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math.AP2025
Nonlinear dynamics of reaction-diffusion wave trains under large and fully nonlocalized modulations
Joannis Alexopoulos, Björn de Rijk
We study the dynamics of periodic wave trains in reaction-diffusion systems on the real line under large, fully nonlocalized modulations. We prove that solutions with nearby initia…
math.AP2025
Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations
Joannis Alexopoulos
In recent years, essential progress has been made in the nonlinear stability analysis of periodic Lugiato-Lefever waves against co-periodic and localized perturbations. Inspired by…