Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Genuine Hydrodynamic Analysis to the 1-D QHD system: Existence,
  Dispersion and Stability   In this paper we consider the one dimensional quantum hydrodynamics (QHD)
system, with a genuine hydrodynamic approach. The global existence of weak
solutions with large data has been obtained in [2, 3], in several space
dimensions, by using the connection between the hydrodynamic variables and the
Schr\"odinger wave function. One of the main purposes of the present paper is
to overcome the need to postulate the a priori existence of a wave function
that generates the hydrodynamic data. Moreover, we introduce a novel
functional, related to the chemical potential in the quantum probability
density $\rho\,dx$, which allow us to obtain stability properties for a large
class of weak solutions in the finite energy space.

19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci