6-19吴文俊数学重点实验室动力系统系列讲座之56【Bei Hu】

发布者:系统管理员发布时间:2018-06-15浏览次数:18

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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