1. 일시 : 11월 8일 (금) 오후 4시 – 5시
2. 장소 : 아산이학관 526호(권택연 세미나실)
3. 연사 : 강현배 교수님 (인하대학교 수학과, 정석 석좌교수)
4. 제목 : Neutral inclusions, an overdetermined problem for confocal ellipsoids, and more
5. 초록 : An inclusion is said to be neutral to uniform fields if upon insertion into a homogeneous medium with a uniform field it does not perturb the uniform field at all. It is said to be weakly neutral if it perturbs the uniform field mildly. Such inclusions are of interest in relation to invisibility cloaking and effective medium theory. There have been some attempts lately to construct or to show existence of such inclusions in the form of core-shell structure or a single inclusion with the imperfect bonding parameter attached to its boundary. In this talk we review recent progress in such attempts. We also discuss the over-determined problem for confocal ellipsoids which is closely related with the neutral inclusion problem, and its equivalent formulation in terms of Newtonian potentials. We will also talk about recent applications to stress estimate on a biological body.