Geodesic
Asymptotic of a solution to the initial-boundary value problem for a generalized Burger's equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 1, pp. 152-165 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_1_a13,
     author = {V. A. Tupchiev},
     title = {Asymptotic of a solution to the initial-boundary value problem for a generalized {Burger's} equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {152--165},
     year = {2004},
     volume = {44},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_1_a13/}
}
TY  - JOUR
AU  - V. A. Tupchiev
TI  - Asymptotic of a solution to the initial-boundary value problem for a generalized Burger's equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 152
EP  - 165
VL  - 44
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_1_a13/
LA  - ru
ID  - ZVMMF_2004_44_1_a13
ER  - 
%0 Journal Article
%A V. A. Tupchiev
%T Asymptotic of a solution to the initial-boundary value problem for a generalized Burger's equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 152-165
%V 44
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_1_a13/
%G ru
%F ZVMMF_2004_44_1_a13
V. A. Tupchiev. Asymptotic of a solution to the initial-boundary value problem for a generalized Burger's equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 1, pp. 152-165. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_1_a13/

[1] Kruzhkov S. N., “Apriornaya otsenka dlya proizvodnoi resheniya parabolicheskogo uravneniya i nekotorye ee primeneniya”, Dokl. AN SSSR, 170:3 (1966), 501–504 | Zbl

[2] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR

[3] Hopf E., “The partial differential equation $u_t+uu_x=\mu u_{xx}$”, Communs Pure and Appl. Math., 3:3 (1950), 201–230 | DOI | MR | Zbl

[4] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978 | MR

[5] Bakhvalov N. S., “Ob asimptotike pri malykh $\varepsilon$ resheniya uravneniya $u_t+(\varphi(u))_x=\varepsilon u_{xx}$, sootvetstvuyuschego volne razrezheniya”, Zh. vychisl. matem. i matem. fiz., 6:3 (1966), 521–526

[6] Tupchiev V. A., “Ob asimptotike resheniya zadachi Koshi dlya uravneniya $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_x$, vyrozhdayuscheisya pri $\varepsilon=0$ v zadachu o raspade proizvolnogo razryva dlya sluchaya volny razrezheniya”, Zh. vychisl. matem. i matem. fiz., 12:3 (1972), 770–775

[7] Ilin A. M., Nesterova T. N., “Asimptotika resheniya zadachi Koshi dlya odnogo parabolicheskogo uravneniya s malym parametrom”, Dokl. AN SSSR, 240:1 (1978), 11–13 | MR

[8] Tani A., “On the first initial-boundary value problem of compressible viscous fluid motion”, Publ. Res. Just. Math. Sci., 13:1 (1977), 193–220 | DOI | MR

[9] Kazhikhov A. V., “O kraevykh zadachakh dlya uravnenii Byurgersa szhimaemoi zhidkosti v oblastyakh s podvizhnymi granitsami”, Dinamika sploshnoi sredy, 26, Novosibirsk, 1976, 60–76

[10] Sidorov Yu. V., Fedoryuk M. V., Shabunin M. I., Lektsii po teorii funktsii kompleksnogo peremennogo, Nauka, M., 1982 | MR

[11] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1966 | MR | Zbl