聚合物流体在带孔壁面通道中固定流动的Lyapunov不稳定性

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2022-01-01 DOI:10.1070/SM9507

A. Blokhin, D. Tkachev

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引用次数: 1

摘要

研究了不可压缩粘弹性聚合物介质中溶液或熔体流动的流变Pokrovskii-Vinogradov模型。证明了沿通道壁面变化变量的周期扰动类中具有恒定流量的基解的线性Lyapunov不稳定性。参考书目:14篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls

The rheological Pokrovskii-Vinogradov model for flows of solutions or melts of an incompressible viscoelastic polymeric medium is studied in the case of flows in an infinite planar channel with perforated walls. The linear Lyapunov instability is proved for the base solution with constant flow rate in the class of perturbations periodic in the variable varying along the channel wall. Bibliography: 14 titles.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis