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math.AP2024
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.AP2024
Unique continuation for water waves and dispersive multiplier equations
Adrian Kirkeby
We show that if a solution to the water wave equation, for an arbitrary short time interval, is flat on an open set and the horizontal fluid velocity at the surface is zero on the…