V. A. Kozlov, S. A. Nazarov, G. L. Zavorokhin, “Pressure drop matrix for a bifurcation with defects”, Eurasian Journal of Mathematical and Computer Applications, 2019, том 7, выпуск 3,страницы 33

Эта публикация цитируется в 1 статье

Pressure drop matrix for a bifurcation with defects

V. A. Kozlov^a, S. A. Nazarov^bc, G. L. Zavorokhin^d

^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

Аннотация: 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.

Ключевые слова: Stokes’ flow, bifurcation of a blood vessel, modified Kirchhoff conditions, pressure drop matrix, total pressure loss.

MSC: 34C99, 35B40, 92C50

Язык публикации: английский

DOI: 10.32523/2306-6172-2019-7-3-33-55