Geodesic
Justification of the linearization method in the~flow problem
Izvestiya. Mathematics , Tome 45 (1995) no. 2, pp. 315-337.

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

The linearization method is justified in the problem of flow of viscous incompressible fluid past a body. As a preliminarily the Oseen operator is investigated, and estimates are established for its resolvent and the semigroup generated by it. 
@article{IM2_1995_45_2_a4,
     author = {L. I. Sazonov},
     title = {Justification of the linearization method in the~flow problem},
     journal = {Izvestiya. Mathematics },
     pages = {315--337},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a4/}
}
TY  - JOUR
AU  - L. I. Sazonov
TI  - Justification of the linearization method in the~flow problem
JO  - Izvestiya. Mathematics 
PY  - 1995
SP  - 315
EP  - 337
VL  - 45
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a4/
LA  - en
ID  - IM2_1995_45_2_a4
ER  - 
%0 Journal Article
%A L. I. Sazonov
%T Justification of the linearization method in the~flow problem
%J Izvestiya. Mathematics 
%D 1995
%P 315-337
%V 45
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a4/
%G en
%F IM2_1995_45_2_a4
L. I. Sazonov. Justification of the linearization method in the~flow problem. Izvestiya. Mathematics , Tome 45 (1995) no. 2, pp. 315-337. http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a4/

[1] Yu. L. Daletskii, M. G. Krein, Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR

[2] V. I. Yudovich, Metod linearizatsii v gidrodinamicheskoi teorii ustoichivosti, Izd-vo RGU, Rostov-na-Donu, 1984 | Zbl

[3] D. Khenri, Geometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Mir, M., 1985 | MR

[4] L. I. Sazonov, V. I. Yudovich, “Ustoichivost statsionarnykh reshenii parabolicheskikh uravnenii i sistemy Nave–Stoksa vo vsem prostranstve”, Sib. matem. zhurn., 29:1 (1989), 151–158 | MR

[5] L. I. Sazonov, “Obosnovanie metoda linearizatsii v zadache obtekaniya”, DAN, 323:1 (1992), 48–51 | MR

[6] M. A. Krasnoselskii, P. P. Zabreiko, E. I. Pustylnik, P. E. Sobolevskii, Integralnye operatory v prostranstvakh summiruemykh funktsii, Nauka, M., 1966 | MR

[7] O. A. Ladyzhenskaya, Matematicheskie voprosy dinamiki neszhimaemoi zhidkosti, Nauka, M., 1970

[8] L. Khermander, Otsenki dlya operatorov, invariantnykh otnositelno sdviga, IL, M., 1962

[9] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, v 4-kh t., t. 1, Mir, M., 1977 | MR

[10] K. Iosida, Funktsionalnyi analiz, Mir, M., 1967 | MR

[11] K. I. Babenko, “O spektre linearizovannoi zadachi obtekaniya tela vyazkoi neszhimaemoi zhidkostyu”, DAN SSSR, 262:1 (1982) | MR

[12] K. I. Babenko, “O statsionarnykh resheniyakh zadachi obtekaniya tela vyazkoi neszhimaemoi zhidkostyu”, Matem. sb., 91(133):1(5) (1973), 3–26 | MR | Zbl

[13] X. Tribel, Teoriya interpolyatsii, funktsionalnye prostranstva, differentsialnye operatory, Mir, M., 1980 | MR