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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.AP2022
Weakly nonlinear geometric optics for the Westervelt equation and recovery of the nonlinearity
Nikolas Eptaminitakis, Plamen Stefanov
We study the non-diffusive Westervelt equation in the weakly nonlinear regime. We show that the leading profile equation is of Burgers' type. We show that a compactly supported non…