Well-posedness of linear spatially multidimensional port-Hamiltonian systemsOberseminar Analysis

by Prof. Nathanael Skrepek (University of Twente)

Thursday Nov 6, 2025, 2:15 PM → 4:15 PM Europe/Berlin

2.040 (Mathezentrum)

We consider a class of dynamical systems that are described by time and space dependent partial differential equations.

This class fits perfectly the port-Hamiltonian framework. We cover the wave equation, Maxwell's equations, the Kirchhoff-Love plate model, piezo-electromagnetic systems and many more.
Our goal is to characterize boundary conditions that make the systems passive (the energy of solutions decays). This is done by constructing a boundary triple for the underlying differential operator. As a by-product we develop the theory of quasi Gelfand triples, which enables us to regard L2 boundary conditions even though the "natural" boundary spaces are neither included nor covering L2.