讲座题目：Discontinuous nonlinearity and traveling waves with free boundary 主讲人：Professor Yong-Jung Kim 主持人：潘兴斌 教授 开始时间：2019-07-16 14:00:00 结束时间：2019-07-16 15:00:00 讲座地址：闵行数学楼401报告厅 主办单位：数学科学学院
报告人简介： Yong-Jung Kim obtained his Ph.D. in mathematics from University of Wisconsin at Madison in 1999. His thesis title was `Scaling invariance in hyperbolic conservation laws'. He had his post-doctoral positions at Universities of Minnesota, Toronto, and California-Riverside. He is currently a full professor at KAIST (Korean Advanced Institute of Science and Technology). His current research interests are focused on diffusion theory, population dynamics, and mathematical modeling. 报告内容： In this talk we consider a bistable nonlinearity with a jump discontinuity at a stable steady state. To handle the discontinuous nonlinearity, we define the weak solution in terms of set-valued integration. The existence, uniqueness, and the comparison property still hold. One of new feature of the problem is finite time extinction and existence of traveling waves with a free boundary. |
