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12月29日10点30分 腾讯会议ID: 398 320 887 王泽佳 Symmetry-breaking bifurcations of a free boundary problem modeling tumor growth with angiogenesis by Stokes equation

报告题目:Symmetry-breaking bifurcations of a free boundary problem modeling tumor growth with angiogenesis by Stokes equation

 

报告人:王泽佳教授 江西师范大学

 

报告时间:1229日,1030

 

报告地点:腾讯会议ID398 320 887

 

报告人简介:

王泽佳,江西师范大学bat365官网登录入口教授、博士生导师。主要从事偏微分方程解的定性理论研究,已在Calc. Var. Partial Differential EquationsDiscrete Contin. Dyn. Syst. Ser. BProc. Roy. Soc. Edinburgh Sect. ANonlinearity等期刊发表及接收发表学术论文60篇。先后主持国家自然科学基金项目4项,省部级科研项目2,出版“十一五”国家级规划教材1部,曾应邀到新加坡国立大学、美国圣母大学、加拿大麦吉尔大学等地进行学术访问。

 

报告摘要:

In this talk, we consider bifurcation solutions of a free boundary problem modeling tumor growth with angiogenesis by Stokes equation. We first establish the existence and uniqueness of radially symmetric stationary solutions, then prove that there exist a positive integer $n^{**}$ and a sequence $(/mu//gamma)_n$ such that  a branch of symmetry-breaking stationary solutions bifurcate from the radially symmetric one for every $(/mu//gamma)_n$ (even $n/ge n^{**}$), where $/mu$ and $/gamma$ denote the proliferation rate and the cell-to-cell adhesiveness, respectively. We also give the impact of angiogenesis in tumor model.