Abstract
We establish the existence and uniqueness of a weak solution to an initial boundary value problem for the system of the motion equations of a fluid that is a fractional analog of the Voigt viscoelasticity model. The rheological equation of the model contains fractional derivatives.
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Original Russian Text Copyright © 2017 Orlov V.P., Rode D.A., and Pliev M.A.
Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 5, pp. 1110–1127, September–October, 2017; DOI: 10.17377/smzh.2017.58.513.
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Orlov, V.P., Rode, D.A. & Pliev, M.A. Weak solvability of the generalized Voigt viscoelasticity model. Sib Math J 58, 859–874 (2017). https://doi.org/10.1134/S0037446617050135
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DOI: https://doi.org/10.1134/S0037446617050135