讲座题目：Stokes方程反问题的唯一性和数值方法

讲座时间：2022-07-01 10:30

讲座地点：腾讯会议：304-863-199

讲座摘要：This talk is concerned with an inverse boundary value problem for the Stokes equation with discontinuous viscosity coefficients in a two- or three-dimensional bounded domain. We show that the shape and location of the inclusion as well as its discontinuous viscosity coefficient can be uniquely recovered by the local Dirichlet-to-Neumann map defined on an arbitrary small open subset of the boundary, if the viscosity coefficient satisfies an a priori assumption on the boundary of the inclusion. Finally, we present a sampling-type method for numerically reconstructing the inverse problem. Numerical results illustrate the effectiveness of the inversion algorithm.

主讲人简介：杨家青，西安交通大学教授，在Inverse Problems, SIAM J. Appl. Math., SIAM J. Numer. Anal., SIAM J. Sci. Comput., SIAM J. Imaging Sci.等国际权威期刊发表论文30余篇。主持1项国家自然科学基金优秀青年科学基金项目；2018年获得中国工业与应用数学学会“CSIAM应用数学青年科技奖”；2017入选陕西省百人计划青年项目。