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Matematicheskie Zametki, 2022, Volume 111, Issue 1, Pages 54–66
DOI: https://doi.org/10.4213/mzm13231 (Mi mzm13231) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere

S. V. Zelikabc, A. A. Ilyincd, A. G. Kostyankoe

a University of Surrey
b Lanzhou University
c Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
d University of Science and Technology "Sirius", Sochi
e Imperial College London
Full-text PDF (547 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13231
Abstract: We prove the existence of a global attractor of a regularized Euler–Bardina system with dissipation on the two-dimensional sphere and in arbitrary domains on the sphere. Explicit estimates for the fractal dimension of the attractor in terms of its physical parameters are obtained.
Keywords: Euler's system, Bardina's model, attractors, fractal dimension, spectral inequalities on the sphere.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1623
Leverhulme Trust RPG-2021-072
This paper was supported by the Moscow Center for Fundamental and Applied Mathematics under agreement no. 075-15-2019-1623 with the Ministry of Science and Higher Education of the Russian Federation. The third author was supported by the Leverhulme grant No. RPG-2021-072 (United Kingdom).
Received: 21.07.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 1, Pages 47–57
DOI: https://doi.org/10.1134/S0001434622010060
Bibliographic databases:
Document Type: Article
UDC: 517.957+517.984
Language: Russian
Citation: S. V. Zelik, A. A. Ilyin, A. G. Kostyanko, “Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere”, Mat. Zametki, 111:1 (2022), 54–66; Math. Notes, 111:1 (2022), 47–57
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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