@article{VMJ_2010_12_1_a3,
author = {A. B. Morgulis},
title = {Method of successive approximations for the problem of fluid flow in a deformable domain},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {33--52},
year = {2010},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2010_12_1_a3/}
}
A. B. Morgulis. Method of successive approximations for the problem of fluid flow in a deformable domain. Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 1, pp. 33-52. http://geodesic.mathdoc.fr/item/VMJ_2010_12_1_a3/
[1] Pedli T., Gidrodinamika krupnykh krovenosnykh sosudov, Mir, M., 1983, 400 pp.
[2] Sennitskii V. L., “O povedenii pulsiruyuschego tverdogo tela v vyazkoi zhidkosti v prisutstvii sily tyazhesti”, PMTF, 42:5 (2001), 93–97 | Zbl
[3] Miloh T., Galper A., “Self-propulsion of general deformable shapes in a perfect fluid”, Proc. Roy. Soc. London A, 442 (1993), 273–299 | DOI | Zbl
[4] Yudovich V. I., “Nestatsionarnye techeniya idealnoi neszhimaemoi zhidkosti”, Zhurn. vychisl. mat-ki i mat. fiziki, 3:6 (1963), 1032–1066 | MR | Zbl
[5] Wolibner W., “Un theoreme sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long”, Math. Zeitschrift., 37 (1933), 698–726 | DOI | MR | Zbl
[6] Yudovich V. I., “Dvumernaya nestatsionarnaya zadacha o protekanii idealnoi neszhimaemoi zhidkosti cherez zadannuyu oblast”, Mat. sb., 64:4 (1964), 562–588 | MR
[7] Polia G., Segë G., Izoperimetricheskie neravenstva v matematicheskoi fizike, Fizmatgiz, M., 1962, 336 pp. | MR
[8] Yudovich V. I., “Nekotorye otsenki reshenii ellipticheskikh uravnenii”, Mat. sb., 59:101 (1962), 229–244 | MR | Zbl
[9] Gilbarg D., Trudinger N., Ellipticheskie differentsialnye uravneniya s chastnymi proizvodnymi vtorogo poryadka, Nauka, M., 1989, 464 pp. | MR | Zbl
[10] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973, 344 pp. | MR
[11] Yudovich V. I., Metod linearizatsii v gidrodinamicheskoi teorii ustoichivosti, Izd-vo RGU, Rostov-na-Donu, 1984, 180 pp. | Zbl
[12] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970, 720 pp. | MR
[13] Yudovich V. I., “Uniqueness theorem for the basic nonstationary problem in the dynamics of an ideal incompressible fluid”, Math. Res. Lett., 2:1 (1995), 27–38 | DOI | MR | Zbl
[14] Vishik M., “Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type”, Ann. Sci. Ecole Norm. Sup. (4), 32:6 (1999), 769–812 | MR | Zbl