Joannis Alexopoulos, PhD

  • Englerstraße 2
    76131 Karlsruhe

Welcome! I am a PostDoc at the Institute for Analysis in the working group for nonlinear PDEs and my position is funded by the CRC "Wave Phenomena".

Research interests

Some keywords:

  • Nonlinear stability of periodic wave trains and variants
  • Nonlinear dynamics under nonlocalized data
  • Degenerate diffusion equations
  • Nonlinear Schrödinger equations
  • Diffusive and hyperbolic relaxation systems
Publications
  • J. Alexopoulos und B. de Rijk — Nonlinear stability of periodic wave trains in the FitzHugh-Nagumo system against fully nonlocalized perturbations, J. Differential Equations 457 (2025). (DOI, Preprint) . 
  • J. Alexopoulos — Uniformity in the Fourier inversion formula with applications to Laplace transforms, Arch. Math. 125, 413–432 (2025). (DOI, Preprint). 
  • J. Alexopoulos — Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations (Preprint, 2025) (to appear in Phys. D: Nonlinear Phenom.). 
  • J. Alexopoulos and B. de Rijk —  Nonlinear dynamics of reaction-diffusion wave trains under large and fully nonlocalized modulations (Preprint, 2025).
  • J. Alexopoulos  — Nonlinear stability of periodic wave trains against nonlocalized perturbations, PhD Thesis (2025), Karlsruhe Institute of Technology (DOI)
Poster and Presentations

On the result to FitzHugh-Nagumo system:

On the result to the Lugiato-Lefever equation: