M.Sc. Lukas Bengel
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by appointment
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Kollegiengebäude Mathematik (20.30)
-1.021
+49 721 608 42046
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lukas.bengel@kit.edu
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Englerstrasse 2
76131 Karlsruhe
Germany
I’m a doctoral researcher under the supervision of Prof. Wolfgang Reichel within the project on frequency combs of the CRC “Wave phenomena: analysis and numerics”.
Research interests
- Nonlinear partial differential equations
- Existence and stability of nonlinear waves
- Bifurcation theory
- Numerical continuation and bifurcation
- Nonlinear optics
Publications/Preprints
- L. Bengel, B. de Rijk, Existence and stability of soliton-based frequency combs in the Lugiato-Lefever equation, (submitted). preprint
- L. Bengel, B. de Rijk, Multiple front and pulse solutions in spatially periodic systems, (submitted). preprint
- L. Bengel, W. Reichel, Analysis of Kerr frequency combs in microresonators with two-photon absorption and free-carriers, accepted (Springer Proceedings on Applications of Mathematical Methods). preprint
- L. Bengel, Stability of solitary wave solutions in the Lugiato-Lefever equation, Z. Angew. Math. Phys. 75, 130 (2024). Article, preprint
- L. Bengel, D. Pelinovsky, W. Reichel, Pinning in the extended Lugiato-Lefever equation, SIAM J. Math. Anal. 56 (2024), no. 3, 3679-3702. Article, preprint
Current List of Courses
| Semester | Titel | Typ |
|---|---|---|
| Winter Semester 2024/25 | Höhere Mathematik III für die Fachrichtung Physik | Lecture |
| Summer Semester 2024 | Numerical Methods (Electrical Engineering, Meteorology, Remote Sensing, Geoinformatics) | Lecture |
| Summer Semester 2023 | Analysis 2 | Lecture |
| Proseminar Analysis (Iterationsverfahren) | Proseminar | |
| Winter Semester 2022/23 | Analysis I | Lecture |
| Vorkurs Mathematik - für Mathematiker*innen | Lecture |