On Solvability of an Initial-Boundary Value Problem for a Viscoelasticity Model with Fractional Derivatives |
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Authors: | V G Zvyagin V P Orlov |
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Institution: | 1.Research Institute of Mathematics,Voronezh State University,Voronezh,Russia |
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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. |
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