Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Helmholtz equation in a semi-infinite strip with impedance boundary
  conditions of the third and fifth orders   Two boundary value problems for the Helmholtz equation in a semi-infinite
strip are considered. The main feature of these problems is that, in addition
to the function and its normal derivative on the boundary, the functionals of
the boundary conditions possess tangential derivatives of the second and fourth
orders. Also, the setting of the problems is complimented by certain edge
conditions at the two vertices of the semi-strip. The problems model wave
propagation in a semi-infinite waveguide with membrane and plate walls. A
technique for the exact solution of these fluid-structure interaction problems
is proposed. It requires application of two Laplace transforms with respect to
both variables with the parameter of the second transform being a certain
function of the first Laplace transform parameter. Ultimately, this method
yields two scalar Riemann-Hilbert problems with the same coefficient and
different right-hand sides. The dependence of the existence and uniqueness
results of the physical model problems on the index of the Riemann-Hilbert
problem is discussed.

24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat