WIAS Preprint No. 789, (2002)

Existence of the Stoneley surface wave at vacuum/porous medium interface: Low-frequency range



Authors

  • Edelman, Inna

2010 Mathematics Subject Classification

  • 35C20 74J15 35L50 74F10 76M45 35B32

Keywords

  • porous medium, interface, surface waves, asymptotics, bifurcation

Abstract

Existence and asymptotic behavior of the Stoneley surface wave at vacuum/porous medium interface are investigated in the low frequency range. It is shown that the Stoneley wave possesses a bifurcation in the vicinity of critical wave number $k_cr$. It is proven also that within the $k$-domain of existence, the Stoneley wave cannot appear for certain values of elastic moduli of the solid phase. Asymptotic formulae for the phase velocity of the Stoneley wave are presented.

Appeared in

  • Wave Motion 39 (2004), No. 2, pp. 111--127

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