In order to become worldly things, that is, deeds and facts and events and patterns of
thoughts or ideas,[action, speech, and thought] must first be seen, heard, and remembered …

We explain how operator semigroups can be used to study transport processes in networks.
This method is applied to a linear Boltzmann equation on a finite as well as on an infinite …

In this paper we extend some of the previous results for a system of transport equations on a
closed network. We consider the Cauchy problem for a flow on a reducible network; that is, a …

We consider a linear transport equation on the edges of a network with time-varying
coefficients. Using methods for non-autonomous abstract Cauchy problems, we obtain well …

The aim of this paper is to investigate a constrained optimal control problem governed by a
class of semilinear infinite dimensional systems. For a state-quadratic cost functional and a …

We show that for a system of transport equations defined on an infinite network, the
semigroup generated is hypercyclic if and only if the adjacency matrix of the line graph is …

In this paper, the rich feedback theory of regular linear systems in the Salamon-Weiss sense
as well as some advanced tools in semigroup theory are used to formulate and solve control …

In this thesis, we study analytically a low Mach number model on a network describing the
flow of fluids or gases driven by a strong heat source. This model can for example be used to …

In this paper, we study the well-posedness and approximate controllability of a class of
network systems having delays and controls at the boundary conditions. The particularity of …

This thesis is dedicated to the study of flows on a network. In the first part of the work, we
describe notation and give the necessary results from graph theory and operator theory that …