Pullback attractors for the model of motion of dilute aqueous polymer solutions
Izvestiya. Mathematics , Tome 79 (2015) no. 4, pp. 645-667
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We study the qualitative dynamics of weak solutions in the non-autonomous
model of motion of dilute aqueous polymer solutions using the theory
of pullback attractors of trajectory spaces. We establish the existence
of weak solutions for this model, define a family of trajectory spaces,
introduce the notions of a trajectory pullback attractor and a minimal
pullback attractor and prove the existence of these attractors.
Keywords:
pullback attractors, trajectory space, weak solutions, existence theorems.
Mots-clés : dilute aqueous polymer solutions
Mots-clés : dilute aqueous polymer solutions
@article{IM2_2015_79_4_a0,
author = {V. G. Zvyagin and S. K. Kondrat'ev},
title = {Pullback attractors for the model of motion of dilute aqueous polymer solutions},
journal = {Izvestiya. Mathematics },
pages = {645--667},
publisher = {mathdoc},
volume = {79},
number = {4},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2015_79_4_a0/}
}
TY - JOUR AU - V. G. Zvyagin AU - S. K. Kondrat'ev TI - Pullback attractors for the model of motion of dilute aqueous polymer solutions JO - Izvestiya. Mathematics PY - 2015 SP - 645 EP - 667 VL - 79 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_2015_79_4_a0/ LA - en ID - IM2_2015_79_4_a0 ER -
V. G. Zvyagin; S. K. Kondrat'ev. Pullback attractors for the model of motion of dilute aqueous polymer solutions. Izvestiya. Mathematics , Tome 79 (2015) no. 4, pp. 645-667. http://geodesic.mathdoc.fr/item/IM2_2015_79_4_a0/