FLUX-INDUCED INSTABILITIES IN IONIC AND POPULATION-DYNAMICAL INTERACTION SYSTEMS

Nonlinear interactions, diffusion, transport and locomotion of chemica l or biological species are described by a system of reaction-diffusio n-advection equations. Its transient and stationary nonequilibrium sol utions in space and time are considered as patchy patterns in chemical reactors or biological communities. Recent results on the general mec hanism of three-dimensional spatial pattern formation after differenti al-flux-induced instabilities of a spatially uniform density distribut ion are summarized and extended to electric-field induced differential -flow instabilities in ionic reaction systems.