Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum with Memory

被引：4

作者：

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

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

机构：

[1] Voronezh State Univ, Lab Math Fluid Dynam, Univ Skaya Pl 1, Voronezh 394018, Russia

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2021年 / 23卷 / 01期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

Viscoelastic continuum; Motion equations; Initial-boundary value problem; Weak solution; Anti-Zener model; Fractional derivative; Regular Lagrangian flow; Primary; 76A05; Secondary; 35Q35; ZENER-STROH CRACK; REGULARIZED MODEL; FLUID-DYNAMICS; TRANSPORT; RELAXATION; CREEP;

D O I：

10.1007/s00021-020-00525-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the dynamics of a multidimensional viscoelastic continuum which subjects the fractional anti-Zener constitutive law with memory along trajectories of the velocity field. A weak solvability of a corresponding initial-boundary value problem is established.

引用

页数：24

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