Geodesic
Renormalization in the Causy problem with two small parameters
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 79-84 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Cauchy problem for a quasi-linear parabolic equation with a small parameter at a higher derivative is considered. The initial function contains another small parameter. The asymptotics of the solution in by parameter problem is constructed using the renormalization method.
Keywords: Cauchy problem, renormalization.
Mots-clés : parabolic equation 
@article{VCHGU_2011_14_a6,
     author = {S. V. Zakharov},
     title = {Renormalization in the {Causy} problem with two small parameters},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {79--84},
     year = {2011},
     number = {14},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a6/}
}
TY  - JOUR
AU  - S. V. Zakharov
TI  - Renormalization in the Causy problem with two small parameters
JO  - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
PY  - 2011
SP  - 79
EP  - 84
IS  - 14
UR  - http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a6/
LA  - ru
ID  - VCHGU_2011_14_a6
ER  - 
%0 Journal Article
%A S. V. Zakharov
%T Renormalization in the Causy problem with two small parameters
%J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
%D 2011
%P 79-84
%N 14
%U http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a6/
%G ru
%F VCHGU_2011_14_a6
S. V. Zakharov. Renormalization in the Causy problem with two small parameters. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 79-84. http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a6/

[1] S. V. Zakharov, “Zadacha Koshi dlya kvazilineinogo parabolicheskogo uravneniya s dvumya malymi parametrami”, Dokl. RAN, 422:6 (2008), 733–734

[2] E. V. Teodorovich, “Metod renormalizatsionnoi gruppy v zadachakh mekhaniki”, Priklad. matematika i mekhanika, 68:2 (2004), 335–367

[3] A. M. Ilin, Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989

[4] V. M. Babich, “Anzatts Adamara, ego analogi, obobscheniya, prilozheniya”, Algebra i analiz, 3:5 (1991), 1–37

[5] A. M. Ilin, O. A. Oleinik, “Asimptoticheskoe povedenie reshenii zadachi Koshi dlya nekotorykh kvazilineinykh uravnenii pri bolshom znachenii vremeni”, Mat. sb., 51:2 (1960), 191–216