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20192025
most citedHomogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects

2 citations · 2 across the 1 of their papers we have counts for

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math.AP2025

Homogenization of an indefinite spectral problem arising in population genetics

Srinivasan Aiyappan, Aditi Chattaraj, Irina Pettersson

We study an indefinite spectral problem for a second-order self-adjoint elliptic operator in an asymptotically thin cylinder. The operator coefficients and the spectral density fun…

math.AP2022★ 2 cited

Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects

S Aiyappan, Georges Griso, Julia Orlik

The work is motivated by the Faraday cage effect. We consider the Helmholtz equation over a 3D-domain containing a thin heterogeneous interface of thickness . The layer has…

math.AP2019

Homogenization of a locally periodic oscillating boundary

Srinivasan Aiyappan, Klas Pettersson

This paper deals with the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating boundary. The Neumann condition is…