Inverse problem for the nonlinear long wave runup on a plane sloping beach

2023/04/11 by Alexei Rybkin, Efim Pelinovsky, Rybkin, Alexei +3 · 1 citation
Computer Science · Earth and Planetary Sciences · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.2304.04975

openalex publication_date 2023/04/11 · openalex created_date 2023/04/13 · openalex updated_date 2026/07/28

Abstract

We put forward a simple but effective explicit method of recovering initial data for the nonlinear shallow water system from the reading at the shoreline. We then apply our method to the tsunami waves inverse problem.

Cited by

• Reconstruction of the non-linear wave at a buoy from shoreline data and applications to the tsunami inverse problem for piece-wise sloping bathymetry

Related

• Reconstruction of the non-linear wave at a buoy from shoreline data and applications to the tsunami inverse problem for piece-wise sloping bathymetry
• Inverse non-linear problem of the long wave run-up on coast
• Separation of the initial conditions in the inverse problem for 1D non-linear tsunami wave run-up theory
• Runup of nonlinear asymmetric waves on a plane beach
• Tsunami wave runup on coasts of narrow bays