On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies
Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 1051-1075.

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

In this paper a new presentation is given of known results about the asymptotics of the flow problem. The question of the construction of higher terms of the asymptotics is studied.
@article{IM2_1995_59_5_a9,
     author = {L. I. Sazonov},
     title = {On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies},
     journal = {Izvestiya. Mathematics },
     pages = {1051--1075},
     publisher = {mathdoc},
     volume = {59},
     number = {5},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a9/}
}
TY  - JOUR
AU  - L. I. Sazonov
TI  - On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies
JO  - Izvestiya. Mathematics 
PY  - 1995
SP  - 1051
EP  - 1075
VL  - 59
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a9/
LA  - en
ID  - IM2_1995_59_5_a9
ER  - 
%0 Journal Article
%A L. I. Sazonov
%T On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies
%J Izvestiya. Mathematics 
%D 1995
%P 1051-1075
%V 59
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a9/
%G en
%F IM2_1995_59_5_a9
L. I. Sazonov. On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies. Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 1051-1075. http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a9/

[1] Leray J., “Etude de diverses equations, integrales non lineaire et de quelques problemes que pose l'Hydrodinamique”, J. Math. pures et appl. (IX), XII (1933), 1–82

[2] Ladyzhenskaya O. A., “Issledovanie uravnenii Nave–Stoksa v sluchae statsionarnogo dvizheniya neszhimaemoi zhidkosti”, UMN, 14:3 (1959), 75–97 | MR

[3] Finn R., “On the steady-state Solutions of the Navier–Stokes Equations”, Acta Math., 105 (1961), 197–244 | DOI | MR | Zbl

[4] Fujita H., “On the Existence and Regularity of the Steady-State Solutions of the Navier–Stokes Equations”, J. Fac. Sci. Univ. of Tokyo, 9 (1961), 59–102 | MR | Zbl

[5] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Fizmatgiz, M., 1961

[6] Finn R., Statsionarnye resheniya uravnenii Nave–Stoksa, Nauka, Novosibirsk, 1967

[7] Finn R., “Estimates at Infinity for Stationary Solutions of the Navier–Stokes Equations”, Bull. Math. de la Soc. Sci. Math. Phus. de la R.P.R., 3 (51) (1959), 387–418 | MR

[8] Clark D., “The vorticity at infinity for solutions of the stationary Navier–Stokes equations in exterior domains”, Indiana Math. J., 20:7 (1971), 633–654 | DOI | MR | Zbl

[9] Pukhnachev V. V., “Otsenka skorosti ubyvaniya vikhrya ot tela vrascheniya pri osesimmetrichnom obtekanii ego potokom vyazkoi neszhimaemoi zhidkosti”, Dinamika sploshnoi sredy, no. VIII, Nauka, Novosibirsk, 1971, 33–48

[10] Babenko K. I., “O statsionarnykh resheniyakh zadachi obtekaniya tela vyazkoi neszhimaemoi zhidkostyu”, Matem. sb., 91:1 (1973), 3–26 | MR | Zbl

[11] Babenko K. I., Vasilev M. M., “Ob asimptoticheskom povedenii statsionarnogo techeniya vyazkoi zhidkosti vdali ot tela”, PMM, 37:4 (1973), 690–705 | MR | Zbl

[12] Vasilev M. M., “Ob asimptoticheskom povedenii skorosti i silakh, deistvuyuschikh na telo, v statsionarnom potoke vyazkoi zhidkosti”, PMM, 38:1 (1974), 84–91 | MR | Zbl

[13] Yavorskii N. I., “Ob asimptoticheskom laminarnom slede”, PMM, 54:4 (1990), 543–553 | MR

[14] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR

[15] Mikhlin S. G., Mnogomernye singulyarnye integraly i integralnye uravneniya, Fizmatgiz, M., 1962 | MR | Zbl

[16] Lizorkin P. I., “O multiplikatorakh integralov Fure v prostranstvakh $L_{p,\theta }$”, Teoremy vlozheniya i ikh prilozheniya, Nauka, M., 1970, 137–141 | MR | Zbl