Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds for global solutions of a reaction diffusion system with the
  Robin boundary conditions   In this paper, we consider the large-time behavior of solutions of a reaction
diffusion system arising from a nuclear reactor model with the Robin boundary
conditions, which consists of two real-valued unknown functions. In particular,
we show that global solutions of this system are uniformly bounded in a
suitable norm with respect to time. Since this system has no variational
structure, we cannot apply the standard methods relying on the Lyapunov
functional in order to obtain a priori estimates of global solutions. To cope
with this difficulty, we make use of the weighted $L^1$ norm characterized by
the first eigenfunction of Laplacian with the Robin boundary condition.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org