Edgar Knobloch

In this talk I will describe some properties of Meinhardt's model of sidebranching. This is a four-species reaction-diffusion model dating from 1976 describing the interaction of four fields, the concentrations of an activator, an inhibitor, the...

Spatially localized structures occur widely across the physical sciences. Classic examples include localized buckling of slender structures, localized oscillations in vertically vibrated granular media (oscillons) and localized convection in fluid...

Spatially localized structures arise frequently in nature. Examples include localized buckling, spot-like structures in optics and in reaction-diffusion models, vortices in fluid dynamics, as well as localized oscillations known as oscillons. In all...