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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 11, Pages 1933–1949
DOI: https://doi.org/10.31857/S0044466920110162 (Mi zvmmf11162) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Mathematical physics

On regularity of weak solutions to a generalized Voigt model of viscoelasticity

V. G. Zvyagin, V. P. Orlov

Voronezh State University, Voronezh, 394018 Russia
Citations (6)
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DOI: https://doi.org/10.31857/S0044466920110162
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.
Funding agency Grant number
Russian Science Foundation 19-11-00146
This work was supported by the Russian Science Foundation, project no. 19-11-00146.
Received: 12.10.2019
Revised: 20.05.2020
Accepted: 07.07.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 11, Pages 1872–1888
DOI: https://doi.org/10.1134/S0965542520110159
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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