Vishal Vasan
International Centre for Theoretical Sciences at the Tata Institute of Fundamental Research

"The Bathymetry Detection Problem: a Water-Wave Approach"

Bathymetry detection involves deducing the bottom topography of the seabed. The input information can come from a variety of sources depending on the instrumentation involved. In this talk, I'll present an approach to this problem that exploits the physics of surface gravity waves. I'll present a fully nonlinear method to recover the bottom bed shape in the context of the Euler equations for inviscid irrotational fluid flow with no further approximation. The talk will be a combination of some numerical experiments, analysis as well as experimental investigations. A recurring theme will be the ill-posed nature of the problem and the difficulties this presents.

Host: Kyle Mandli