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
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A new rheological model describing flows of incompressible viscoelastic polymer fluid is studied. Lyapunov’s linear instability of the Poiseuille flow counterpart for the Navier–Stokes equations in a plane infinite channel is proven.
@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},
publisher = {mathdoc},
volume = {55},
number = {5},
year = {2015},
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 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_5_a11/ LA - ru ID - ZVMMF_2015_55_5_a11 ER -
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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/