Abstract:
The existence and uniqueness of a strong solution to the initial-boundary value problem for a system of fluid dynamics equations that is a fractional analogue of the Voigt viscoelasticity model in the plane case are established. The rheological equation of this model involves fractional derivatives.
Key words:
viscoelastic medium, equations of motion, initial-boundary value problem, weak solution, Voigt viscoelasticity model, fractional derivative.
Citation:
V. G. Zvyagin, V. P. Orlov, “On regularity of weak solutions to a generalized Voigt model of viscoelasticity”, Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020), 1933–1949; Comput. Math. Math. Phys., 60:11 (2020), 1872–1888
\Bibitem{ZvyOrl20}
\by V.~G.~Zvyagin, V.~P.~Orlov
\paper On regularity of weak solutions to a generalized Voigt model of viscoelasticity
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2020
\vol 60
\issue 11
\pages 1933--1949
\mathnet{http://mi.mathnet.ru/zvmmf11162}
\crossref{https://doi.org/10.31857/S0044466920110162}
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\transl
\jour Comput. Math. Math. Phys.
\yr 2020
\vol 60
\issue 11
\pages 1872--1888
\crossref{https://doi.org/10.1134/S0965542520110159}
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Linking options:
https://www.mathnet.ru/eng/zvmmf11162
https://www.mathnet.ru/eng/zvmmf/v60/i11/p1933
This publication is cited in the following 6 articles:
V. G. Zvyagin, V. P. Orlov, “On weak solvability of fractional models of viscoelastic high order fluid”, Izv. Math., 88:1 (2024), 54–76
A. V. Zvyagin, E. I. Kostenko, “Zadacha suschestvovaniya upravleniya s obratnoi svyazyu dlya odnoi drobnoi modeli Foigta”, SMFN, 69, no. 4, Rossiiskii universitet druzhby narodov, M., 2023, 621–642
V. G. Zvyagin, V. P. Orlov, “On weak solvability of a flow problem for viscoelastic fluid with memory”, Comput. Math. Math. Phys., 63:11 (2023), 2090–2106
A. V. Zvyagin, E. I. Kostenko, “O sushchestvovanii upravleniya s obratnoy svyaz'yu dlya odnoy drobnoy modeli Foygta”, Differentsialnye uravneniya, 59:12 (2023), 1710
A. V. Zvyagin, E. I. Kostenko, “On the Existence of Feedback Control for One Fractional Voigt Model”, Diff Equat, 59:12 (2023), 1778
V. G. Zvyagin, E. I. Kostenko, “Investigation of the Weak Solvability of One Fractional Model with Infinite Memory”, Lobachevskii J Math, 44:3 (2023), 969
Citation in format AMSBIB
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