中科院数学与系统科学研究院
数学研究所
学术报告
非线性分析研讨班
报告人：李海刚（北京师范大学）
题 目：Babuska Problem in Composite Materials and Suspension Problem in Stokes Flow
时 间：2023.10.17（星期二）13:30-14:20
地 点：思源楼S615
摘 要：In a high-contrast elastic composite media, when inclusions are spaced closely, the stress always concentrates in between inclusions and causes damage initiation. For Babuska problem in linear elasticity, we obtain the blow-up asymptotic expressions of the gradients of solutions to the Lame system with partially infinite coefficients in the narrow region when the distance between inclusions tends to zero. An iteration method for the energy is developed for elliptic equations and systems. By using this method, recently, the stress concentration problem between two adjacent rigid inclusions suspending in the Stokes flow is solved.
附件：