Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SJIM_2004_7_3_a12, author = {R. K. Romanovskii and I. N. Stratilatova}, title = {Solution of a~one-dimensional single-phase hyperbolic {Stefan} problem by the method of boundary integral equations}, journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki}, pages = {119--131}, publisher = {mathdoc}, volume = {7}, number = {3}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a12/} }
TY - JOUR AU - R. K. Romanovskii AU - I. N. Stratilatova TI - Solution of a~one-dimensional single-phase hyperbolic Stefan problem by the method of boundary integral equations JO - Sibirskij žurnal industrialʹnoj matematiki PY - 2004 SP - 119 EP - 131 VL - 7 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a12/ LA - ru ID - SJIM_2004_7_3_a12 ER -
%0 Journal Article %A R. K. Romanovskii %A I. N. Stratilatova %T Solution of a~one-dimensional single-phase hyperbolic Stefan problem by the method of boundary integral equations %J Sibirskij žurnal industrialʹnoj matematiki %D 2004 %P 119-131 %V 7 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a12/ %G ru %F SJIM_2004_7_3_a12
R. K. Romanovskii; I. N. Stratilatova. Solution of a~one-dimensional single-phase hyperbolic Stefan problem by the method of boundary integral equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 3, pp. 119-131. http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a12/
[1] Romanovskii R. K., “O matritsakh Rimana pervogo i vtorogo roda”, Dokl. AN SSSR, 267:3 (1982), 577–580 | MR
[2] Romanovskii R. K., “O matritsakh Rimana pervogo i vtorogo roda”, Mat. sb., 127:4 (1985), 494–501 | MR | Zbl
[3] Romanovskii R. K., “Eksponentsialno rasscheplyaemye giperbolicheskie sistemy s dvumya nezavisimymi peremennymi”, Mat. sb., 133:3 (1987), 341–355 | MR | Zbl
[4] Romanovskii R. K., “Ob operatore monodromii giperbolicheskoi sistemy s periodicheskimi koeffitsientami”, Primenenie metodov funktsionalnogo analiza v zadachakh matematicheskoi fiziki, Izd-vo IM AN USSR, Kiev, 1987, 47–52 | MR
[5] Romanovskii R. K., “Usrednenie giperbolicheskikh uravnenii”, Dokl. AN SSSR, 306:2 (1989), 286–289 | MR | Zbl
[6] Vorobeva E. V., Romanovskii R. K., “Metod kharakteristik dlya giperbolicheskikh kraevykh zadach na ploskosti”, Sib. mat. zhurn., 41:3 (2000), 531–540 | MR
[7] Godunov S. K., Uravneniya matematicheskoi fiziki, Nauka, M., 1979 | MR | Zbl
[8] Eltysheva N. A., “O kachestvennykh svoistvakh reshenii nekotorykh giperbolicheskikh sistem na ploskosti”, Mat. sb., 135:2 (1988), 186–209 | MR | Zbl
[9] Lavrentev M. M. (ml.), Lyulko N. A., “Povyshenie gladkosti reshenii nekotorykh giperbolicheskikh zadach”, Sib. mat. zhurn., 38:1 (1997), 109–124 | MR
[10] Danilyuk I. I., “O zadache Stefana”, Uspekhi mat. nauk, 40:5(245) (1985), 133–185 | MR | Zbl
[11] Kartashov E. M., “Analiticheskie metody resheniya kraevykh zadach nestatsionarnoi teploprovodnosti v oblastyakh s dvizhuschimisya granitsami”, Izv. RAN. Ser. Energetika, 1999, no. 5, 3–34
[12] Lykov A. V., “Primenenie metodov termodinamiki neobratimykh protsessov k issledovaniyu teplo- i massoobmena”, Inzh.-fiz. zhurn., 9:3 (1965), 287–304
[13] Sobolev S. L., “Lokalno-neravnovesnye modeli protsessov perenosa”, Uspekhi fiz. nauk, 167:10 (1997), 1095–1106 | DOI
[14] Korneev S. A., “Giperbolicheskie uravneniya teploprovodnosti”, Izv. RAN. Ser. Energetika, 2001, no. 4, 117–125
[15] Burakhanov B. M., Lyutikova E. N., Medin S. A., Giperbolicheskaya teploprovodnost i vtoroi zakon termodinamiki, Preprint OIVTRAN; No 462, M., 2002, 28 pp.
[16] Bubnov V. A., Solovev I. A., “Ob ispolzovanii giperbolicheskogo uravneniya v teorii teploprovodnosti”, Inzh.-fiz. zhurn., 33:6 (1977), 1131–1135 | MR
[17] Solomon A. D., Alexiades V., Wilson D. G., Drake S., “On the formulation of hyperbolic Stefan problem”, Quar. Appl. Math., 43:3 (1985), 295–304 | MR | Zbl
[18] Greenberg S. M., “A hyperbolic heat transfer problem with phase changes”, IMA J. Appl. Math., 38:1 (1987), 1–21 | DOI | MR | Zbl
[19] Showalter R. E., Walkington N. J., “A hyperbolic Stefan problem”, Quar. Appl. Math., 45:4 (1987), 769–781 | MR | Zbl
[20] Takhirov Zh. O., “Dvukhfaznaya zadacha s neizvestnymi granitsami dlya giperbolicheskoi sistemy uravnenii pervogo poryadka”, Uzb. mat. zhurn., 1991, no. 6, 48–56 | MR
[21] Dzhuraev T. D., Takhirov Zh. O., “Giperbolicheskaya zadacha Stefana”, Differents. uravneniya, 30:5 (1994), 821–831 | MR | Zbl
[22] Sedov L. I., Mekhanika sploshnoi sredy, T. 1, Nauka, M., 1979 | Zbl
[23] Sobolev S. L., “Protsessy perenosa i beguschie volny”, Uspekhi fiz. nauk, 161:3 (1991), 5–29 | MR
[24] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1977