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Institute for Analysis
Workgroup Nonlinear Partial Differential Equations
M.Sc. Joannis Alexopoulos
Photo of Joannis Alexopoulos

M.Sc. Joannis Alexopoulos

  • 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
Winter Semester 2023/24 Introduction to Dynamical Systems 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

Poster und Presentations

  • About the result on the FitzHugh-Nagumo system: