@article{ZVMMF_2016_56_7_a13,
author = {A. G. Kulikovskii and A. P. Chugainova and V. A. Shargatov},
title = {Uniqueness of self-similar solutions to the {Riemann} problem for the {Hopf} equation with complex nonlinearity},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1363--1370},
year = {2016},
volume = {56},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a13/}
}
TY - JOUR AU - A. G. Kulikovskii AU - A. P. Chugainova AU - V. A. Shargatov TI - Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 1363 EP - 1370 VL - 56 IS - 7 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a13/ LA - ru ID - ZVMMF_2016_56_7_a13 ER -
%0 Journal Article %A A. G. Kulikovskii %A A. P. Chugainova %A V. A. Shargatov %T Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 1363-1370 %V 56 %N 7 %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a13/ %G ru %F ZVMMF_2016_56_7_a13
A. G. Kulikovskii; A. P. Chugainova; V. A. Shargatov. Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1363-1370. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a13/
[1] Kulikovskii A. G., “O vozmozhnom vliyanii kolebanii v strukture razryva na mnozhestvo dopustimykh razryvov”, Dokl. AN SSSR, 275:6 (1984), 1349–1352 | MR
[2] Kulikovskii A. G., Pogorelov N. V., Semenov A. Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2012
[3] Kulikovskii A. G., Chugainova A. P., “Modelirovanie vliyaniya melkomasshtabnykh dispersionnykh protsessov v sploshnoi srede na formirovanie krupnomasshtabnykh yavlenii”, Zh. vychisl. matem. matem. fiz., 44:6 (2004), 1119–1126 | MR | Zbl
[4] Kulikovskii A. G., Chugainova A. P., “Klassicheskie i neklassicheskie razryvy v resheniyakh uravnenii nelineinoi teorii uprugosti”, Uspekhi matem. nauk, 380:63.2 (2008), 85–152 | DOI | MR
[5] Chugainova A. P., “Nestatsionarnye resheniya obobschennogo uravneniya Kortevega–de Vriza–Byurgersa”, Tr. MIAN, 281, MAIK, M., 2013, 215–223 | Zbl
[6] Chugainova A. P., Shargatov V. A., “Ustoichivost nestatsionarnykh reshenii obobschennogo uravneniya Kortevega–de Briza–Byurgersa”, Zh. vychisl. matem. i matem. fiz., 55:2 (2015), 251–263 | MR | Zbl
[7] Ilichev A. T., Chugainova A. P., Shargatov V. A., “Spektralnaya ustoichivost osobykh razryvov”, Dokl. AN. Matem., 462:5 (2015), 512–516 | DOI | Zbl
[8] Chugainova A. P., Shargatov V. A., “Ustoichivost struktury razryvov, opisyvaemykh obobschennym uravneniem Kortevega–de Vriza–Byurgersa”, Zh. vychisl. matem. i matem. fiz., 56:2 (2016), 259–274 | DOI | MR | Zbl
[9] Levin V. A., Markov V. V., Osinkin S. F., “Modelirovanie initsiirovaniya detonatsii v goryuchei smesi gazov elektricheskim razryadom”, Khim. fiz., 3:4 (1984), 611–613
[10] Levin V. A., Markov V. V., Osinkin S. F., “Vosstanovlenie detonatsii s pomoschyu razrushayuscheisya obolochki”, Dokl. AN, 352:1 (1997), 333–335
[11] Landau L. D., Lifshits E. M., Gidrodinamika, Nauka. Glavnaya redaktsiya fiziko-matematicheskoi literatury, M., 1986, 736 pp.
[12] Konyukhov A. V., Likhachev A. P., Oparin A. M., Anisimov S. I., Fortov V. E., “Numerical modeling of shock-wave instability in termodynamically nonideal media”, J. Experimental Phys., 98:4 (2004), 811–819
[13] Oleinik O. A., “O edinstvennosti i ustoichivosti obobschennogo resheniya zadachi Koshi dlya kvazilineinogo uravneniya”, Uspekhi matem. nauk, 14:2(86) (1959), 159–164 | MR
[14] Kulikovskii A. G., “O poverkhnostyakh razryva, razdelyayuschikh idealnye sredy s razlichnymi svoistvami: Volny rekombinatsii”, Prikl. matem. i mekhan., 32:6 (1968), 1125–1131 | Zbl