Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899118 | Journal of Differential Equations | 2018 | 19 Pages |
Abstract
Consider a two-dimensional stratified solitary wave propagating through a body of water that is bounded below by an impermeable ocean bed. In this work, we study how such a wave can be recovered from data consisting of the wave speed, upstream and downstream density and velocity profile, and the trace of the pressure on the bed. In particular, we prove that this data uniquely determines the wave, both in the (real) analytic and Sobolev regimes.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Robin Ming Chen, Samuel Walsh,