M.Sc. Joannis Alexopoulos
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by appointment
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Kollegiengebäude Mathematik (20.30)
-1.020
+49 721 608 43193
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joannis.alexopoulos@kit.edu
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Englerstrasse 2
76131 Karlsruhe
Germany
Welcome to my webpage. I am a PhD student in the working group for nonlinear PDEs as part of the institute for analysis and under the supervision of Dr. Björn de Rijk.
Current List of Courses
| Semester | Titel | Typ |
|---|---|---|
| Winter Semester 2024/25 | Vorkurs zum Mathematikstudium | Lecture |
Research Interests
- Nonlinear stability of periodic waves against nonlocalized and nonperiodic perturbations
- Long-time behaviour, global existence and regularity of solutions in equations and systems with nonlinear (degenerate) or cross-diffusion
Publications
- J. Alexopoulos and B. de Rijk — Nonlinear stability of periodic wave trains in the FitzHugh-Nagumo system against fully nonlocalized perturbations (Preprint, 2024). arXiv
- J. Alexopoulos — Uniformity in the Fourier inversion formula with applications to Laplace transforms (Preprint, 2025). arXiv
- J. Alexopoulos — Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations (Preprint, 2025). arXiv
Poster und Presentations
- About the result on the FitzHugh-Nagumo system:
- Poster in Konstanz, June 2024
- Presentation for the annual CRC-meeting 2023
- About the result on the Lugiato-Lefever equation:
- Presentation for the annual CRC-meeting 2025