勷勤数学•专家报告

题      目：Analysis of periodic solutions for a free boundary tumor model with a periodic supply of external nutrients

报  告  人：黄瑶丹 副教授  (邀请人：潘洪京)

                                      杭州师范大学

时      间： 11月30日  15：00-16:00

地     点：数科院西楼111报告厅

报告人简介:

       黄瑶丹, 杭州师范大学数学学院副教授, 博士毕业于西安交通大学和美国圣母大学(联培), 中山大学博士后, 主要研究方向: 偏微分方程和生物数学自由边界问题, 目前在JDE, JMB, DCDS等学术期刊发表十余篇论文, 主持国自然科学基金青年项目、省基金和博士后基金, 参加国家重点研发计划项目.

摘      要：

         This talk is devoted to the stability of periodic solutions for a free boundary tumor model with a periodic supply of external nutrients. We denote by $\mu$ the tumor aggressiveness constant. We establish a sequence of non-radially symmetric T-periodic solutions bifurcating from the radially symmetric T-periodic solution. And we also investigate the linear stability with respect to non-radial symmetric perturbation, and find a critical threshold of the tumor aggressiveness constant for which the stability changes. This is a joint work with Professor Bei Hu.

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