We study the numerical approximation of singularly perturbed convection-diffusion problems
on one-dimensional pipe networks. In the vanishing diffusion limit, the number and type of …

Partial differential equation on networks have been widely investigated in the last decades
in view of their application to quantum mechanics (Schr\" odinger type equations) or to the …

In this note, we prove a controllability result for entropy solutions of scalar conservation laws
on a star-shaped graph. Using a Lyapunov-type approach, we show that, under a …

The boundary null controllability of a system of N linear KdV equations posed on a star-
shaped network is studied. The controls are located on the right Dirichlet and Neumann …

In this thesis, we study stabilization problems for the Korteweg-de Vries equation in a
bounded domain and in a star-shaped network structure. More specifically, the focus of this …

In this paper we consider the heat equation with Neumann, Robin and mixed boundary
conditions (with coefficients on the boundary which depend on the space variable). The …

We study the numerical approximation of singularly perturbed convection-diffusion problems
on one-dimensional pipe networks. In the vanishing diffusion limit, the number and type of …

Many physical, biological, chemical, financial, and social phenomena can be described by
dynamical systems and frequently the dynamics are coupled in a networked structure. The …

In this thesis, we consider three different model problems on one-dimensional networks with
applications in gas, water supply, and district heating networks, as well as bacterial …

The main focus of this thesis is on the study of singular limits related to scalar conservation
laws. These are first-order partial differential equations that describe how the amount of a …