| Datum | Gastredner | Thema | Ort |
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Im Rahmen des Mathematischen Kolloquiums Oberseminar Analysis, Mathematische Physik, Dynamische Systeme |
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| 09.12.2025 14.15 Uhr |
Dr. Nathanael Skrepek TU Freiberg |
Well-posedness of linear spatially multidimensional port-Hamiltonian systems
ZusammenfassungWe 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.
[Abstract]
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M 911 |