Unique determination of stratified steady water waves from pressure |
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Authors: | Robin Ming Chen Samuel Walsh |
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Institution: | 1. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, United States;2. Department of Mathematics, University of Missouri, Columbia, MO 65211, United States |
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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. |
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Keywords: | Corresponding author |
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