Speaker
Cristobal Arratia
(Stockholm University)
Description
Explaining transition to turbulence in shear flows is a long-standing challenge that can be traced back to classical experiments by Reynolds in 1883. The most common and challenging case occurs in the absence of linear instabilities, for which there is no obvious way to build a perturbative approach to describe the initial departure from the laminar profile. In this talk, we will provide an overview of insights developed on this problem during the last few decades through a variety of methodological approaches. These range from the study of the linearized dynamics in small periodic domains, to the characterization and modelling of the interaction between distinct regions of laminar and turbulent flow in extended domains.