Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable discontinuous stationary solutions to reaction-diffusion-ODE
  systems   A general system of n ordinary differential equations coupled with one
reaction-diffusion equation, considered in a bounded N-dimensional domain, with
no-flux boundary condition is studied in a context of pattern formation. Such
initial boundary value problems may have different types of stationary
solutions. In our parallel work [Instability of all regular stationary
solutions to reaction-diffusion-ODE systems (2021)], regular (i.e. sufficiently
smooth) stationary solutions are shown to exist, however, all of them are
unstable. The goal of this work is to construct discontinuous stationary
solutions to general reaction-diffusion-ODE systems and to find sufficient
conditions for their stability.

15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
3
The categories of this paper are: physics
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th