On Linear Instability of the State of Rest of an Incompressible Polymer Fluid in the Presence of Strong Discontinuity

被引：0

作者：

Blokhin, A. M. ^{[1
,2
]}

Semenko, R. E. ^{[1
,2
]}

机构：

[1] Novosibirsk State Univ, Novosibirsk 630090, Russia

[2] Russian Acad Sci, Siberian Branch, Inst Math, Novosibirsk 630090, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2020年 / 60卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

polymer fluid; state of rest; strong discontinuity;

D O I：

10.1134/S0965542520040041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A linear problem of small perturbations of the flow of immiscible polymer fluids in a flat channel is formulated. For this problem, the existence of solutions unlimitedly increasing with time, the presence of which means linear instability of the state of rest of a polymer fluid with a strong discontinuity, is studied.

引用

页码：673 / 685

页数：13

共 34 条

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[32] Future instability of FLRW fluid solutions for linear equations of state p =K? with 1/3 < K < 1
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[33] Linear longwave instability of a single class of steady-state jet flows of an ideal fluid in the field of a self-electric current
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Fluid Dynamics, 2001, 36 (2) : 225 - 235
[34] Linear long-wave instability of one class of steady-state jet flows of ideal fluid in field of own electric current
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Nikulin, V.V.
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