On Regularity of Weak Solutions to a Generalized Voigt Model of Viscoelasticity

被引：4

作者：

Zvyagin, V. G. ^{[1
]}

Orlov, V. P. ^{[1
]}

机构：

[1] Voronezh State Univ, Voronezh 394018, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2020年 / 60卷 / 11期

基金：

俄罗斯科学基金会;

关键词：

viscoelastic medium; equations of motion; initial-boundary value problem; weak solution; Voigt viscoelasticity model; fractional derivative; SOLVABILITY; DYNAMICS;

D O I：

10.1134/S0965542520110159

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and uniqueness of a strong solution to the initial-boundary value problem for a system of fluid dynamics equations that is a fractional analogue of the Voigt viscoelasticity model in the plane case are established. The rheological equation of this model involves fractional derivatives.

引用

页码：1872 / 1888

页数：17

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