Ocean‐depth measurement using shallow‐water wave models

@article{Vasan2021OceandepthMU,
  title={Ocean‐depth measurement using shallow‐water wave models},
  author={Vishal Vasan and Manisha and Didier Auroux},
  journal={Studies in Applied Mathematics},
  year={2021},
  volume={147},
  pages={1481 - 1518}
}
In this paper, we consider a problem inspired by the real‐world need to identify the topographical features of ocean basins. Specifically, we consider the problem of estimating the bottom impermeable boundary to an inviscid, incompressible, irrotational fluid from measurements of the free‐surface deviation alone, within the context of dispersive shallow‐water wave models. The need to consider the shallow‐water regime arises from the ill‐posed nature of the problem and is motivated by prior work… 
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