3 papers
math.AP2025
The DC Kerr Effect in Nonlinear Optics
Nikolas Eptaminitakis, Plamen Stefanov
We use weakly nonlinear geometric optics to study a model for the DC Kerr effect (the Kerr electro-optic effect), in which a light beam propagating through a material with strong n…
math.AP2021
The solid-fluid transmission problem
Nikolas Eptaminitakis, Plamen Stefanov
We study microlocally the transmission problem at the interface between an isotropic linear elastic solid and a linear inviscid fluid. We set up a system of evolution equations des…
math.DG2019
Asymptotically Hyperbolic Manifolds with Boundary Conjugate Points but no Interior Conjugate Points
Nikolas Eptaminitakis, C. Robin Graham
We construct non-trapping asymptotically hyperbolic manifolds with boundary conjugate points but no interior conjugate points.