@article{ZVMMF_2015_55_5_a11,
author = {A. M. Blokhin and A. V. Yegitov and D. L. Tkachev},
title = {Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {850--875},
year = {2015},
volume = {55},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_5_a11/}
}
TY - JOUR AU - A. M. Blokhin AU - A. V. Yegitov AU - D. L. Tkachev TI - Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 850 EP - 875 VL - 55 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_5_a11/ LA - ru ID - ZVMMF_2015_55_5_a11 ER -
%0 Journal Article %A A. M. Blokhin %A A. V. Yegitov %A D. L. Tkachev %T Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2015 %P 850-875 %V 55 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_5_a11/ %G ru %F ZVMMF_2015_55_5_a11
A. M. Blokhin; A. V. Yegitov; D. L. Tkachev. Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 5, pp. 850-875. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_5_a11/
[1] Altukhov Yu. A., Golovicheva I. E., Pyshnograi G. V., “Molekulyarnyi podkhod v dinamike lineinykh polimerov: teoriya i chislennyi eksperiment”, Izvestiya RAN. Mekhan. zhidkosti i gaza, 2000, no. 1, 3–13
[2] Pyshnograi G. V., Pokrovskii V. N., Yanovskii Yu. G., Obraztsov I. F., Karnet Yu. N., “Opredelyayuschee uravnenie nelineinykh vyazkouprugikh (polimernykh) sred v nulevom priblizhenii po parametram molekulyarnoi teorii i sledstviya dlya sdviga i rastyazheniya”, Dokl. AN, 355:9 (1994), 612–615
[3] Volkov V. S., Vinogradov G. V., “Molecular theories of nonlinear viscoelasticity of polymers”, Rheol. Acta, 23:3 (1984), 231–237
[4] Altukhov Yu. A., Gusev A. S., Makarova M. A., Pyshnograi G. V., “Obobschenie zakona Puazeilya dlya ploskoparallelnogo techeniya vyazkouprugikh sred”, Mekhan. kompozitsionnykh materialov i konstruktsii, 13:4 (2007), 581–590
[5] Altukhov Yu. A., Pyshnograi G. V., “Vkhodnye techeniya v kanale $4:1$ tekuchikh lineinykh polimerov”, Mekhan. kompozitsionnykh materialov i konstruktsii, 7:1 (2001), 16–23 | MR | Zbl
[6] Altukhov Yu. A., Gusev A. S., Pyshnograi G. V., Vvedenie v mezoskopicheskuyu teoriyu tekuchikh polimernykh sistem, AltGPA, Barnaul, 2012
[7] Blokhin A. M., Bambaeva N. V., “Nakhozhdenie reshenii tipa Puazeilya i Kuetta dlya uravnenii neszhimaemoi vyazkouprugoi polimernoi zhidkosti”, Vestnik NGU, Seriya: matem. mekhan. informatika, 11:2 (2011), 3–14
[8] Wassner E., Schmidt M., Munstedt H., “Entry flow of a low-density-polyethylene melt into a slit die: An experimental study by laser — Doppler velocimetry”, J. Rheol., 43:6 (1999), 1339–1353
[9] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Nauka, M., 1978 | MR
[10] Godunov S. K., Uravneniya matematicheskoi fiziki, Nauka, M., 1979 | MR
[11] Vladimirov V. S., Uravneniya matematicheskoi fiziki, 5-e izd., Nauka, M., 1988 | MR
[12] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1979 | MR
[13] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988 | MR
[14] Fedoryuk M. V., Asimptotika, integraly i ryady, Nauka, M., 1987 | MR
[15] Nyuton I., Matematicheskie raboty, per. s latin., M.–L., 1937, 33–34
[16] Puiseux V. J., “Recherches sur les functions algébrigues”, J. de math. pures et appl., 15 (1850), 365–480
[17] Vainberg M. M., Trenogin V. A., Teoriya vetvleniya reshenii nelineinykh integralnykh uravnenii, Nauka, M., 1969 | MR