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.
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页数：24
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