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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 7, Pages 1371–1379
DOI: https://doi.org/10.7868/S004446691607005X (Mi zvmmf10433) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Mixed initial-boundary value problem for equations of motion of Kelvin–Voigt fluids

E. S. Baranovskii

Voronezh State University
Full-text PDF (157 kB) Citations (20)
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DOI: https://doi.org/10.7868/S004446691607005X
Abstract: The initial-boundary value problem for equations of motion of Kelvin–Voigt fluids with mixed boundary conditions is studied. The no-slip condition is used on some portion of the boundary, while the impermeability condition and the tangential component of the surface force field are specified on the rest of the boundary. The global-in-time existence of a weak solution is proved. It is shown that the solution is unique and depends continuously on the field of external forces, the field of surface forces, and initial data.
Key words: viscoelastic fluid, Kelvin–Voigt fluid, initial–boundary value problems, mixed boundary conditions, weak solutions, global solutions.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00182_мол_а
Received: 18.11.2014
Revised: 05.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 7, Pages 1363–1371
DOI: https://doi.org/10.1134/S0965542516070058
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: E. S. Baranovskii, “Mixed initial-boundary value problem for equations of motion of Kelvin–Voigt fluids”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1371–1379; Comput. Math. Math. Phys., 56:7 (2016), 1363–1371
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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