Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of acoustic oscillations for a class of hydrodynamic systems
  describing quantum fluids   Hydrodynamic systems for quantum fluids are systems for compressible fluid
flows for which quantum effects are macroscopically relevant. We discuss how
the presence of the dispersive tensor describing the quantum effects alters the
acoustic dispersion at the example of the Quantum Hydrodynamic system (QHD).
For the QHD system the dispersion relation is given by the Bogoliubov
dispersion relation for weakly interacting Bose gases. We provide refined
Strichartz estimates allowing for an accurate control of acoustic oscillations.
Applications to the low Mach number limit for the quantum Navier-Stokes
equations and the QHD system are discussed. The dispersive analysis generalizes
to some Euler- and Navier-Stokes-Korteweg systems for capillary fluids.

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The categories of this paper are: cs
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th