@article{UZKU_2006_148_3_a0,
author = {M. M. Alimov},
title = {Bubble growth at the {Hele-Shaw} cell with only one fiord formation},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {5--22},
year = {2006},
volume = {148},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_3_a0/}
}
TY - JOUR AU - M. M. Alimov TI - Bubble growth at the Hele-Shaw cell with only one fiord formation JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2006 SP - 5 EP - 22 VL - 148 IS - 3 UR - http://geodesic.mathdoc.fr/item/UZKU_2006_148_3_a0/ LA - ru ID - UZKU_2006_148_3_a0 ER -
M. M. Alimov. Bubble growth at the Hele-Shaw cell with only one fiord formation. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 3, pp. 5-22. http://geodesic.mathdoc.fr/item/UZKU_2006_148_3_a0/
[1] Saffman P. G., Taylor G. I., “The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid”, Proc. Roy. Soc. London. Ser. A, 245:1242 (1958), 312–329 | DOI | MR | Zbl
[2] Paterson L., “Radial fingering in a Hele Shaw cell”, J. Fluid Mech., 113 (1981), 513–529 | DOI
[3] Couder Y., Cardoso O., Dupuy D., Tavernier P., Thom W., “Dendritic growth in the Saffman–Taylor experiment”, Europhys. Lett., 2:6 (1986), 437–443 | DOI
[4] Okendon Dzh. R., Khovison S. D., “P. Ya. Kochina i Khele-Shou v sovremennoi matematike, estestvennykh naukakh i tekhnike”, PMM, 66:3 (2002), 515–524 | MR
[5] Polubarinova-Kochina P. Ya., “K voprosu o peremeschenii kontura neftenosnosti”, Dokl. AN SSSR, 47:4 (1945), 254–257
[6] Galin L. A., “Neustanovivshayasya filtratsiya so svobodnoi granitsei”, Dokl. AN SSSR, 47:4 (1945), 250–253 | MR
[7] Kufarev P. P., “Reshenie zadachi o konture neftenosnosti dlya kruga”, Dokl. AN SSSR, 60:8 (1948), 1333–1334 | MR
[8] Shraiman B., Bensimon D., “Singularities in nonlocal interface dynamics”, Phys. Rev. A, 30:5 (1984), 2840–2842 | DOI | MR
[9] Howison S. D., “Fingering in Hele-Shaw cells”, J. Fluid Mech., 167 (1986), 439–453 | DOI | MR | Zbl
[10] Howison S. D., “Complex variable methods in Hele-Shaw moving boundary problems”, Europ. J. Appl. Math., 3:3 (1992), 209–224 | DOI | MR | Zbl
[11] Dai W-S., Kadanoff L. P., Zhou S.-M., “Interface dynamics and the motion of complex singularities”, Phys. Rev. A, 43:12 (1991), 6672–6682 | DOI
[12] Hohlov Y. E., Howison S. D., “On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows”, Quart. Appl. Math., 51:4 (1993), 777–789 | MR | Zbl
[13] Alimov M. M., “Obschee reshenie zadachi Khele-Shou dlya techenii v kanale”, PMM, 70:3 (2006), 384–399 | MR | Zbl
[14] Lamb H., Hydrodynamics, Univ. Press, Cambridge, 1932 ; Ламб Г., Гидродинамика, Гостехиздат, М.–Л., 1947, 928 с. | MR | Zbl
[15] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1973, 736 pp. | MR
[16] Davis P. J., The Schwarz Function and its Applications, Math. Assoc. of America, Washington., 1974, 228 pp. | MR
[17] Arnold V. I., Obyknovennye differentsialnye uravneniya, Nauka, M., 1984, 271 pp. | MR
[18] Schutz B. F., Geometrical Methods of Mathematical Physics, Univ. Press, Cambridge, 1982; Шутц Б., Геометрические методы математической физики, Мир, М., 1984, 303 с.