@article{SM_1973_20_1_a0,
author = {K. I. Babenko},
title = {On~stationary solutions of the problem of flow past a~body of a~viscous incompressible fluid},
journal = {Sbornik. Mathematics},
pages = {1--25},
year = {1973},
volume = {20},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1973_20_1_a0/}
}
K. I. Babenko. On stationary solutions of the problem of flow past a body of a viscous incompressible fluid. Sbornik. Mathematics, Tome 20 (1973) no. 1, pp. 1-25. http://geodesic.mathdoc.fr/item/SM_1973_20_1_a0/
[1] J. Leray, “Etude de diverses equations, integrates non lineaire et de quelques problemes que pos l'Hydrodynamique”, J. Math. pures et appl., 9:12 (1933), 1–82 | MR | Zbl
[2] J. Leray, “Les problèmes non lineaires”, Enseign. math., 35 (1936), 139–151 | Zbl
[3] O. A. Ladyzhenskaya, “Issledovanie uravnenii Nave - Stoksa v sluchae statsionarnogo dvizheniya neszhimaemoi zhidkosti”, Uspekhi matem. nauk, XIV:3 (92) (1959), 75–97
[4] R. Finn, “On the steady-state solutions of the Navier-Stokes equations”, Acta Math., 105 (1961), 197–244 | DOI | MR | Zbl
[5] R. Finn, “Estmates at infinity for stationary solutions of the Navier-Stokes equations”, Bull. Math. de la Soc. Sc. Math.Phys. de la RPR, 3 (51) (1959), 387–418 | MR
[6] R. Finn, “Stationary solutions of the Navier-Stokes equations”, Proc. Symp. Appl. Math., 19, Amer. Math. Soc., 1965 | MR
[7] R. Finn, “On exterior stationary problem for the Navier-Stokes equation and associated perturbation problems”, Arch. Rat. Mech. Anal., 19 (1965), 363–406 | DOI | MR | Zbl
[8] K. I. Babenko, “Ob asimptoticheskom povedenii vikhrya vdali ot tela pri obtekanii ego ploskim potokom vyazkoi zhidkosti”, Prikl. matem. i mekh., 34 (1970), 911–925 | Zbl
[9] K. I. Babenko, M. M. Vasilev, Asimptoticheskoe povedenie resheniya zadachi obtekaniya konechnogo tela vyazkoi zhidkostyu, Preprint IPM, No 84, Moskva, 1971
[10] D. Clark, “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
[11] V. V. Pukhnachev, “Otsenka skorosti ubyvaniya vikhrya vdali ot tela vrascheniya pri osesimmetricheskom obtekanii ego potokom vyazkoi neszhimaemoi zhidkosti”, Dinamika sploshnoi sredy, no. VIII, Novosibirsk, 1971, 33–48
[12] S. G. Mikhlin, Mnogomernye singulyarnye integraly i integralnye uravneniya, Fizmatgiz, Moskva, 1962 | Zbl
[13] P. I. Lizorkin, O multiplikatorakh integralov Fure v prostranstvakh $L_{p, \theta}$. Teoremy vlozheniya i ikh prilozheniya, izd-vo «Nauka», Moskva, 1970
[14] S. L. Sobolev, “Ob odnoi teoreme funktsionalnogo analiza”, Matem. sb., 4(46) (1938), 471–497 | Zbl
[15] E. Hopf, “Ein allgemeiner Endlichkeitssatz der Hydrodynamik”, Math. Ann., 117 (1940–1941), 764–775 | DOI | MR
[16] E. Gagliardo, “Propietà di alcune classi di funzioni in più variabili”, Ricerche di matem., 7:1 (1958), 102–137 | MR | Zbl