@article{VNGU_2010_10_1_a5,
author = {S. B. Medvedev},
title = {Conservation {Laws} of {Zero} {Order} for {One-Dimensional} {Hydrodynamic} {Equations} with {External} {Force}},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {70--88},
year = {2010},
volume = {10},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2010_10_1_a5/}
}
TY - JOUR AU - S. B. Medvedev TI - Conservation Laws of Zero Order for One-Dimensional Hydrodynamic Equations with External Force JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2010 SP - 70 EP - 88 VL - 10 IS - 1 UR - http://geodesic.mathdoc.fr/item/VNGU_2010_10_1_a5/ LA - ru ID - VNGU_2010_10_1_a5 ER -
S. B. Medvedev. Conservation Laws of Zero Order for One-Dimensional Hydrodynamic Equations with External Force. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 1, pp. 70-88. http://geodesic.mathdoc.fr/item/VNGU_2010_10_1_a5/
[1] Voltsinger N. E., Klevannyi K. A., Pelinovskii E. N., Dlinnovolnovaya dinamika pribrezhnoi zony, Gidrometeoizdat, L., 1989
[2] Zhdanov S. K., Trubnikov B. A., Kvazigazovye neustoichivye sredy, Nauka, M., 1991 | Zbl
[3] Ibragimov N. Kh., Gruppy preobrazovanii v matematicheskoi fizike, Nauka, M., 1983 | MR
[4] Medvedev S. B., “Zakony sokhraneniya nulevogo poryadka dlya odnomernykh uravnenii vraschayuscheisya melkoi vody”, Vestn. Novosib. gos. un-ta. Seriya: Matematika, mekhanika, informatika, 8:1 (2008), 48–59
[5] Ovsyannikov L. V., Gruppovoi analiz differentsialnykh uravnenii, Nauka, M., 1978 | MR
[6] Primenenie teoretiko-gruppovykh metodov v gidrodinamike, Nauka, M., 1994 | MR
[7] Simmetrii i zakony sokhraneniya matematicheskoi fiziki, Faktorial, M., 1997
[8] Stupachenko E. V., Losev S. A., Osipov A. I., Relaksatsionnye protsessy v udarnykh volnakh, Nauka, M., 1965
[9] Teoriya solitonov: metod obratnoi zadachi, Nauka, M., 1980 | MR
[10] Fedoryuk M. V., Obyknovennye differentsialnye uravneniya, Nauka, M., 1985 | MR
[11] Chirkunov Yu. A., Gruppovoi analiz lineinykh i kvazilineinykh differentsialnykh uravnenii, NGUEU, Novosibirsk, 2007
[12] Shmyglevskii Yu. D., Analiticheskie issledovaniya dinamiki gaza i zhidkosti, Editorial URSS, M., 1999
[13] Shepherd T. G., “Symmetries, Conservation Laws, and Hamiltonian Structure in Geophysical Fluid Dynamics”, Adv. Geophys., 32 (1990), 287–338 | DOI