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

被引：0

作者：

V. G. Zvyagin

V. P. Orlov

机构：

[1] Voronezh State University,Laboratory of Mathematical Fluid Dynamics

来源：

Journal of Mathematical Fluid Mechanics | 2021年 / 23卷

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;

D O I：

暂无

中图分类号：

学科分类号：

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

共 50 条

[1] Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum with Memory
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[2] Investigation of the Weak Solvability of One Viscoelastic Fractional Voigt Model
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[10] On the Weak Solvability of High-order Viscoelastic Fluid Dynamics Model
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