Solution of a two-dimensional cochlea model with fluid viscosity

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.