Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hemivariational inequality for stationary Navier-Stokes equations:
  existence, dependence and optimal control   In this paper we study existence, dependence and optimal control results
concerning solutions to a class of hemivariational inequalities for stationary
Navier-Stokes equations but without making use of the theory of pseudo-monotone
operators. To do so, we consider a classical assumption, due to J. Rauch, which
constrains us to make a slight change on the definition of a solution. The
Rauch assumption,, although insure the existence of a solution, does not allow
the conclusion that the non-convex functional is locally Lipschitz. Moreover,
two dependence results are proved, one with respect to changes of the boundary
condition and the other with respect to the density of external forces. The
later one will be used to prove the existence of an optimal control to the
distributed parameter optimal control problem where the control is represented
by the external forces.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs