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This article is cited in 9 scientific papers (total in 9 papers)
On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives
V. G. Zvyagin, V. P. Orlov Research Institute of Mathematics, Voronezh State University, Voronezh, Russia
Abstract:
We establish the existence and uniqueness (the latter only in the plane case) of a weak solution to an initial-boundary value problem for the system of the equations of motion of a viscoelastic fluid, namely, for the anti-Zener model whose constitutive law contains fractional derivatives. We use the approximation of this problem by a sequence of regularized Navier–Stokes systems and passage to the limit.
Keywords:
viscoelastic medium, equation of motion, initial-boundary value problem, weak solution, anti-Zener model, fractional derivative.
Received: 27.01.2018
Citation:
V. G. Zvyagin, V. P. Orlov, “On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives”, Sibirsk. Mat. Zh., 59:6 (2018), 1351–1369; Siberian Math. J., 59:6 (2018), 1073–1089
Linking options:
https://www.mathnet.ru/eng/smj3048 https://www.mathnet.ru/eng/smj/v59/i6/p1351
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Abstract page: | 382 | Full-text PDF : | 82 | References: | 41 | First page: | 6 |
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