Weak solvability of the generalized Voigt viscoelasticity model
type: Item
instance of: scholarly article
title: Weak solvability of the generalized Voigt viscoelasticity model
zbMATH Open document ID: 1410.35135
DOI: 10.1134/S0037446617050135
author: D. A. Rode
author: M. Pliev
author: V. P. Orlov
published in: Siberian Mathematical Journal
publication date: 2018-02-06T00:00:00Z
review text: The authors present existence and uniqueness results for an initial boundary value problem corresponding to a fluid defined by a state equation (rheological relation) involving fractional derivatives. The fractional model considered in this article is analogous to the Kelvin-Voigt model. The authors prove the existence of a weak solution for the considered problem and its uniqueness in the planar case.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6834945
zbMATH Keywords: initial boundary value problem
zbMATH Keywords: weak solution
zbMATH Keywords: Voigt viscoelasticity model
zbMATH Keywords: fractional derivative
MaRDI profile type: Publication
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full work available at URL: s0037446617050135
OpenAlex ID: W2765240234
description: scientific article; zbMATH DE number 6834945