Weak solvability of the generalized Voigt viscoelasticity model

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. © 2017, Pleiades Publishing, Ltd.

Authors
Orlov V.P.1 , Rode D.A.2 , Pliev M.A. 3, 4
Journal
Siberian Mathematical Journal
Number of issue
5
Language
English
Pages
859-874
Status
Published
Link
External link
DOI
10.1134/S0037446617050135
Volume
58
Year
2017
Organizations
  • 1 Voronezh State University, Institute of Mathematics, Voronezh, Russian Federation
  • 2 Voronezh State University, Voronezh, Russian Federation
  • 3 Southern Mathematical Institute, Vladikavkaz, Russian Federation
  • 4 Russia Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
fractional derivative; initial boundary value problem; motion equations; viscoelastic medium; Voigt viscoelasticity model; weak solution
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