ON SOME FORMULATIONS AND EXACT SOLUTIONS OF BOUNDARY VALUE PROBLEMS OF QUASI-ONE-DIMENSIONAL HEMODYNAMICS

A boundary value problem for quasi-one-dimensional hemodynamic equations for a straight circular vessel in which unsteady pressure and flow functions are set as a boundary condition is considered. The conditions for limited and unlimited solution existence, as well as existence of retrograde blood flow in the vessel, are formulated and proved.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025060077
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

ON SOME FORMULATIONS AND EXACT SOLUTIONS OF BOUNDARY VALUE PROBLEMS OF QUASI-ONE-DIMENSIONAL HEMODYNAMICS

A. Ya. Bunicheva
Дифференциальные уравнения / Differential Equations
Differential Equations and Numerical Methods
article

ON SOME FORMULATIONS AND EXACT SOLUTIONS OF BOUNDARY VALUE PROBLEMS OF QUASI-ONE-DIMENSIONAL HEMODYNAMICS

A. Ya. Bunicheva
article en

Abstract

A boundary value problem for quasi-one-dimensional hemodynamic equations for a straight circular vessel in which unsteady pressure and flow functions are set as a boundary condition is considered. The conditions for limited and unlimited solution existence, as well as existence of retrograde blood flow in the vessel, are formulated and proved.

Дифференциальные уравнения / Differential EquationsVol. 61(6)
Openalex Percentile: Top 61%
Differential Equations and Numerical Methods
DOISourceOpenAlex
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ON SOME FORMULATIONS AND EXACT SOLUTIONS OF BOUNDARY VALUE PROBLEMS OF QUASI-ONE-DIMENSIONAL HEMODYNAMICS — A. Ya. Bunicheva · Дифференциальные уравнения / Differential Equations (2025) | TGRS Research Map | TGRS