Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical analysis and numerical resolution of a heat transfer
  problem arising in water recirculation   This work is devoted to the analysis and resolution of a well-posed
mathematical model for several processes involved in the artificial circulation
of water in a large waterbody. This novel formulation couples the convective
heat transfer equation with the modified Navier-Stokes system following a
Smagorinsky turbulence model, completed with a suitable set of mixed,
nonhomogeneous boundary conditions of diffusive, convective and radiative type.
We prove several theoretical results related to existence of solution, and
propose a full algorithm for its computation, illustrated with some realistic
numerical examples.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg