报告题目:  A Free Boundary Problem for modeling Plaques in the Artery

报告人：Bei Hu, University of Notre Dame

时间：2018年6月19日下午3:10—4:10

地点：管研楼1418教室

摘要: Atherosclerosis is a leading cause of death worldwide; it originates from a plaque which builds up in the artery. We considered a simplified model of plaque growth involving LDL and HDL cholesterols, macrophages and foam cells, which satisfy a coupled system of PDEs with a free boundary, the interface between the plaque and the blood flow. We proved that there exist small radially symmetric stationary plaques and established a sharp condition that ensures their stability. We also determined necessary and sufficient conditions under which a small initial plaque will shrink and disappear, or persist for all times.

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