English

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

Analysis of PDEs 2023-07-07 v2 Mathematical Physics math.MP Fluid Dynamics

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.

Keywords

Cite

@article{arxiv.2304.04975,
  title  = {Inverse problem for the nonlinear long wave runup on a plane sloping beach},
  author = {Alexei Rybkin and Efim Pelinovsky and Noah Palmer},
  journal= {arXiv preprint arXiv:2304.04975},
  year   = {2023}
}

Comments

To be published in Applied Math Letters

R2 v1 2026-06-28T09:58:50.366Z