Solution of a two-dimensional cochlea model with fluid viscosity

Randall J. Leveque, Charles S. Peskin, Peter D. Lax

Research output: Contribution to journalArticlepeer-review


We study the propagation of waves on the basilar membrane using a two-dimensional linear model of the cochlea. We apply the techniques developed in our previous paper to a modified model in which fluid viscosity has been included as a damping mechanism in addition to membrane friction. Numerical and asymptotic results are obtained that agree with prior known results. We also calculate the energy dissipation during propagation which gives an expression for the wave amplitude as a function of input power, for each frequency. This gives a normalization of the cochlea wave that allows us to determine the frequency response of a fixed nerve fiber.

Original languageEnglish (US)
Pages (from-to)191-213
Number of pages23
JournalSIAM Journal on Applied Mathematics
Issue number1
StatePublished - 1988

ASJC Scopus subject areas

  • Applied Mathematics


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