5 citations · 5 across the 3 of their papers we have counts for
3 papers
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.AP2022★ 5 cited
Extinction of multiple shocks in the modular Burgers equation
Dmitry E. Pelinovsky, Bjorn de Rijk
We consider multiple shock waves in the Burgers' equation with a modular advection term. It was previously shown that the modular Burgers' equation admits a traveling viscous shock…
math.AP2020
Global existence and decay in multi-component reaction-diffusion-advection systems with different velocities: oscillations in time and frequency
Björn de Rijk, Guido Schneider
It is well-known that quadratic or cubic nonlinearities in reaction-diffusion-advection systems can lead to growth of solutions with small, localized initial data and even finite t…