3 papers
math.AP2026
Reconstruction of the non-linear wave at a buoy from shoreline data and applications to the tsunami inverse problem for piece-wise sloping bathymetry
Oleksandr Bobrovnikov, Madison Jones, Shriya Prasanna +3
We discuss the following inverse problem: given the run-up data of a tsunami wave, can we recover its initial shape? We study this problem within the framework of the non-linear sh…
math.AP2025
Separation of the initial conditions in the inverse problem for 1D non-linear tsunami wave run-up theory
Alexei Rybkin, Oleksandr Bobrovnikov, Noah Palmer +2
We investigate the inverse tsunami wave problem within the framework of the 1D nonlinear shallow water equations (SWE). Specifically, we focus on determining the initial displaceme…
physics.flu-dyn2024
Inverse non-linear problem of the long wave run-up on coast
Alexei Rybkin, Efim Pelinovsky, Oleksandr Bobrovnikov +3
The study of the process of catastrophic tsunami-type waves on the coast makes it possible to determine the destructive force of waves on the coast. In hydrodynamics, the one-dimen…