3 papers
math.AP2026
Wave-Current-Bathymetry Interaction Revisited: Modeling, Analysis and Asymptotics
Adrian Kirkeby, Trygve Halsne
Starting from the free surface Euler equations, we derive a leading-order system in terms of surface variables, depending on the surface current and on the bathymetry through the d…
math.AP2026
Imaging of seabed topography from the scattering of water waves
Adrian Kirkeby
We consider the problem of reconstructing the seabed topography from observations of surface gravity waves. We formulate the problem as a classical inverse scattering problem using…
math.AP2026
Feynman's inverse problem
Adrian Kirkeby
We analyse an inverse problem for water waves posed by Richard Feynman in the BBC documentary Fun to Imagine. The problem can be modelled as an inverse Cauchy problem for gravity-c…