Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced equations for an active model of the hydroelastic waves in the
  cochlea   Building upon our earlier passive models for the cochlea, here we enhance the
model with an active mechanism. Starting with a one-chamber simplification
leading to a system of a time-dependent PDE in two spatial variables for the
pressure coupled to a PDE in one spatial variable for the oscillation of the
basilar membrane, we rigorously establish the validity of a dimension reduction
to a system to two ODE's. We then present numerical simulations demonstrating
the ability of this reduced active system to distinguish and amplify
multi-frequency input signals.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ