Abstract
We study a system of nonlinear equations describing unsteady flows of a viscoelastic fluid of the Oldroyd type in a bounded three-dimensional domain under the mixed boundary conditions: the Navier slip condition is set on one part of the boundary, while on the other part, the no-slip condition is set. We prove the theorem concerning the existence, uniqueness, and energy estimates for weak solutions.
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Original Russian Text © E.S. Baranovskii, 2017, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2017, Vol. XX, No. 2, pp. 21–32.
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Baranovskii, E.S. On weak solutions to evolution equations of viscoelastic fluid flows. J. Appl. Ind. Math. 11, 174–184 (2017). https://doi.org/10.1134/S199047891702003X
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DOI: https://doi.org/10.1134/S199047891702003X