We consider optimal control problems for the flow of gas or fresh water in pipe networks as
well as drainage or sewer systems in open canals. The equations of motion are taken to be …

A new extended direct algebraic method is applied to extract new traveling wave solutions
for non-linear directional couplers with the optical meta-materials. This model studies light …

This paper is concerned with the continuous-time Vickrey model, which was first introduced
in Vickrey (1969). This model can be described by an ordinary differential equation (ODE) …

We discuss continuous traffic flow network models including traffic lights. A mathematical
model for traffic light settings within a macroscopic continuous traffic flow network is …

In transportation and other types of facilities, various queues arise when the demands of
service are higher than the supplies, and many point and fluid queue models have been …

A finite volume scheme for the numerical solution of a mathematical model for non-
isothermal non-adiabatic compressible flow of a real gas in a pipeline is introduced. In order …

In this paper scalar macroscopic models for traffic and pedestrian flows are coupled and the
resulting system is investigated numerically. For the traffic flow the classical Lighthill …

A finite volume scheme for the numerical solution of a non-isothermal non-adiabatic
compressible flow model for gas transportation networks on non-flat topography is …

We consider a supply network where the flow of parts can be controlled at the vertices of the
network. Based on a coarse grid discretization provided in [6] we derive discrete adjoint …

In this paper, we propose a model for a sewer network coupled to surface flow and
investigate it numerically. In particular, we present a new model for the manholes in storm …