This document is an announcement and preview of a memoir whose full version is available
on the Open Math Notes repository of the American Mathematical Society (OMN …

Bloch–Floquet band gaps for water waves over a periodic bottom Page 1 EMS Surv. Math. Sci.
(Online first) DOI 10.4171/EMSS/93 © 2025 European Mathematical Society Published by EMS …

We study the spectral and scattering theory of light transmission in a system consisting of
two asymptotically periodic waveguides, also known as one-dimensional photonic crystals …

This thesis contributes to the study of the two-dimensional water wave problem in the
presence of a variable bottom topography, which describes the motion of a free surface over …

We study normal modes for the linear water wave problem in infinite straight channels of
bounded constant cross-section. Our goal is to compare semianalytic normal mode solutions …

We study normal modes for the linear water wave problem in infinite straight channels of
bounded constant cross-section. Our goal is to compare semi-analytic normal mode …

We are interested in the validity of the KdV and of the long wave NLS approximation for the
water wave problem over a periodic bottom. Approximation estimates are non-trivial, since …

We consider the existence of affine-periodic solutions to the nonlinear ordinary differential
equation: 0.1 x′= f (t, x) aex^′=f(t,x) in ℝ n, where f is continuous and ensures the …

The KdV equation can be derived via multiple scaling analysis for the approximate
description of long waves in dispersive systems with a conservation law. In this paper, we …

We study the formation of steady waves in two-dimensional fluids under a current with mean
velocity $ c $ flowing over a periodic bottom. Using a formulation based on the Dirichlet …