bevictor伟德官网邀请专家申请表
报告人 | 单位 | University of Cincinnati | |
报告题目 | Lifespan Estimate for the Partial Nonlinear Radiation Problems | ||
报告时间 | 5月23日 15：00-16：00 | 地点 | 第一报告厅 |
邀请人 | 王小六 | ||
报告摘要 |
This talk is about the lifespan estimate for the heat equation $u_t=\Delta u$ in a bounded domain $\Omega$ in $\mathbb{R}^{n}(n\geq 2)$ with positive initial data $u_{0}$ and partial nonlinear radiation boundary conditions. First, the local existence and uniqueness of the classical solution will be discussed. Secondly, both upper and lower bounds of the lifespan will be shown. Finally, the asymptotic behaviour of the bounds concerning the nonlinearity power $q$, the initial data $u_{0}$ and the area of the boundary part where the nonlinear radiation occurs will be explored. This is a joint work with Zhengfang Zhou.
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报告人简介 | Work Experience • Visiting Assistant Professor, Department of Mathematical Sciences, University of Cincinnati, August 2017 - current. Mentor: Bingyu Zhang.
Education • Ph.D. in Mathematics, Michigan State University, MI, USA, June 2017. Dissertation Advisor: Zhengfang Zhou. • B.S. in Mathematics, Tsinghua University, Beijing, China, July 2011.
Research Interests (1) Blow-up problems for nonlinear parabolic and wave equations. (2) Random data Cauchy theory for dispersive equations | ||
