@article{ZVMMF_2001_41_2_a12,
author = {V. V. Prut},
title = {Self-similar isentropic compression of matter},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {327--341},
year = {2001},
volume = {41},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_2_a12/}
}
V. V. Prut. Self-similar isentropic compression of matter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 2, pp. 327-341. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_2_a12/
[1] Stanyukovich K. P., Neustanovivshiesya dvizheniya sploshnoi sredy, Nauka, M., 1971 | MR
[2] Belotserkovskii O. M., Demchenko V. V., Kosarev V. I., Kholodov A. S., “Chislennoe modelirovanie nekotorykh zadach lazernogo szhatiya obolochek”, Zh. vychisl. matem. i matem. fiz., 18:2 (1978), 420–444
[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] Zmitrenko N. V., Kurdyumov S. P., “$N$- i $S$-rezhimy avtomodelnogo szhatiya konechnoi massy plazmy i osobennosti rezhimov s obostreniem”, Prikl. mekhan. i tekhn. fiz., 1977, no. 1, 3–22
[5] Anufrieva M. A., Mikhailov A. P., “Lokalizatsiya gazodinamicheskikh protsessov pri izentropicheskom szhatii gaza v rezhime s obostreniem”, Differents. ur-niya, 19:3 (1983), 483–491 | MR | Zbl
[6] Sidorov A. F., “Bezudarnoe szhatie barotropnogo gaza”, Prikl. matem. i mekhan., 55:5 (1991), 779 | MR | Zbl
[7] Nuckolls J., Wood L., Thiessen A., Zimmerman G., “Laser compression of matter to super-high densities”, Nature, 239:5368 (1972), 239–245 | DOI
[8] Clarke J. S., Fisher H. N., Mason R. J., “Laser — driven implosion of spherical DT targets to thermonuclear burn conditions”, Phys. Rev. Letts., 30:3 (1973), 89–93 | DOI
[9] Prokhorov A. M., Anisimov S. I., Pashinin P. P., “Lazernyi termoyadernyi sintez”, Uspekhi fiz. nauk, 119:3 (1976), 401–422
[10] Kidder R. E., “Theory of homogeneous isentropic compression and its application to laser fusion”, Nucl. Fusion, 14 (1974), 53–60 | DOI
[11] Basko M. M., “On the scaling of the energy gain of ICF targets”, Nucl. Fusion, 35:1 (1995), 87–99 | DOI
[12] Demchenko B. B., “Sravnitelnoe issledovanie nekotorykh gidrodinamicheskikh protsessov szhatiya”, Zh. vychisl. matem. i matem. fiz., 19:2 (1979), 540–545
[13] Nikolskii A. A., “Invariantnoe preobrazovanie uravnenii dvizheniya idealnogo odnoatomnogo gaza i novye klassy ikh tochnykh reshenii”, Prikl. matem. i mekhan., 27 (1963), 496–508
[14] Ovsyannikov L. V., Gruppovoi analiz differentsialnykh uravnenii, Nauka, M., 1978 | MR
[15] Sedov L. I., Metody podobiya i razmernosti v mekhanike, Nauka, M., 1977 | MR
[16] Guderley G., “Starke kugelige und zylindrische Verdichtungsstosse in der Nahe des Kugelmittelpunktes bzw. der Zylinderachse”, Luftfahrtforschung, 19:9 (1942), 302–312 | MR
[17] Hunter C., “On the collapse of an empty cavity in water”, J. Fluid Mech., 8 (1960), 241–263 | DOI | Zbl
[18] Chernousko F. L., “Skhodyaschiesya udarnye volny v gaze peremennoi plotnosti”, Prikl. matem. i mekhan., 24 (1960), 885–896
[19] Zeldovich Ya. B., Raizer Yu. P., Fizika udarnykh voln i vysokotemperaturnykh gidrodinamicheskikh yavlenii, Nauka, M., 1966
[20] Brushlinskii K. V., Kazhdan Ya. M., “Ob avtomodelnykh resheniyakh nekotorykh zadach gazovoi dinamiki”, Uspekhi matem. nauk, 18:2(110) (1963), 3–23 | MR
[21] Barenblatt G. I., Podobie, avtomodelnost, promezhutochnaya asimptotika, Gidrometeoizdat, L., 1982 | MR
[22] Zhdanov S. K., Trubnikov B. A., “Optimalnoe szhatie plazmy v $z$- i $\theta$-pinche”, Pisma v ZhETF, 21:6 (1975), 371–374
[23] Kazhdan Ya. M., “K voprosu ob adiabaticheskom szhatii gaza pod deistviem sfericheskogo porshnya”, Prikl. mekhan. i tekhn. fiz., 1977, no. 1, 23–30
[24] Zababakhin I. E., Simonenko V. A., “Sfericheskaya tsentrirovannaya volna szhatiya”, Prikl. matem. i mekhan., 42:3 (1978), 573–576 | Zbl
[25] Anisimov S. I., Inogamov N. A., “Singulyarnye avtomodelnye rezhimy sverkhplotnogo szhatiya lazernykh mishenei”, Prikl. mekhan. i tekhn. fiz., 1980, no. 4, 20–24
[26] Svalov A. M., “K voprosu o szhatii sfericheskikh mishenei”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1982, no. 3, 171–175
[27] Kraiko A. N., Tillyaeva N. I., “Avtomodelnoe szhatie idealnogo gaza ploskim, tsilindricheskim ili sfericheskim porshnem”, Teplofiz. vysokikh t-r, 36:1 (1998), 120–128
[28] Avrorin E. N., Vodolaga B. K., Simonenko V. A., Fortov V. E., “Moschnye udarnye volny i ekstremalnye sostoyaniya veschestva”, Uspekhi fiz. nauk, 163:5 (1993), 1–34
[29] Altshuler L. V., Brusnikin S. U., Kuzmenkov E. A., “Izotermy i funktsii Gryunaizena 25 metallov”, Prikl. mekhan. i tekhn. fiz., 1987, no. 1, 134–145 | MR