01.12.2025 15:00 Henrique Fernandes de Gueifão Colaço e Caldas:
Travelling Waves in Transition to Turbulence - a Multiscale Dynamics ApproachMI 03.06.011 (Boltzmannstr. 3, 85748 Garching)
The onset of turbulence in pipe flows has captivated scientists and mathematicians for over a century. In this talk, we adopt a dynamical systems approach on an experimentally validated predator-prey model for the onset of turbulence. We apply a travelling wave ansatz to a PDE system and conduct a stability analysis of the resulting ODE system. Using fast-slow techniques introduced by Geometric Singular Perturbation Theory, we seek heteroclinic connections between the physically relevant saddles in the system. Finally, we discuss challenges and open research questions set by this study.