Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the uniqueness of weak solutions to a class of cross-diffusion
  systems   The uniqueness of bounded weak solutions to strongly coupled parabolic
equations in a bounded domain with no-flux boundary conditions is shown. The
equations include cross-diffusion and drift terms and are coupled
selfconsistently to the Poisson equation. The model class contains special
cases of the Maxwell-Stefan equations for gas mixtures, generalized
Shigesada-Kawasaki-Teramoto equations for population dynamics, and
volume-filling models for ion transport. The uniqueness proof is based on a
combination of the $H^{-1}$ technique and the entropy method of Gajewski.

21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
19
The categories of this paper are: eess
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci