Bifurcation for a free-boundary tumor model with inhibitors and Gibbs-Thomson relation
报告人:王泽佳
报告地点:人民大街校区数学与统计学院619大应用数学实验室
报告时间:2026年08月04日星期二15:30-16:30
邀请人:李敬宇
报告摘要:
In this talk, we consider a free boundary problem modeling the growth of tumors under the action of inhibitors and Gibbs-Thomson relation. We first give a complete classification of the existence of radially symmetric stationary solutions by a threshold of cell-to-cell adhesiveness , then prove that a branch of symmetry-breaking stationary solutions bifurcates from radially symmetric stationary solutions at a decreasing sequence . Finally, we conclude the impact of inhibitors and Gibbs-Thomson relation on tumor growth.
主讲人简介:
江西师范大学数学与统计学院教授、博导、院长,江西省数学学会常务理事,江西省主要学科学术和技术带头人。主要从事偏微分方程解的定性理论研究,在具非线性源的非线性扩散方程解长时间行为、肿瘤模型自由边界问题解的稳定性等方面取得了一系列深刻结果,已发表学术论文70余篇,先后主持5项国家自然科学基金项目,受邀到香港城市大学、新加坡国立大学、美国圣母大学与加拿大麦吉尔大学等地进行学术访问。