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Discontinuous nonlinearity and traveling waves with free boundary

Professor Yong-Jung Kim(KAIST)
Tuesday, July 16th, 2019, 2:00 PM  闵行数学楼401报告厅

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.

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.

主持人: 潘兴斌 教授

主办单位:数学科学学院 科技处
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