On some systems of equations containing a small parameter
Sbornik. Mathematics, Tome 39 (1981) no. 3, pp. 289-298 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper considers special linearizations of a two-dimensional system of Navier–Stokes equations in which the group of convective terms is reduced to the simplest system of the first order of hyperbolic or elliptic type with constant coefficients. In a rectangular domain, subject to conditions of periodicity in one of the variables, the behavior of solutions is studied as the coefficient of viscosity tends towards zero. Bibliography: 6 titles.
@article{SM_1981_39_3_a0,
     author = {A. A. Dezin},
     title = {On some systems of equations containing a~small parameter},
     journal = {Sbornik. Mathematics},
     pages = {289--298},
     year = {1981},
     volume = {39},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_39_3_a0/}
}
TY  - JOUR
AU  - A. A. Dezin
TI  - On some systems of equations containing a small parameter
JO  - Sbornik. Mathematics
PY  - 1981
SP  - 289
EP  - 298
VL  - 39
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SM_1981_39_3_a0/
LA  - en
ID  - SM_1981_39_3_a0
ER  - 
%0 Journal Article
%A A. A. Dezin
%T On some systems of equations containing a small parameter
%J Sbornik. Mathematics
%D 1981
%P 289-298
%V 39
%N 3
%U http://geodesic.mathdoc.fr/item/SM_1981_39_3_a0/
%G en
%F SM_1981_39_3_a0
A. A. Dezin. On some systems of equations containing a small parameter. Sbornik. Mathematics, Tome 39 (1981) no. 3, pp. 289-298. http://geodesic.mathdoc.fr/item/SM_1981_39_3_a0/

[1] N. E. Kochin, I. A. Kibel, N. V. Roze, Teoreticheskaya gidromekhanika, Moskva, 1963

[2] A. A. Dezin, “Operatory s pervoi proizvodnoi po “vremeni” i nelokalnye granichnye usloviya”, Izv. AN SSSR, seriya matem., 31 (1967), 61–86 | MR | Zbl

[3] A. A. Dezin, “Ob operatornykh uravneniyakh vtorogo poryadka”, Sib. matem. zh., 19:5 (1978), 1032–1042 | MR | Zbl

[4] M. A. Naimark, Lineinye differentsialnye operatory, izd-vo “Nauka”, Moskva, 1969 | MR

[5] M. I. Vishik, L. A. Lyusternik, “Regulyarnoe vyrozhdenie i pogranichnyi sloi dlya lineinykh differentsialnykh uravnenii s malym parametrom”, Uspekhi matem. nauk, XII:5 (1957), 3–122 | MR

[6] V. K. Romanko, “Granichnye zadachi dlya odnogo klassa differentsialnykh operatorov”, Diff. uravneniya, 10:1 (1974), 117–131 | MR | Zbl