Unique determination of stratified steady water waves from pressure (Q2410306)

The authors investigate two-dimensional stratified wave propagation in the ocean. The waves in the ocean exhibit a heterogeneous density due to salinity or temperature gradients. It is known from observation that water columns have nearly constant density outside of the transition layers, so the water waves can be viewed as being a layering of multiple non-miscible fluids with constant densities. The waves can be uniquely recovered from data consisting of the wave speed, upstream and downstream density, and velocity profile, and the trace of the pressure on the impermeable ocean bed.