3 papers
math.NA2026
On the Existence of Steady States for Blended Gas Flow with Non-Constant Compressibility Factor on Networks
Simone Göttlich, Michael Schuster, Alena Ulke
In this paper, we study hydrogen-natural gas mixtures transported through pipeline networks. The flow is modeled by the isothermal Euler equations with a pressure law involving a n…
math.AP2024
Steady State Blended Gas Flow on Networks: Existence and Uniqueness of Solutions
Alena Ulke, Michael Schuster, Simone Göttlich
We prove an existence result for the steady state flow of gas mixtures on networks. The basis of the model are the physical principles of the isothermal Euler equation, coupling co…
math.OC2024
Speed limits in traffic emission models using multi-objective optimization
Simone Göttlich, Michael Herty, Alena Ulke
Climate change compels a reduction of greenhouse gas emissions, yet vehicular traffic still contributes significantly to the emission of air pollutants. Hence, in this paper we foc…