@article{ZVMMF_2006_46_5_a5,
author = {R. G. Akhmetov},
title = {Asymptotic behavior of the solution to a~convection-diffusion problem with bulk chemical reaction in the wake of a~particle},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {834--847},
year = {2006},
volume = {46},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a5/}
}
TY - JOUR AU - R. G. Akhmetov TI - Asymptotic behavior of the solution to a convection-diffusion problem with bulk chemical reaction in the wake of a particle JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 834 EP - 847 VL - 46 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a5/ LA - ru ID - ZVMMF_2006_46_5_a5 ER -
%0 Journal Article %A R. G. Akhmetov %T Asymptotic behavior of the solution to a convection-diffusion problem with bulk chemical reaction in the wake of a particle %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2006 %P 834-847 %V 46 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a5/ %G ru %F ZVMMF_2006_46_5_a5
R. G. Akhmetov. Asymptotic behavior of the solution to a convection-diffusion problem with bulk chemical reaction in the wake of a particle. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 5, pp. 834-847. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a5/
[1] Levin V. G., Fiziko-khimicheskaya gidrodinamika, Fizmatgiz, M., 1959
[2] Astarita Dzh., Massoperedacha s khimicheskoi reaktsiei, Khimiya, L., 1971
[3] Dankverts P. V., Gazozhidkostnye reaktsii, Khimiya, M., 1973
[4] Frank-Kamenetskii D. A., Diffuziya i teploperedacha v khimicheskoi kinetike, Nauka, M., 1967
[5] Acrivos A., Taylor T. D., “Heat and mass transfer from single spheres in Stokes flow”, Phys. Fluids, 5:4 (1962), 378–394 | DOI | MR
[6] 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
[7] 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
[8] 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
[9] Gupalo Yu. P., Polyanin A. D., Ryazantsev Yu. S., Massoteploobmen reagiruyuschikh chastits s potokom, Nauka, M., 1985
[10] Akhmetov R. G., “Metod soglasovaniya v zadache o diffuzii k chastitse”, Matem. zametki, 47:5 (1990), 144–146 | MR | Zbl
[11] Akhmetov R. T., “Asimptotika resheniya singulyarno vozmuschennoi zadachi dlya uravneniya diffuzii v okrestnosti sedlovoi tochki u predelnogo operatora”, Dokl. RAN, 362:6 (1998), 727–728 | MR | Zbl
[12] Akhmetov R. G., “Asimptotika resheniya zadachi konvektivnoi diffuzii okolo sfery”, Zh. vychisl. matem. i matem. fiz., 38:5 (1998), 801–806 | MR | Zbl
[13] Van-Daik M., Metody vozmuschenii v mekhanike zhidkosti, Mir, M., 1967
[14] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989 | MR
[15] Khappel Dzh., Brenner G., Gidrodinamika pri malykh chislakh Reinoldca, Mir, M., 1976
[16] Akhmetov R. G., “Asimptotika resheniya zadachi o konvektivnoi diffuzii s ob'emnoi khimicheskoi reaktsiei”, Zh. vychisl. matem. i matem. fiz., 42:10 (2002), 1600–1608 | MR | Zbl
[17] Smirnova G. N., “Lineinye parabolicheskie uravneniya, vyrozhdayuschiesya na granitse oblasti”, Sibirskii matem. zhurnal, 4:2 (1963), 343–358 | MR | Zbl
[18] Akhmetov R. G., “Asimptotika resheniya odnoi zadachi konvektivnoi diffuzii s dvumya parametrami”, Differents. ur-niya, Tr. mezhdunar. konf. “Kompleksnyi analiz, differents. ur-niya i smezhnye voprosy”. II, In-t matem. s vychisl. tsentrom RAN, Ufa, 2000, 10–15
[19] Akhmetov R. G., “Asimptotika resheniya kraevoi zadachi dlya odnogo uravneniya s malym parametrom”, Differents. ur-niya s malym parametrom, In-t matem. i mekhan. UrNTs AN SSSR, Sverdlovsk, 1984, 3–17
[20] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1976 | MR
[21] 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
[22] Ilin A. M., “Asimptotika resheniya kraevoi zadachi dlya uravneniya Puassona vne tsilindra i vne polutsilindra”, Matem. sb., 118:2 (1982), 184–202 | MR
[23] Akhmetov R. G., “Asimptotika resheniya kraevoi zadachi dlya odnogo uravneniya diffuzii v poluploskosti”, Differents. ur-niya, 19:2 (1983), 287–194 | MR
[24] Akhmetov R. G., Asimptotika resheniya kraevoi zadachi dlya ellipticheskogo uravneniya v poluploskosti, Dep. V VINITI 16.06.86,4416-V 86, 19 pp.
[25] Rakitskii Yu. V., Ustinov S. M., Chernorutskii I. G., Chislennye metody resheniya zhestkikh sistem, Nauka, M., 1979 | MR
[26] Babenko K. I., Osnovy chislennogo analiza, NITs “Regulyarnaya i khaotich. dinamika”, M., Izhevsk, 2002
[27] Akhmetov V. R., Akhmetov R. G., Zagidullina A. B., “Suschestvovanie i asimptotiki reshenii odnogo klassa kvazilineinykh obyknovennykh differentsialnykh uravnenii vtorogo poryadka”, Differents. ur-niya, 41(46) (2005), 723–729 | MR | Zbl