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Titel:

An iterative algorithm for solving an initial boundary value problem of oxygen transport in brain

Dokumenttyp:
Proceedings Paper
Autor(en):
Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu; Dekalchuk, Anastasiya A.; Botkin, Nikolai D.; Lampe, Renee
Abstract:
A non-stationary model of oxygen transport in brain is studied. The model comprises two coupled, non-linear partial differential equations describing the oxygen concentration in the blood and tissue phases. Thus, the model is the so-called continuum one, where the blood and tissue fractions occupy the same spatial domain. A priori estimates of solutions are obtained, and an iterative procedure for finding them is proposed. The convergence of this method to a unique weak solution of the problem i...     »
Herausgeber:
Motygin, OV; Kiselev, AP; Goray, LI; Fedotov, AA; Kazakov, AY; Kirpichnikova, AS
Kongress- / Buchtitel:
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION (DD) 2019
Kongress / Zusatzinformationen:
International Conference on Days on Diffraction (DD), St. Petersburg, RUSSIA, JUN 03-07, 2019
Ausrichter der Konferenz:
St Petersburg State Univ; Euler Int Math Inst; V A Steklov Math Inst, St Petersburg Dept; Simons Fdn; IEEE; IEEE Russia NW Sect AP ED MTT Joint Chapter
Verlag / Institution:
IEEE
Verlagsort:
345 E 47TH ST, NEW YORK, NY 10017 USA
Jahr:
2019
Seiten:
99-104
Print-ISBN:
978-1-7281-5837-2
Sprache:
English
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