Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal control of the Primitive Equations of the Ocean with Lagrangian
  observations   We consider an optimal control problem for the three-dimensional non-linear
Primitive Equations of the ocean in a vertically bounded and horizontally
periodic domain. The observation operator maps a solution of the Primitive
Equations to the trajectory of a Lagrangian particle. This paper proves the
existence of an optimal control for the regularized problem. To do that, we
prove also new energy estimates for the Primitive Equations, thanks to
well-chosen functional spaces, which distinguish the vertical dimension from
the horizontal ones. We illustrate the result with a numerical experiment.

29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex