@article{ZVMMF_2000_40_2_a4,
author = {A. N. Vasil'ev and A. P. Mikhailov},
title = {Blow-up self-similar solutions of {Cauchy} problems for the quasilinear parabolic equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {207--222},
year = {2000},
volume = {40},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_2_a4/}
}
TY - JOUR AU - A. N. Vasil'ev AU - A. P. Mikhailov TI - Blow-up self-similar solutions of Cauchy problems for the quasilinear parabolic equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2000 SP - 207 EP - 222 VL - 40 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_2_a4/ LA - ru ID - ZVMMF_2000_40_2_a4 ER -
%0 Journal Article %A A. N. Vasil'ev %A A. P. Mikhailov %T Blow-up self-similar solutions of Cauchy problems for the quasilinear parabolic equation %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2000 %P 207-222 %V 40 %N 2 %U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_2_a4/ %G ru %F ZVMMF_2000_40_2_a4
A. N. Vasil'ev; A. P. Mikhailov. Blow-up self-similar solutions of Cauchy problems for the quasilinear parabolic equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 2, pp. 207-222. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_2_a4/
[1] Vasilev A. N., Mikhailov A. P., “Avtomodelnye resheniya zadachi Koshi dlya uravneniya nelineinoi teploprovodnosti”, Zh. vychisl. matem. i matem. fiz., 38:5 (1998), 788–800 | MR
[2] Vasilev A. N., Mikhailov A. P., Avtomodelnaya zadacha Koshi dlya uravneniya nelineinoi teploprovodnosti (suschestvovanie i svoistva reshenii), Preprint No 4, IMM RAN, M., 1994
[3] Samarskii A. A., Galaktionov V. A., Kurdyumov S. P., Mikhailov A. P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Nauka, M., 1987 | MR
[4] Zeldovich Ya. B., Kompaneets A. S., “K teorii rasprostraneniya tepla pri teploprovodnosti, zavisyaschei ot temperatury”, Sb., posvyasch. 70-letiyu akad. A. F. Ioffe, Izd-vo AN SSSR, M., 1950, 61–71
[5] Barenblatt G. I., “Ob avtomodelnykh resheniyakh zadachi Koshi dlya nelineinogo parabolicheskogo uravneniya nestatsionarnoi filtratsii gaza v poristoi srede”, Prikl. matem. i mekhan., 20:6 (1956), 761–763 | MR
[6] Demidov M. A., Mikhailov A. P., “Effekty lokalizatsii i obrazovaniya struktur pri szhatii konechnoi massy gaza v rezhime s obostreniem”, Prikl. matem. i mekhan., 50:1 (1986), 119–127 | MR | Zbl
[7] Vasilev A. N., Mikhailov A. P., Avtomodelnaya zadacha Koshi dlya uravneniya nelineinoi teploprovodnosti (postanovka zadachi i asimptoticheskii analiz reshenii), Preprint No 3, IMM RAN, M., 1994
[8] Kalashnikov S. A., “Zadacha Koshi v klasse rastuschikh funktsii dlya uravnenii tipa nestatsionarnoi filtratsii”, Vestn. MGU. Ser. matem., 1963, no. 6, 17–27 | MR | Zbl
[9] Benilan Ph., Crandall M. G., Pierre M., “Solutions of the porous medium eqation under optimal conditions on initial values”, Indiana Univ. Math. J., 33:1 (1984), 51–87 | DOI | MR | Zbl
[10] Brezis H., Friedman A., “Nonlinear parabolic equations involving measures as initial conditions”, J. Math. Pures et Appl., 62:1 (1983), 73–97 | MR | Zbl
[11] Bokalo H. M., “O zadache bez nachalnykh uslovii dlya nekotorykh klassov nelineinykh parabolicheskikh uravnenii”, Tr. seminara im. I. G. Petrovskogo, 14, M., 1989, 3–4
[12] Bokalo N. M., “Zadacha Fure s nelokalnymi granichnymi usloviyami dlya odnogo klassa nelineinykh uravnenii parabolicheskogo tipa”, Tr. seminara im. I. G. Petrovskogo, 19, M., 1996, 26–36 | MR | Zbl