第5回北大MMCセミナー

2012年 　 11月 30日 16時 30分 ～ 2012年 　 11月 30日 18時 00分

Bendong Lou （Department of Mathematics, Tongji University）

Title ：Spreading and Vanishing in Nonlinear Diffusion Problems with Free Boundaries

Abstract:　We study nonlinear diffusion problems of the form $u_t= ¥Delta u + f(u)$ with free boundaries.　Such problems may be used to describe the spreading of a biological or chemical species, with the free boundary representing the expanding front. We consider monostable and bistable types of nonlinearities and give a rather complete description of the long-time dynamical behavior of the solutions to this problem (spreading or vanishing).