Spatio-Temporal Stability Analysis of Shear Flows: Using analytical and non-analytical approaches

A comprehensive understanding of the stability of shear flows is a fundamental problem in fluid mechanics and it has been a subject of both theoretical and practical interest in engineering research. A key aspect of these dynamic flows is the behaviour exhibited by the instabilities as it evolves from initial small perturbations of an...

Laplacian Instability of Planar Streamer Ionization Fronts: An Example of Pulled Front Analysis

Streamer ionization fronts are pulled fronts that propagate into a linearly unstable state; the spatial decay of the initial condition of a planar front selects dynamically one specific long-time attractor out of a continuous family. A stability analysis for perturbations in the transverse direction has to take these features into account. In...