杨家青副教授学术报告

报告题目： Inverse boundary value problems for Stokes equations with partial data

报告人: 杨家青 副教授（西安交通大学）

报告时间: 2019.12.26 周四下午2:30-3:30

报告地点: 数学院大会议室341

内容摘要：In this talk, we will report our recent results on uniqueness for the inverse boundary value problem for Stokes equations. We show that the discontinuous coefficients or at least its support in the Stokes equation can be uniquely determined by taking local Cauchy data measured on the a possibly small open region of the boundary. The method depends on both a priori estimates for the Stokes equation in the Sobolev space $L^p$ for $1<p<2$ and constructing a well-defined coupled PDEs system defined by a family of special solutions of

the Stokes equations.

报告人简介: 杨家青，西安交通大学数学与统计学院副教授，主要从事PDE反问题，特别是反散射的数学理论与计算的研究。2018年获得第四届CSIAM应用数学青年科技奖，2017年入选陕西省百人计划青年项目。目前主持国家自然科学基金面上项目一项，已主持完成国家自然科学基金青年项目一项。在 Inverse Problems, SIAM J. Appl. Math., SIAM J. Imag. Sci., J. Differ. Equ., Inverse Problems & Imaging 等国内外刊物上发表了20余篇学术论文。