报 告 人：娄本东 教授
同济大学 博士生导师
报告题目：Influence of boundary conditions on the qualitative property of a reaction-diffusion equation
报告时间：
报告地点：静远楼1506学术报告厅
报告摘要：We study a reaction diffusion equation $u_t=u_{xx}+f(u) (x\in[0; h(t)])$ with Robin boundary condition $u(0,t)=bu_x(0,t)$ and with a Stefan free boundary condition at $x=h(t)$. When $f$ is an unbalanced bistable nonlinearity we prove a trichotomy result on the long time behavior of the solutions, that is, any solution converges either to 0 (i.e. vanishing), or an active solution (i.e. spreading), or a ground state $V(x-y(t))$ with finite or infinite shift $y(t)$ (i.e. transition). In the last case, we show that $y(t)\to z$ for some real $z$ when $b$ is large, and $y(t)=Alnt+B +o(1)$ for some $A,B$ depending on $b$ and $f$ when $b$ is small。
同济大学数学系教授、博士生导师。1988年-1997年就读山东大学，分别获得山东大学学士、硕士、博士学位，1999年-2005年分别在日本东京大学和北海道大学从事工作，