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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 7, Pages 1371–1379 (Mi zvmmf10433)  

This article is cited in 1 scientific paper (total in 1 paper)

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

E. S. Baranovskii

Voronezh State University

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, initialЦboundary value problems, mixed boundary conditions, weak solutions, global solutions.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-31-00182_мол_а


DOI: https://doi.org/10.7868/S004446691607005X

Full text: PDF file (157 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:7, 1363–1371

Bibliographic databases:

UDC: 519.634
Received: 18.11.2014
Revised: 05.07.2015

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. A. Artemov, Yu. N. Babkina, “Dirichlet boundary value problem for equations describing flows of a nonlinear viscoelastic fluid in a bounded domain”, Ufa Math. J., 13:3 (2021), 17–26  mathnet  crossref
  • ∆урнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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