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Eurasian Journal of Mathematical and Computer Applications, 2019, Volume 7, Issue 3, Pages 33–55
DOI: https://doi.org/10.32523/2306-6172-2019-7-3-33-55 (Mi ejmca136) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Pressure drop matrix for a bifurcation with defects

V. A. Kozlova, S. A. Nazarovbc, G. L. Zavorokhind

a Department of Mathematics, Linköping University, Linköping, Sweden
b St.Petersburg State University, Universitetsky pr., 28, Peterhof, St. Petersburg, 198504, Russia
c Institute of Problems of Mechanical Engineering RAS laboratory "Mathematical Methods in Mechanics of Materials"
d St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia
Full-text PDF (464 kB) Citations (1)
DOI: https://doi.org/10.32523/2306-6172-2019-7-3-33-55
Abstract: We consider a bifurcation of an artery. The influence of defects of the vessel’s wall near the bifurcation point on the pressure drop matrix is analyzed. The elements of this matrix are included in the modified Kirchhoff transmission conditions, which were introduced earlier in [1], [2], and which describe adequately the total pressure loss at the bifurcation point of the flow passed through it.
Keywords: Stokes’ flow, bifurcation of a blood vessel, modified Kirchhoff conditions, pressure drop matrix, total pressure loss.
Funding agency Grant number
Swedish Research Council EO418401
Russian Foundation for Basic Research 18-01-00325
16-31-60112
V. K. acknowledges the support of the Swedish Research Council (VR) grant EO418401. S. N. was supported by the Russian Foundation for Basic Research, project no. 18-01-00325, and by Link ̈oping University (Sweden). G. Z. was supported by Link ̈oping University, and by RFBR grant 16-31-60112.
Bibliographic databases:
Document Type: Article
MSC: 34C99, 35B40, 92C50
Language: English
Citation: V. A. Kozlov, S. A. Nazarov, G. L. Zavorokhin, “Pressure drop matrix for a bifurcation with defects”, Eurasian Journal of Mathematical and Computer Applications, 7:3 (2019), 33–55
Citation in format AMSBIB
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\by V.~A.~Kozlov, S.~A.~Nazarov, G.~L.~Zavorokhin
\paper Pressure drop matrix for a bifurcation with defects
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2019
\vol 7
\issue 3
\pages 33--55
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\crossref{https://doi.org/10.32523/2306-6172-2019-7-3-33-55}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071417347}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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