@article{SM_1988_60_1_a0,
author = {B. V. Bazalii and S. P. Degtyarev},
title = {On classical solvability of the multidimensional {Stefan} problem for convective motion of a~viscous incompressible fluid},
journal = {Sbornik. Mathematics},
pages = {1--17},
year = {1988},
volume = {60},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1988_60_1_a0/}
}
TY - JOUR AU - B. V. Bazalii AU - S. P. Degtyarev TI - On classical solvability of the multidimensional Stefan problem for convective motion of a viscous incompressible fluid JO - Sbornik. Mathematics PY - 1988 SP - 1 EP - 17 VL - 60 IS - 1 UR - http://geodesic.mathdoc.fr/item/SM_1988_60_1_a0/ LA - en ID - SM_1988_60_1_a0 ER -
%0 Journal Article %A B. V. Bazalii %A S. P. Degtyarev %T On classical solvability of the multidimensional Stefan problem for convective motion of a viscous incompressible fluid %J Sbornik. Mathematics %D 1988 %P 1-17 %V 60 %N 1 %U http://geodesic.mathdoc.fr/item/SM_1988_60_1_a0/ %G en %F SM_1988_60_1_a0
B. V. Bazalii; S. P. Degtyarev. On classical solvability of the multidimensional Stefan problem for convective motion of a viscous incompressible fluid. Sbornik. Mathematics, Tome 60 (1988) no. 1, pp. 1-17. http://geodesic.mathdoc.fr/item/SM_1988_60_1_a0/
[1] Cannon Y. R., Benedetto E. D., Kinghtly G. H., “The steady state Stefan problem with convection”, Arch. Ration. Mech. and Anal., 1980, no. 73, 79–97 | DOI | MR | Zbl
[2] Oleinik O. A., “Ob odnom metode resheniya obschei zadachi Stefana”, DAN SSSR, 135:5 (1960), 1054–1057 | MR
[3] Cannon Y. R., Benedetto E. D., Knightly G. H., “The bidimensional Stefan problem with convection the time dependent case”, Commun. Part. Diff. Equat., 8:14 (1983), 1549–1604 | DOI | MR | Zbl
[4] Caffarelli L. A., “Some aspects of one-phase Stefan problem”, Indiana Univ. Math. I, 27 (1978), 73–77 | DOI | MR | Zbl
[5] Kinderlehrer D., Nirenberg L., “The smoothness of the free boundary in the one phase Stefan problem”, Comm. Pure. Appl. Math., 31 (1978), 257–282 | DOI | MR | Zbl
[6] Meirmanov A. M., “O klassicheskom reshenii mnogomernoi zadachi Stefana dlya kvazilineinykh parabolicheskikh uravnenii”, Matem. sb., 112(154):2(6) (1980), 170–192 | MR | Zbl
[7] Hanzawa E.-I., “Classical solutions of the Stefan problem”, Tohoku Math. Journ., 33 (1981), 297–335 | DOI | MR | Zbl
[8] Solonnikov V. A., “Otsenka resheniya odnoi nachalno-kraevoi zadachi dlya lineinoi nestatsionarnoi sistemy uravnenii Nave–Stoksa”, Zap. nauchn. seminarov LOMI, 59 (1976), 178–254 | MR | Zbl
[9] Solonnikov V. A., “O razreshimosti vtoroi nachalno-kraevoi zadachi dlya lineinoi nestatsionarnoi sistemy uravnenii Nave–Stoksa”, Zap. nauchn. seminarov LOMI, 69 (1977), 200–218 | MR | Zbl
[10] Solonnikov V. A., “Razreshimost zadachi o dvizhenii vyazkoi neszhimaemoi zhidkosti, ogranichennoi svobodnoi poverkhnostyu”, Izv. AN SSSR. Ser. matem., 41:6 (1977), 1388–1424 | MR | Zbl
[11] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967, 736 pp. | MR
[12] Solonnikov V. A., “O differentsialnykh svoistvakh resheniya pervoi kraevoi zadachi dlya nestatsionarnoi sistemy uravnenii Nave–Stoksa”, Tr. MIAN, 73, 1964, 221–291 | MR | Zbl
[13] Beitmen G., Erdein A., Tablitsy integralnykh preobrazovanii, Nauka, M., 1969
[14] Bazalii B. V., “Ustoichivost gladkikh reshenii dvukhfaznoi zadachi Stefana”, DAN SSSR, 262:2 (1982), 265–269 | MR | Zbl
[15] Bazalii B. V., “Issledovanie dvukhfaznoi zadachi Stefana v okrestnosti statsionarnogo resheniya”, DAN USSR. Ser. A, 1983, no. 12, 3–7 | MR | Zbl