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

[1] On Linear Instability of the State of Rest of an Incompressible Polymer Fluid in the Presence of Strong Discontinuity
A. M. Blokhin
R. E. Semenko
Computational Mathematics and Mathematical Physics, 2020, 60 : 673 - 685
[2] Linear Stability of an Incompressible Polymer Fluid at Rest
Blokhin A.M.
Goldin A.Y.
Journal of Mathematical Sciences, 2018, 230 (1) : 14 - 24
[3] On the Linear Instability of Incompressible Polymeric Liquid Flows with Strong Discontinuity
A. M. Blokhin
A. Yu. Goldin
Technical Physics, 2018, 63 : 1459 - 1467
[4] On the Linear Instability of Incompressible Polymeric Liquid Flows with Strong Discontinuity
Blokhin, A. M.
Goldin, A. Yu.
TECHNICAL PHYSICS, 2018, 63 (10) : 1459 - 1467
[5] Linear instability of the state of rest for an incompressible polymer liquid upon injection from the cathode and heating from the top
A. M. Blokhin
R. E. Semenko
Computational Mathematics and Mathematical Physics, 2017, 57 : 1796 - 1807
[6] Linear instability of the state of rest for an incompressible polymer liquid upon injection from the cathode and heating from the top
Blokhin, A. M.
Semenko, R. E.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (11) : 1796 - 1807
[7] An MHD Model of an Incompressible Polymeric Fluid: Linear Instability of a Steady State
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Rudometova A.S.
Tkachev D.L.
Journal of Applied and Industrial Mathematics, 2020, 14 (03): : 430 - 442
[8] STABILITY OF THE REST STATE OF A VISCOUS INCOMPRESSIBLE FLUID
AMANN, H
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1994, 126 (03) : 231 - 242
[9] Spectrum and linear Lyapunov instability of a resting state for flows of an incompressible polymeric fluid
Tkachev, D. L.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 522 (01)
[10] MHD model of incompressible polymeric fluid. Linear instability of the resting state
Blokhin, A. M.
Tkachev, D. L.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (6-7) : 929 - 944

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