Research
Interests Link to heading
- Infinite-dimensional differential-algebraic equations (short DAEs).
- Index of DAEs.
- Solvability and solution representations of DAEs.
- Port-Hamiltonian DAEs
Research Stays Link to heading
University of Waterloo, Ontario, Canada, Oct 2023 - Dec 2023
This stay was supervised by Prof. Dr. Kirsten Morris. This stay was partly funded by the NSERC (Canada).
Contributed talk: Weierstraß form and port-Hamiltonian DAEs.
Preprints Link to heading
M. Erbay, B. Jacob, T. Reis, Differential algebraic system nodes, arXiV:2511.17035, 2025.
M. Erbay, B. Jacob, T. Reis, Integrated Semigroups for abstract differential-algebraic equations, arXiV:2509.02814, 2025.
Published Link to heading
M. Erbay, B. Jacob, K. Morris, On the weierstraß form of infinite dimensional differential algebraic equations, Journal of Evolution Equations, 24 (73), 2024.
M. Erbay, B. Jacob, K. Morris, T. Reis, C. Tischendorf, Index Concepts for Linear Differential-Algebraic Equations in Infinite Dimensions, DAE Panel, 2, 2024.
Research Programs Link to heading
- Institut für Mathematical Modelling, Analysis and Computational Mathematics (IMACM)
- IMACM-Juniors
- Franco-German Doctoral College Port-Hamiltonian Systems: Modeling, Numerics and Control
- IRTG - CRC 1701
Participated Conferences and Given Presentations Link to heading
| Date | Conference and contribution |
|---|---|
| 11.2025 | 1st IRTG Workshop - CRC 1701 Port-Hamiltonian Systems, Wuppertal, Germany Contributed Poster: A port-Hamiltonian differential algebraic system node approach |
| 10.2025 | Doctoral College: “Port-Hamiltonian Systems: Modeling, Numerics and Control, Groningen, Netherlands |
| 09.2025 | 1st Annual Retreat - CRC 1701 Port-Hamiltonian Systems, Balve, Germany Contributed Talk: A01: Infinite-dimensional differential-algebraic pHS - together with A. Fischer, B. Jacob, T. Reis |
| 07.2025 | SIAM Conference on Control and Its Applications (CT 25), Montreal, Canada Contributed Talk: Tutorial on Differential Algebraic Equation - together with A. Alalabi, H. Gernandt Contributed Talk: Integrated Semigroups for abstract dissipative-Hamiltonian DAEs |
| 03.2025 | Spring School on Theory and Application of Port-Hamiltonian Systems 2025, Fraueninsel, Chiemsee, Germany Contributed Poster: Integrated semigroups and a port-Hamiltonian differential-algebraic system node approach |
| 03.2025 | 10th Workshop on Differential-Algebraic Equations - Descriptor 2025, Paderborn, Germany Contributed Talk: Integrated Semigroups and a Differential-Algebraic System Node Apporach |
| 12.2024 | 1st Port-Hamiltonian Symposium, Wuppertal, Germany Project Organization: Dissipative Hamiltonian DAEs in infinite dimensions |
| 10.2024 | Doctoral College: “Port-Hamiltonian Systems: Modeling, Numerics and Control, Twente, Netherlands |
| 08.2024 | 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, United Kingdom Contributed Talk: On the Weierstraß form of infinite dimensional differential algebraic equations |
| 05.2024 | GAMM Activity Group Applied Operator Theory and the Bremen-Hamburg-Kiel-Oldenburg Seminar, Hamburg, German Contributed Talk: Solvability of infinite-dimensional port-Hamiltonian DAEs |
| 03.2024 | Doctoral College: “Port-Hamiltonian Systems: Modeling, Numerics and Control, Toulouse, France Contribted Talk: Solvability of infinite-dimensional port-Hamiltonian DAEs |
| 04.2023 | Differential-Algebraic Equations and Operator Pencils Workshop, Banff, Canada |
| 03.2023 | Doctoral College: “Port-Hamiltonian Systems: Modeling, Numerics and Control, Wuppertal, Germany Contributed Talk: Infinite-dimensional port-Hamiltonian DAEs |
| 11.2022 | Doctoral College: “Port-Hamiltonian Systems: Modeling, Numerics and Control, Besançon, France |
| 06.2022 | 25th Internet Seminar: Spectral Theory for Operators and Semigroups, Salerno, Italy Contributed Project: Semi-uniform Stability for Bounded Semigroups |
| 03.2022 | Spring School on Theory and Applications of Port-Hamiltonian Systems 2022 Fraueninsel, Chiemsee, Germany |
| 11.2021 | Mathematical Seminar, Alfréd Rényi Institute of Mathematic, Budapest, Hungary Contributed Talk: Discrete Approximation of Unbounded Operators and Approximation of their Spectra |
| 08.2021 | International Workshop on Operator Theory and its Applications, Lancaster, United Kingdom (online due to Covid) |
| 07.2021 | 24th Internet Seminar: C∗-algebras and dynamics (online due to Covid) Contributed Project: The Calkin algebra |
| 07.2020 | 23th Internet Seminar: Evolutionary Equations, Wuppertal, Germany (online due to Covid) Contributed Project: Semigroups and Evolutionary Equations |