M., 1981

[12] Koddington E. A., Levinson N., Teoriya obyknovennykh differentsialnykh uravnenii, In. lit., M., 1958

[13] Malai N. V., Schukin E. R., Stukalov A. A., Ryazanov K. S., “Gravitatsionnoe dvizhenie ravnomerno nagretoi tverdoi chastitsy v gazoobraznoi srede”, SO RAN. Prikl. mekhan. i tekhn. fizika, 49:1 (2008), 74–80

[14] Malai N. V., Schukin E. R., Shulimanova Z. L., “Molekulyarnyi teploobmen tverdoi sfericheskoi chastitsy s gazoobraznoi sredoi”, Teplofizika vysokikh temperatur, 51:4 (2013), 552–557 | DOI