Joint Mathematics Colloquium
Mathematical modeling, analysis and numerical methods for modern energy transport networks
Speaker: Volker Mehrmann (TU Berlin)Date: Friday, 16 January 2026 - 13:00Place: Salón de Grados del Edificio Padre Soler, Campus de Leganés, Universidad Carlos III de Madrid
Online: https://www.youtube.com/live/b-H5LgONysM
Abstract:
Mathematical models in form of differential equations are used in all areas of science and engineering for the simulation, control and optimization of real world physical systems. Ideally such models are close to the real physical system in the sense that the physical properties are encoded in the mathematical structure of the equations. The model equations should be easy to analyze and allow for good numerical methods that reflect the physical properties as well. A modern modeling paradigm is that of port-Hamiltonian systems, which orginates from Hamilton dynamics enriched with inputs, outputs and constraints. We will describe this framework and analyze its properties from an algebraic, analytic and geometric point of view. We will illustrate the successful use of the model class at the hand of district heating and gas transport networks modelled by the one dimensional Euler equations.
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