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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@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