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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 3, Pages 16–23
(Mi sjim735)
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This article is cited in 11 scientific papers (total in 11 papers)
An inhomogeneous boundary value problem for the stationary equations of the Jeffreys model for the motion of a viscoelastic medium
E. S. Baranovskiĭ Voronezh State University, Voronezh, Russia
Abstract:
We consider an inhomogeneous Dirichlet problem for the stationary equations of the motion of a viscoelastic medium of the Jeffreys type. We prove the solvability of this problem in a generalized (weak) formulation and establish the sequential weak closedness of the solution set.
Keywords:
non-Newtonian fluid dynamics, Jeffreys model, viscoelastic medium, inhomogeneous boundary value problems, weak solution.
Received: 26.12.2011
Citation:
E. S. Baranovskiǐ, “An inhomogeneous boundary value problem for the stationary equations of the Jeffreys model for the motion of a viscoelastic medium”, Sib. Zh. Ind. Mat., 15:3 (2012), 16–23; J. Appl. Industr. Math., 7:1 (2013), 22–28
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https://www.mathnet.ru/eng/sjim735 https://www.mathnet.ru/eng/sjim/v15/i3/p16
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