Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Port-Hamiltonian modeling of district heating networks   This paper provides a first contribution to port-Hamiltonian modeling of
district heating networks. By introducing a model hierarchy of flow equations
on the network, this work aims at a thermodynamically consistent
port-Hamiltonian embedding of the partial differential-algebraic systems. We
show that a spatially discretized network model describing the advection of the
internal energy density with respect to an underlying incompressible stationary
Euler-type hydrodynamics can be considered as a parameter-dependent
finite-dimensional port-Hamiltonian system. Moreover, we present an
infinite-dimensional port-Hamiltonian formulation for a compressible
instationary thermodynamic fluid flow in a pipe. Based on these first promising
results, we raise open questions and point out research perspectives concerning
structure-preserving discretization, model reduction, and optimization.

15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio