Unique determination of stratified steady water waves from pressure

作者:Chen Robin Ming*; Walsh Samuel
来源:Journal of Differential Equations, 2018, 264(1): 115-133.
DOI:10.1016/j.jde.2017.09.002

摘要

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. Published by Elsevier Inc.

  • 出版日期2018-1-5