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제목
Geometric Series Expansions of Layer Potential Operators and Their Applications to Composite Materials / 임미경 교수 (KAIST)
작성일
2021.10.18
작성자
CSE office
게시글 내용

YONSEI Math-CSE Colloquium


2021. 10. 21. (목) 17 : 00


Geometric Series Expansions of Layer Potential Operators and Their Applications to Composite Materials

임미경 교수 (KAIST)


For a simply connected planar domain, there exists a function that conformally maps a region outside a circular disk to the region outside the domain. This conformal mapping then defines the so-called Faber polynomials, which form a basis for analytic functions. The Neumann–Poincaré (NP) operator, a singular integral operator on the boundary of a domain, naturally appears when one solves a conductivity transmission problem via the boundary integral formulation. In this talk, I present the geometric series expressions for the NP operator and the single-layer potential in two dimensions using the Faber polynomials. I will then provide some geometric properties of composite materials obtained with the series expansions, including the effective conductivity of a periodic array of inclusions with extremal conductivity and extension of theEshelby conjecture to domains of general shape for anti-plane elasticity.


Zoom link
https://yonsei.zoom.us/j/89486652536?pwd=VFhRcjd0dWJWZlozY1RZa0xPUGIrZz09

Meeting ID: 894 8665 2536
Passcode: 224718

행사일
2021-10-21
첨부
2021.10.21_kim.pdf