Geodesic
Navier--Stokes-alpha model with temperature-dependent viscosity
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 53-56.

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

The existence of a weak solution for the Navier–Stokes-alpha model with temperature-dependent viscosity is proved using the topological approximation method for the study of hydrodynamic problems.
Keywords: alpha-model, existence theorem, Navier–Stokes system, weak solution. 
@article{DANMA_2020_491_a9,
     author = {A. V. Zvyagin},
     title = {Navier--Stokes-alpha model with temperature-dependent viscosity},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {53--56},
     publisher = {mathdoc},
     volume = {491},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_491_a9/}
}
TY  - JOUR
AU  - A. V. Zvyagin
TI  - Navier--Stokes-alpha model with temperature-dependent viscosity
JO  - Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
PY  - 2020
SP  - 53
EP  - 56
VL  - 491
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DANMA_2020_491_a9/
LA  - ru
ID  - DANMA_2020_491_a9
ER  - 
%0 Journal Article
%A A. V. Zvyagin
%T Navier--Stokes-alpha model with temperature-dependent viscosity
%J Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
%D 2020
%P 53-56
%V 491
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DANMA_2020_491_a9/
%G ru
%F DANMA_2020_491_a9
A. V. Zvyagin. Navier--Stokes-alpha model with temperature-dependent viscosity. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 53-56. http://geodesic.mathdoc.fr/item/DANMA_2020_491_a9/

[1] Lemarie-Rieusset P.G., The Navier-Stokes problem in the 21st century, CRC Press, Taylor and Francis Group, 2016 | MR | Zbl

[2] Foias C., Holm D.D., Titi E.S., J. Dynam. Differential Equations, 14:1 (2002), 1–35 | DOI | MR | Zbl

[3] Zvyagin V.G., Orlov V.P., JFPTA, 15 (2014), 3–47 | MR | Zbl

[4] Zvyagin V.G., Orlov V.P., J. Math. Anal. Appl., 453 (2017), 589–606 | DOI | MR | Zbl

[5] Zvyagin A.V., Orlov V.P., Mat. zametki, 97:5 (2015), 681–698 | DOI | MR | Zbl

[6] Zvyagin A.V., Sib. mat. zhurnal, 59:5 (2018), 1066–1085 | MR | Zbl

[7] Zvyagin A.V., Mat. zametki, 105:6 (2019), 839–856 | DOI | Zbl

[8] Zvyagin A.V., Izvestiya vuzov. Mat., 2016, no. 10, 70–75 | Zbl

[9] Fursikov A.V., Optimalnoe upravlenie raspredelennymi sistemami, Nauchn. kniga, Novosibirsk, 1999

[10] Simon J., Annali di Matematica Pura ed Applicata, 146 (1987), 65–96 | DOI | MR | Zbl