ANALYSIS OF A FREE BOUNDARY PROBLEM MODELING THROMBUS GROWTH

Weller F, Neuss-Radu M, Jäger W (2013)

Publication Status: Published

Publication Type: Journal article

Publication year: 2013

Journal

SIAM Journal on Mathematical Analysis Society for Industrial and Applied Mathematics

Publisher: SIAM PUBLICATIONS

Book Volume: 45

Pages Range: 809-833

Journal Issue: 2

DOI: 10.1137/100816626

Abstract

This paper analyzes a free boundary problem that was proposed in [F. F. Weller, J. Math. Biol., 61 (2010), pp. 805-818] as a model for the growth of platelet aggregates (thrombi) in the course of primary hemostasis. The fluid motion is described by the Navier Stokes system, and the velocity of the free boundary separating fluid and thrombus is related to the gradient of the platelet density. Since thrombus growth disturbs the flow and thus alters the transport of platelets to the thrombus surface, the fluid dynamic equations, the species equations, and the growth processes are fully coupled. For this coupled system, the existence of a smooth solution locally in time is proven.

Authors with CRIS profile

Maria Neuß Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Ruprecht-Karls-Universität Heidelberg DE Germany (DE) Hochschule Esslingen University of Applied Sciences DE Germany (DE)

How to cite

APA:

Weller, F., Neuss-Radu, M., & Jäger, W. (2013). ANALYSIS OF A FREE BOUNDARY PROBLEM MODELING THROMBUS GROWTH. SIAM Journal on Mathematical Analysis, 45(2), 809-833. https://dx.doi.org/10.1137/100816626

MLA:

Weller, Frederic, Maria Neuss-Radu, and Willi Jäger. "ANALYSIS OF A FREE BOUNDARY PROBLEM MODELING THROMBUS GROWTH." SIAM Journal on Mathematical Analysis 45.2 (2013): 809-833.

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