Recently, deep residual networks have been successfully applied in many computer vision
and natural language processing tasks, pushing the state-of-the-art performance with …

This paper focuses on the analytical properties of the solutions to the continuity equation
with non local flow. Our driving examples are a supply chain model and an equation for the …

We consider traffic flow models for road networks where the flow is controlled at the nodes of
the network. For the analytical and numerical optimization of the control, the knowledge of …

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 …

This article presents a study on freeway networks instrumented with coordinated ramp
metering and the ability of such control systems to produce arbitrarily complex congestion …

We present two error estimation approaches for bounding or correcting the error in
functional estimates such as lift or drag. Adjoint methods quantify the error in a particular …

We propose a rigorous procedure to obtain the adjoint-based gradient representation of cost
functionals for the optimal control of discontinuous solutions of conservation laws. Hereby, it …

A production system which produces a large number of items in many steps can be
modelled as a continuous flow problem. The resulting hyperbolic partial differential equation …

The paper is concerned with an adjoint complement to the Volume-of-Fluid (VoF) method for
immiscible two-phase flows, eg air and water, which is widely used in marine engineering …

We prove the convergence of solutions of nonlocal conservation laws to their local entropic
counterpart for a fundamentally extended class of nonlocal kernels when these kernels …