The initial-boundary problem for the system of 1D equations of non-Newtonian hemodynamics

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The initial-boundary problem for the system of 1D equations of non-Newtonian hemodynamics. / Krivovichev, Gerasim V.

In: Journal of Physics: Conference Series, Vol. 1697, No. 1, 012075, 17.12.2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{65a8c85945df41e1aa612dee22ebdae5,

title = "The initial-boundary problem for the system of 1D equations of non-Newtonian hemodynamics",

abstract = "The paper is devoted to the analytical solution of the problem for 1D hemodynamical equations with periodic boundary conditions. The method of the solution is based on the asymptotic expansions on the small parameter and Fourier method. The attention is focused only on the first-order terms in the expansion. The solution, obtained for the particular case of initial conditions, is used for the comparison of rheological models of blood. It is demonstrated that the strongest damping takes place for the Power Law non-Newtonian model. ",

author = "Krivovichev, {Gerasim V.}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; International Conference PhysicA.SPb 2020 ; Conference date: 19-10-2020 Through 23-10-2020",

year = "2020",

month = dec,

day = "17",

doi = "10.1088/1742-6596/1697/1/012075",

language = "English",

volume = "1697",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

url = "http://physica.spb.ru/, http://physica.spb.ru/archive/physicaspb2020/",

}

RIS

TY - JOUR

T1 - The initial-boundary problem for the system of 1D equations of non-Newtonian hemodynamics

AU - Krivovichev, Gerasim V.

PY - 2020/12/17

Y1 - 2020/12/17

N2 - The paper is devoted to the analytical solution of the problem for 1D hemodynamical equations with periodic boundary conditions. The method of the solution is based on the asymptotic expansions on the small parameter and Fourier method. The attention is focused only on the first-order terms in the expansion. The solution, obtained for the particular case of initial conditions, is used for the comparison of rheological models of blood. It is demonstrated that the strongest damping takes place for the Power Law non-Newtonian model.

AB - The paper is devoted to the analytical solution of the problem for 1D hemodynamical equations with periodic boundary conditions. The method of the solution is based on the asymptotic expansions on the small parameter and Fourier method. The attention is focused only on the first-order terms in the expansion. The solution, obtained for the particular case of initial conditions, is used for the comparison of rheological models of blood. It is demonstrated that the strongest damping takes place for the Power Law non-Newtonian model.

UR - http://www.scopus.com/inward/record.url?scp=85098327147&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1697/1/012075

DO - 10.1088/1742-6596/1697/1/012075

M3 - Article

AN - SCOPUS:85098327147

VL - 1697

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012075

T2 - International Conference PhysicA.SPb 2020

Y2 - 19 October 2020 through 23 October 2020

ER -

ID: 73721104