Geodesic
On weak solutions to evolution equations of viscoelastic fluid flows
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 2, pp. 21-32

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We study the system of nonlinear equations describing unsteady flows of a viscoelastic fluid of Oldroyd type in a bounded three-dimensional domain with mixed boundary conditions. On one part of the boundary, the Navier slip condition is given, while on the other one, the no-slip condition is used. We prove the theorem on the existence, uniqueness, and energy estimates for weak solutions.
Keywords: initial boundary-value problem, weak solution, viscoelastic fluid, Oldroyd model, Navier slip boundary condition. 
E. S. Baranovskii. On weak solutions to evolution equations of viscoelastic fluid flows. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 2, pp. 21-32. http://geodesic.mathdoc.fr/item/SJIM_2017_20_2_a2/
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