Quantitative Analysis of Field Concentration in Presence of Closely Located

Explore a 35-minute conference talk on the quantitative analysis of field concentration in composite materials with closely located inclusions. Delve into the importance of understanding field concentration for composite theory and imaging, representing stress or field enhancement. Review significant progress made over the past three decades in analyzing this phenomenon, including optimal estimates and asymptotic characterization for conductivity equations, linear elasticity, and Stokes systems. Gain insights into the coherent presentation of these advancements, focusing on scenarios where material properties of inclusions contrast highly with the matrix, leading to field concentration in narrow regions between closely located inclusions.