Pressure Transfer Functions for Interfacial Fluids Problems

Robin Ming Chen, Vera Mikyoung Hur, Samuel Walsh

Research output: Contribution to journalArticlepeer-review


We make a consistent derivation, from the governing equations, of the pressure transfer function in the small-amplitude Stokes wave regime and the hydrostatic approximation in the small-amplitude solitary water wave regime, in the presence of a background shear flow. The results agree with the well-known formulae in the zero vorticity case, but they incorporate the effects of vorticity through solutions to the Rayleigh equation. We extend the results to permit continuous density stratification and to internal waves between two constant-density fluids. Several examples are discussed.

Original languageEnglish (US)
Pages (from-to)59-76
Number of pages18
JournalJournal of Mathematical Fluid Mechanics
Issue number1
StatePublished - Mar 1 2017


  • Water waves
  • pressure
  • stratification
  • transfer function
  • vorticity

ASJC Scopus subject areas

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics


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