Series expansions of the layer potential operators using the Faber polynomials and their applications to the transmission problem
We consider the conductivity transmission problem in two dimensions with a simply
connected inclusion of arbitrary shape. It is well known that the solvability of the transmission …
connected inclusion of arbitrary shape. It is well known that the solvability of the transmission …
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation
Given the flexibility of choosing negative elastic parameters, we construct material structures
that can induce two resonance phenomena, referred to as the elastodynamical resonances …
that can induce two resonance phenomena, referred to as the elastodynamical resonances …
[PDF][PDF] SPECTRAL PROPERTIES OF THE NEUMANN-POINCAR E OPERATOR AND CLOAKING BY ANOMALOUS LOCALIZED RESONANCE: A REVIEW
S FUKUSHIMA, YG JI, H KANG… - Journal of the Korean …, 2023 - ksiam.org
This is a review paper on recent development on the spectral theory of the Neumann-
Poincaré operator. The topics to be covered are convergence rate of eigenvalues of the …
Poincaré operator. The topics to be covered are convergence rate of eigenvalues of the …
Dyson gas on a curved contour
P Wiegmann, A Zabrodin - Journal of Physics A: Mathematical …, 2022 - iopscience.iop.org
We introduce and study a model of a logarithmic gas with inverse temperature β on an
arbitrary smooth closed contour in the plane. This model generalizes Dyson's gas (the β …
arbitrary smooth closed contour in the plane. This model generalizes Dyson's gas (the β …
The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
G Rozenblum - Journal of Pseudo-Differential Operators and …, 2023 - Springer
Abstract For the Neumann-Poincaré (double layer potential) operator in the three-
dimensional elasticity we establish asymptotic formulas for eigenvalues converging to the …
dimensional elasticity we establish asymptotic formulas for eigenvalues converging to the …
Spectral geometry and analysis of the Neumann-Poincaré operator, a review
H Kang - Recent progress in mathematics, 2022 - Springer
Abstract The Neumann-Poincaré operator is an integral operator defined on the boundary of
a bounded domain. The history of research on it goes back to the era of the mathematicians …
a bounded domain. The history of research on it goes back to the era of the mathematicians …
The quasi-static plasmonic problem for polyhedra
M de León-Contreras, KM Perfekt - Mathematische Annalen, 2023 - Springer
We characterize the essential spectrum of the plasmonic problem for polyhedra in R 3. The
description is particularly simple for convex polyhedra and permittivities ϵ<-1. The …
description is particularly simple for convex polyhedra and permittivities ϵ<-1. The …
Comparison of integral equations for the Maxwell transmission problem with general permittivities
J Helsing, A Karlsson, A Rosén - Advances in Computational Mathematics, 2021 - Springer
Two recently derived integral equations for the Maxwell transmission problem are compared
through numerical tests on simply connected axially symmetric domains for non-magnetic …
through numerical tests on simply connected axially symmetric domains for non-magnetic …
[PDF][PDF] Eigenvalue asymptotics for polynomially compact pseudodifferenial operators and applications
G Rozenblum - arXiv preprint arXiv:2006.10568, 2020 - arxiv.org
arXiv:2006.10568v1 [math.SP] 18 Jun 2020 Page 1 arXiv:2006.10568v1 [math.SP] 18 Jun
2020 EIGENVALUE ASYMPTOTICS FOR POLYNOMIALLY COMPACT …
2020 EIGENVALUE ASYMPTOTICS FOR POLYNOMIALLY COMPACT …
Carleman factorization of layer potentials on smooth domains
One of the unexplored benefits of studying layer potentials on smooth, closed hypersurfaces
of Euclidean space is the factorization of the Neumann-Poincar\'e operator into a product of …
of Euclidean space is the factorization of the Neumann-Poincar\'e operator into a product of …