In the presence of closely located inclusions of the extreme material property,the physical fields,such as the electric field and the stress tensor,may be concentrated and arbitrarily large in the narrow region betwee...In the presence of closely located inclusions of the extreme material property,the physical fields,such as the electric field and the stress tensor,may be concentrated and arbitrarily large in the narrow region between two inclusions.Recently there has been significant progress on the quantitative characterization of the field concentration in the contexts of electrostatics(Laplace equation),linear elasticity(Lam´e system),and viscous flow(Stokes system).This paper is to review such progress in a coherent way.展开更多
基金This work is supported by NRF 2019R1A2B5B01069967 and 2020R1C1C1A01010882.
文摘In the presence of closely located inclusions of the extreme material property,the physical fields,such as the electric field and the stress tensor,may be concentrated and arbitrarily large in the narrow region between two inclusions.Recently there has been significant progress on the quantitative characterization of the field concentration in the contexts of electrostatics(Laplace equation),linear elasticity(Lam´e system),and viscous flow(Stokes system).This paper is to review such progress in a coherent way.
