Water-depth identification from free-surface data using the KdV-based nonlinear Fourier transform

We propose a novel method to determine the average water depth from shallow, weakly nonlinear water waves that are approximated by the Korteweg-de Vries equation. Our identification method only requires free-surface measurements from two wave gauges aligned in the direction of wave propagation. The method we propose is based on comparing...

Some observations on localisation in non-local and gradient damage models

Wave propagation and localization in a rate-dependent cracked medium-model formulation and one-dimensional examples