Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Control of Convection-Cooling and Numerical Implementation   This paper is concerned with the problem of enhancing convection-cooling via
active control of the incompressible velocity field, described by a stationary
diffusion-convection model. This essentially leads to a bilinear optimal
control problem. A rigorous proof of the existence of an optimal control is
presented and the first order optimality conditions are derived for solving the
control using a variational inequality. Moreover, the second order sufficient
conditions are established to characterize the local minimizer. Finally,
numerical experiments are conducted utilizing finite elements methods together
with nonlinear iterative schemes, to demonstrate and validate the effectiveness
of our control design.

17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ