Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform in time lower bound for solutions to a quantum Boltzmann
  equation of bosons   We consider the quantum Boltzmann equation, which describes the growth of the
condensate, or in other words, models the interaction between excited atoms and
a condensate. In this work, the full form of Bogoliubov dispersion law is
considered, which leads to a detailed study of surface integrals inside the
collision operator on energy manifolds. We prove that positive radial solutions
of the quantum Boltzmann equation are bounded from below by a Gaussian,
uniformly in time.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys