Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic stability of wave equations coupled by velocities   This paper is devoted to study the asymptotic stability of wave equations
with constant coefficients coupled by velocities. By using Riesz basis
approach, multiplier method and frequency domain approach respectively, we find
the sufficient and necessary condition, that the coefficients satisfy, leading
to the exponential stability of the system. In addition, we give the optimal
decay rate in one dimensional case.

31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex