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Weak Solvability of Termo-Voigt-\(\alpha\) Model

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Abstract

In this paper the existence in 2D and 3D of a weak solution to the initial-boundary value problem for the mathematical model describing a motion of linearly elastically retarded termo-Voigt-\(\alpha\) fluid is proved.

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Funding

The work of the first author was supported by the Russian Foundation for Basic Research (project no. 19–31–60014). The work of the second author was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. FZGU–2020–0035).

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Correspondence to A. V. Zvyagin or V. G. Zvyagin.

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(Submitted by T. K. Yuldashev)

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Zvyagin, A.V., Zvyagin, V.G. Weak Solvability of Termo-Voigt-\(\alpha\) Model. Lobachevskii J Math 42, 3793–3809 (2021). https://doi.org/10.1134/S1995080222030246

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  • DOI: https://doi.org/10.1134/S1995080222030246

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