Singular Functions and Characterizations of Field Concentrations: A Survey

Year:    2021

Author:    Hyeonbae Kang, Sanghyeon Yu

Analysis in Theory and Applications, Vol. 37 (2021), Iss. 1 : pp. 102–113

Abstract

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 (Lamé system), and viscous flow (Stokes system). This paper is to review such progress in a coherent way.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2021.pr80.08

Analysis in Theory and Applications, Vol. 37 (2021), Iss. 1 : pp. 102–113

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Field concentration gradient blow-up closely spaced inclusions extreme inclusions Laplace equation Lamé system Stokes system.

Author Details

Hyeonbae Kang

Sanghyeon Yu

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