Nathanael Skrepek (University of Twente)
Well-posedness of linear spatially multidimensional port-Hamiltonian systems.
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.
