INSTABILITY AND STABILIZATION OF SOLUTIONS OF A STOCHASTIC MODEL OF VISCOELASTIC FLUID DYNAMICS

The instability and stability of solutions of the stochastic system describing the flow of a viscoelastic liquid are investigated. It is shown that for certain values of the parameters included in the equations of the system, the existence of unstable and stable invariant spaces. For unstable case, the stabilization problem is solved based on the feedback principle.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025010021
Primary Topic
Rheology and Fluid Dynamics Studies
Type
article
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article

INSTABILITY AND STABILIZATION OF SOLUTIONS OF A STOCHASTIC MODEL OF VISCOELASTIC FLUID DYNAMICS

O.G. Kitaeva
Дифференциальные уравнения / Differential Equations
Rheology and Fluid Dynamics Studies
article

INSTABILITY AND STABILIZATION OF SOLUTIONS OF A STOCHASTIC MODEL OF VISCOELASTIC FLUID DYNAMICS

O.G. Kitaeva
article en

Abstract

The instability and stability of solutions of the stochastic system describing the flow of a viscoelastic liquid are investigated. It is shown that for certain values of the parameters included in the equations of the system, the existence of unstable and stable invariant spaces. For unstable case, the stabilization problem is solved based on the feedback principle.

Дифференциальные уравнения / Differential EquationsVol. 61(1)
Openalex Percentile: Top 76%
Rheology and Fluid Dynamics Studies
DOISourceOpenAlex
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INSTABILITY AND STABILIZATION OF SOLUTIONS OF A STOCHASTIC MODEL OF VISCOELASTIC FLUID DYNAMICS — O.G. Kitaeva · Дифференциальные уравнения / Differential Equations (2025) | TGRS Research Map | TGRS