Details

Autor(en) / Beteiligte

• Oukouomi Noutchie, S. C.
• Karamanos, K.
• He, S.

Titel

Global Analysis of a Blood Flow Model with Artificial Boundaries

Ist Teil von

• ISRN applied mathematics, 2013-12, Vol.2013, p.1-14

Ort / Verlag

Hindawi Publishing Corporation

Erscheinungsjahr

2013

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• A theoretical model for blood flow in ramifying arteries was introduced and studied numerically (Quarteroni and Veneziani, 2003). A special experimental condition was considered on the artificial boundaries. In this paper, the aim is to analyze the well-posedness of this model, with the focus on the stilted boundary conditions. We use Brouwer’s fixed point theorem to show the existence of a solution to the stationary problem. For the evolutionary version, we use some energy estimates and Galerkin’s method to prove global existence, uniqueness, and stability of a weak solution.