Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stokes-Dirac Structures through Reduction of Infinite-Dimensional Dirac
  Structures   We consider the concept of Stokes-Dirac structures in boundary control theory
proposed by van der Schaft and Maschke. We introduce Poisson reduction in this
context and show how Stokes-Dirac structures can be derived through symmetry
reduction from a canonical Dirac structure on the unreduced phase space. In
this way, we recover not only the standard structure matrix of Stokes-Dirac
structures, but also the typical non-canonical advection terms in (for
instance) the Euler equation.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex