Solvability of the transient analogue of the Lavrent'ev–Sedov–Keldysh problem for the ion-acoustic wave equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 12, pp. 1520-1525 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1997_37_12_a13,
     author = {A. B. Al'shin and Yu. D. Pletner and A. G. Sveshnikov},
     title = {Solvability of the transient analogue of the {Lavrent'ev{\textendash}Sedov{\textendash}Keldysh} problem for the ion-acoustic wave equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1520--1525},
     year = {1997},
     volume = {37},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a13/}
}
TY  - JOUR
AU  - A. B. Al'shin
AU  - Yu. D. Pletner
AU  - A. G. Sveshnikov
TI  - Solvability of the transient analogue of the Lavrent'ev–Sedov–Keldysh problem for the ion-acoustic wave equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1997
SP  - 1520
EP  - 1525
VL  - 37
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a13/
LA  - ru
ID  - ZVMMF_1997_37_12_a13
ER  - 
%0 Journal Article
%A A. B. Al'shin
%A Yu. D. Pletner
%A A. G. Sveshnikov
%T Solvability of the transient analogue of the Lavrent'ev–Sedov–Keldysh problem for the ion-acoustic wave equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1997
%P 1520-1525
%V 37
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a13/
%G ru
%F ZVMMF_1997_37_12_a13
A. B. Al'shin; Yu. D. Pletner; A. G. Sveshnikov. Solvability of the transient analogue of the Lavrent'ev–Sedov–Keldysh problem for the ion-acoustic wave equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 12, pp. 1520-1525. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_12_a13/

[1] Gabov S. A., “Matematicheskie osnovy lineinoi teorii nestatsionarnykh ionno-zvukovykh voln v nezamagnichennoi plazme”, Matem. modelirovanie, 1:12 (1989), 133–143 | MR

[2] Alshin A. B., Pletner Yu. D., “Yavnoe reshenie odnoi nachalno-kraevoi zadachi teorii ionno-zvukovykh voln v nezamagnichennoi plazme i ee asimptotika”, Zh. vychisl. matem. i matem. fiz., 34:8–9 (1994), 1323–1330 | MR

[3] Pletner Yu. D., “K teorii nestatsionarnykh ionno-zvukovykh voln v nezamagnichennoi plazme”, Zh. vychisl. matem. i matem. fiz., 35:2 (1995), 303–310 | MR

[4] Alshin A. B., Pletner Yu. D., Sveshnikov A. G., “Razreshimost odnoi vneshnei nachalno-kraevoi zadachi dlya uravneniya ionno-zvukovykh voln”, Zh. vychisl. matem. i matem. fiz., 36:10 (1996), 180–189 | MR

[5] Gabov S. A., Sveshnikov A. G., Lineinye zadachi teorii nestatsionarnykh vnutrennikh voln, Nauka, M., 1990 | MR

[6] Korpusov M. O., Pletner Yu. D., Sveshnikov A. G., “O razreshimosti odnoi nachalno-kraevoi zadachi dlya uravnenii vnutrennikh voln”, Zh. vychisl. matem. i matem. fiz., 37:5 (1997), 617–620 | MR | Zbl

[7] Ikezi X., “Eksperimentalnoe issledovanie solitonov v plazme”, Solitony v deistvii, Nauka, M., 1981

[8] Gabov S. A., “Uglovoi potentsial i ego nekotorye prilozheniya”, Matem. sb., 103:4 (1977), 490–504 | MR | Zbl

[9] Pletner Yu. D., “O svoistvakh reshenii nekotorykh uravnenii v chastnykh proizvodnykh”, Zh. vychisl. matem. i matem. fiz., 32:5 (1992), 742–757 | MR | Zbl

[10] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Fizmatgiz, M., 1962

[11] Krutitskii P. A., “Zadacha Dirikhle dlya uravneniya Gelmgoltsa vne razrezov na ploskosti”, Zh. vychisl. matem. i matem. fiz., 34:8–9 (1994), 1237–1258 | MR | Zbl