WIAS Preprint No. 531, (1999)

Surface waves at an interface separating a saturated porous medium and a liquid


Authors

  • Edelman, Inna
  • Wilmański, Krzysztof

2010 Mathematics Subject Classification

  • 35C20 35L50 73D20

Keywords

  • partial differential equations, waves in porous media

DOI

10.20347/WIAS.PREPRINT.531

Abstract

Surface waves at an interface between a saturated porous medium and a liquid are investigated. Existence and peculiarities of surface wave propagation are revealed. Three types of surface waves are proven to be possible: true Stonely surface wave propagating almost without dispersion, leaky slow pseudo-Stonely wave, and leaky generalized Rayleigh wave. True Stonely and generalized Rayleigh waves correspond to those waves, which exist at a free interface of a saturated porous medium with vacuum.

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