Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic stabilization of an acoustic system with a damping term of
  Brinkman type   We study the problem of stabilization for the acoustic system with a
spatially distributed damping. Without imposing any hypotheses on the
structural properties of the damping term, we identify logarithmic decay of
solutions with growing time. Logarithmic decay rate is shown by using a
frequency domain method and combines a contradiction argument with the
multiplier technique and a new Carleman estimate to carry out a special
analysis for the resolvent.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph