Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal control of steady second grade fluids with a Navier-slip
  boundary condition   In this paper, we first investigate necessary optimality conditions for
problems governed by systems describing the flow of an incompressible second
grade fluid. Next, we study the asymptotic behavior of the optimal solution
when the viscoelastic parameter tends to zero, and prove that the corresponding
sequence converges to a solution of an optimal control problem governed by the
Navier-Stokes equations whose optimality conditions are recovered by passage to
the limit.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex