Attractors for weak solution of a regularized problem of viscoelastic fluids motion with memory in non-autonomous case
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2018), pp. 73-78
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We study of existence of attractors for weak solutions of the regularized problem for viscoelastic medium motion with memory in non-autonomous case. For this we apply the theory of trajectory attractors for non-invariant trajectory spaces and prove the existence of trajectory attractor, global attractor, uniform trajectory attractor and uniform global attractor for this problem.
Keywords:
regularized model, viscoelastic medium with memory, weak solution, trajectory attractor, global attractor, uniform trajectory attractor, uniform global attractor, existence theorem.
@article{IVM_2018_7_a6,
author = {A. S. Boldyrev and V. G. Zvyagin},
title = {Attractors for weak solution of a regularized problem of viscoelastic fluids motion with memory in non-autonomous case},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {73--78},
publisher = {mathdoc},
number = {7},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2018_7_a6/}
}
TY - JOUR AU - A. S. Boldyrev AU - V. G. Zvyagin TI - Attractors for weak solution of a regularized problem of viscoelastic fluids motion with memory in non-autonomous case JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2018 SP - 73 EP - 78 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2018_7_a6/ LA - ru ID - IVM_2018_7_a6 ER -
%0 Journal Article %A A. S. Boldyrev %A V. G. Zvyagin %T Attractors for weak solution of a regularized problem of viscoelastic fluids motion with memory in non-autonomous case %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2018 %P 73-78 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2018_7_a6/ %G ru %F IVM_2018_7_a6
A. S. Boldyrev; V. G. Zvyagin. Attractors for weak solution of a regularized problem of viscoelastic fluids motion with memory in non-autonomous case. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2018), pp. 73-78. http://geodesic.mathdoc.fr/item/IVM_2018_7_a6/