Geodesic
Asymptotic behavior of the solution of the convective diffusion problem with volumetric chemical reaction
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1600-1608 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2002_42_10_a11,
     author = {R. G. Akhmetov},
     title = {Asymptotic behavior of the solution of the convective diffusion problem with volumetric chemical reaction},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1600--1608},
     year = {2002},
     volume = {42},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a11/}
}
TY  - JOUR
AU  - R. G. Akhmetov
TI  - Asymptotic behavior of the solution of the convective diffusion problem with volumetric chemical reaction
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2002
SP  - 1600
EP  - 1608
VL  - 42
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a11/
LA  - ru
ID  - ZVMMF_2002_42_10_a11
ER  - 
%0 Journal Article
%A R. G. Akhmetov
%T Asymptotic behavior of the solution of the convective diffusion problem with volumetric chemical reaction
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2002
%P 1600-1608
%V 42
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a11/
%G ru
%F ZVMMF_2002_42_10_a11
R. G. Akhmetov. Asymptotic behavior of the solution of the convective diffusion problem with volumetric chemical reaction. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1600-1608. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a11/

[1] Levich V. G., Fiziko-khimicheskaya gidrodinamika, Fizmatgiz, M., 1959

[2] Acrivos A., Taylor T. D., “Heat and mass transfer from single spheres in Stokes flow”, Phys. Fluids, 5:4 (1962), 378–394 | DOI | MR

[3] Sih P. H., Newman J., “Mass transfer to the rear of a sphere in Stokes flow”, Internat. J. Heat Mass Transfer., 10:12 (1967), 1749–1756 | DOI

[4] Gupalo Yu. P., Polyanin A. D., Ryazantsev Yu. S., Massoteploobmen reagiruyuschikh chastits s potokom, Nauka, M., 1985

[5] Akhmetov R. G., “Metod soglasovaniya v zadache o diffuzii k chastitse”, Matem. zametki, 47:5 (1990), 144–146 | MR | Zbl

[6] Akhmetov R. G., “Asimptotika resheniya singulyarno vozmuschennoi zadachi dlya uravneniya diffuzii v okrestnosti sedlovoi tochki u predelnogo operatora”, Dokl. RAN, 362:6 (1998), 727–728 | MR | Zbl

[7] Akhmetov R. G., “Asimptotika resheniya zadachi konvektivnoi diffuzii okolo sfery”, Zh. vychisl. matem. i matem. fiz., 38:5 (1998), 801–806 | MR | Zbl

[8] Van-Daik M., Metody vozmuschenii v mekhanike zhidkosti, Mir, M., 1967

[9] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989 | MR

[10] Khappel Dzh., Brenner G., Gidrodinamika pri malykh chislakh Reinoldsa, Mir, M., 1976

[11] Krylov B. C., “Diffuzionnyi pogranichnyi sloi na poverkhnosti dvizhuscheisya kapli pri nalichii ob'emnoi khimicheskoi reaktsii”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1967, no. 1, 146–149

[12] Zhivotyagin A. F., “Vliyanie gomogennoi khimicheskoi reaktsii na raspredelenie kontsentratsii v diffuzionnom slede kapli”, Vestn. MGU. Ser. 1. Matem. i mekhan., 1980, no. 6, 73–78 | MR

[13] Akhmetov R. G., “Asimptotika resheniya odnoi zadachi konvektivnoi diffuzii s dvumya parametrami”, Tr. mezhdunar. konf. Kompleksnyi analiz, differents. ur-niya i smezhnye voprosy. “II” Differents. ur-niya, In-t matem. s vychisl. tsentrom RAN, Ufa, 2000, 10–15

[14] Akhmetov R. G., “Asimptotika resheniya kraevoi zadachi dlya odnogo uravneniya s malym parametrom”, Differents. ur-niya s malym parametrom, In-t matem. i mekhan. Ur. NTs AN SSSR, Sverdlovsk, 1984, 3–17

[15] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR

[16] Smirnova G. N., “Lineinye parabolicheskie uravneniya, vyrozhdayuschiesya na granitse oblasti”, Sibirskii matem. zhurnal, 4:2 (1963), 343–358 | MR | Zbl

[17] Sutton W. G. L., “On the equation of diffusion in a turbulent medium”, Proc. Roy. Soc. Ser. A, 182:988 (1943), 48–75 | DOI | MR | Zbl

[18] Oleinik O. A., Venttsel T. D., “Pervaya kraevaya zadacha i zadacha Koshi dlya kvazilineinykh uravnenii parabolicheskogo tipa”, Matem. sb., 41(83):1 (1957), 105–128 | MR | Zbl

[19] Akhmetov R. G., “Asimptoticheskoe razlozhenie resheniya zadachi o konvektivnoi diffuzii okolo osesimmetrichnoi kapli”, Zh. vychisl. matem. i matem. fiz., 40:10 (2000), 1541–1553 | MR | Zbl

[20] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1977 | MR | Zbl