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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 1, Pages 126–138
DOI: https://doi.org/10.33048/SIBJIM.2021.24.110
(Mi sjim1125)
 

This article is cited in 9 scientific papers (total in 9 papers)

Trajectory and global attractors for a modified Kelvin—Voigt model

A. S. Ustiuzhaninova, M. V. Turbin

Voronezh State University, Universitetskaya pl. 1, Voronezh 394018, Russia
Full-text PDF (606 kB) Citations (9)
References:
Abstract: We study the qualitative behavior of weak solutions to an autonomous modified Kelvin—Voigt model on the base of the theory of attractors for noninvariant trajectory spaces. For the model under consideration, we determine the trajectory space, introduce the notions of a trajectory attractor and a global attractor, and prove the existence of these attractors.
Keywords: trajectory attractor, global attractor, trajectory space, modified Kelvin—Voigt model, weak solution.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00051
Ministry of Science and Higher Education of the Russian Federation FZGU-2020-0035
The authors were supported by the Russian Foundation for Basic Research (project no. 20-01-00051) and the Ministry of Education and Science of Russia (project no. FZGU-2020-0035).
Received: 31.07.2020
Revised: 31.07.2020
Accepted: 15.10.2020
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 1, Pages 158–168
DOI: https://doi.org/10.1134/S1990478921010142
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. S. Ustiuzhaninova, M. V. Turbin, “Trajectory and global attractors for a modified Kelvin—Voigt model”, Sib. Zh. Ind. Mat., 24:1 (2021), 126–138; J. Appl. Industr. Math., 15:1 (2021), 158–168
Citation in format AMSBIB
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\by A.~S.~Ustiuzhaninova, M.~V.~Turbin
\paper Trajectory and global attractors for a modified Kelvin---Voigt model
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 1
\pages 126--138
\mathnet{http://mi.mathnet.ru/sjim1125}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.110}
\elib{https://elibrary.ru/item.asp?id=46091818}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 1
\pages 158--168
\crossref{https://doi.org/10.1134/S1990478921010142}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85104779407}
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  • https://www.mathnet.ru/eng/sjim/v24/i1/p126
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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